{"text":"Question: Let r(c) = c**3 - 149*c**2 + 1648*c - 513. Give r(137).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2211221212 (base 3) in base 12?\nAnswer: 28572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157 - 654*p**2 - 157 - p**2.\nAnswer: -655*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 27*a**2 - 103*a + 474. Is c(5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.2351 - -0.0331. Which is the third smallest value? (a) 3\/7 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11330 - -32022233?\nAnswer: 32010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5 - -4)\/(3\/21). Let o(w) = -31*w**2 + 8*w + 36. Let z(k) = 31*k**2 - 9*k - 37. Let j(s) = -6*o(s) - 5*z(s). Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 202073 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 36*q**2 - 423*q + 7. What is b(13)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 2*g + 6. Give u(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -2 + -1 + 3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11 and 140591.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 4*j = 4388, -j - 255 = -r + 846. Suppose -r = -4*y - 2*i + i, 265 = y - 3*i. Calculate the remainder when y is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 44*c**2 - 95*c - 117. Let o be z(-46). Calculate the greatest common factor of o and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-30)\/20*4\/(-6)*-9. Let w be (6\/27)\/((-1)\/o). Let q be (-220)\/(-33)*((-23)\/(-2) + w). Calculate the greatest common divisor of 225 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 116 - -1?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, -1\/7, -3\/23, 4.\nAnswer: -1\/7, -3\/23, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/9, 12, 2\/11, 0.4, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (3*y + 2*y - 3*y)*(8 + 0 - 3)*(-1 - 1 + 4) as h*y + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 263455362481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -34909 and 5.\nAnswer: -174545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**3 + 11*a**2 + 18*a + 5. Let d be b(-9). Suppose 126 = d*g - 2099. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -110*m**4 - 12*m + 301. Let v(k) be the first derivative of 108*k**5\/5 + 5*k**2 - 302*k - 26. Let a(b) = 5*t(b) + 6*v(b). Differentiate a(u) wrt u.\nAnswer: 392*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13525, 27042, 40551, 54052, 67545?\nAnswer: 81030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the third derivative of -c**7\/140 + 7*c**6\/40 - 5*c**5\/8 + 3*c**4\/4 + 81*c**2. Factor q(f).\nAnswer: -3*f*(f - 12)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 398.322 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/4 of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**3 + 9*c**2 - 5*c - 4. Suppose 16 = -z + 3*z. Let a be x(z). Let r = -28599.3 + 28599. What is the second smallest value in a, 2, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1 + sqrt(637) - (sqrt(13) + -1 + -5 - sqrt(13) - sqrt(13))).\nAnswer: -32*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 + 5*u**2 + 6*u - 2. Let z be v(-3). Is -2 + 6\/z + 8642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**2 + 3*m - 3. Let g be b(-6). Let r = 3 + g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100000101001 (base 2) in base 14?\nAnswer: -a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*((q\/((q*q**10)\/q))\/q)\/q*q*q**1\/q assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 551, 2630, 6081, 10892, 17051, 24546, 33365?\nAnswer: 43496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61377 is divided by 10219.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 168759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) -1 (c) -9\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/((n*(n\/n**(-6\/13))\/n*n)\/n))\/n*n\/(n\/((n**(2\/11)\/n)\/n*n))*n*n*(n*n**(2\/23))**(-2) assuming n is positive.\nAnswer: n**(-8070\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2714, -6392, -16372, -35804, -67838?\nAnswer: -115624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -9383\/77833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (1*((sqrt(8)*1)**2 - sqrt(8)) + sqrt(8))*-2 - ((sqrt(22) - sqrt(22)*1*2) + sqrt(22))\/(sqrt(55)\/sqrt(80)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -50 + 60 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -18*k**2 - 620*k + 48. Let h be g(-35). Which is bigger: -305 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 2*l - 1 = -5, -5*s + 2 = -l. Suppose -4*d + 1154 + 122 = s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -505355405345 - 0?\nAnswer: -505355405345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -33 (b) -245 (c) 16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5)\/(-1)*30\/25. Let a = i + -3. Suppose -27 = -3*g - a*j, 5*j - 8 - 1 = g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w + 0*w + 0*w)*(-3 + 0 + 4)*(-4 + 1 + 0)*(1 + 0 - 2)*(-3*w**4 + 2*w**4 + 2*w**4).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/2*-1*0 - -2. Suppose -2*p + 58 = 4*o, -2 = 5*p + 13. Suppose -3*u = u + o. Sort u, -2, b in ascending order.\nAnswer: u, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 98 - 78. Suppose s*l = 16*l + 28. Solve -5*p + l = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -5*v**2 - 10*v + 47. What is m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5505*a - 11052*a + 5540*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 - 4*x + 3. Let f(z) be the second derivative of -z**5\/20 - z**4\/3 - z**3\/6 + 3*z. Let i be f(-4). Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 + 60 + -52 + -23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of -9*k**2 + 8*k**2 + 4 + 7*k - 3*k + 4*k. Let g(r) = 1. Let v(a) = -6*g(a) + s(a). Calculate v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -15*b - 2. Let k = 338 + -185. Let x(j) = 7*j - k + 154 + 0*j. Let t = -8 + 14. Give t*w(y) + 13*x(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -17680, -71028, -159926, -284362, -444324, -639800, -870778, -1137246?\n\"Answer: 2*x**3 - 17787*x**2 - x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5 - 9)*2\/(-4). Suppose 0 = -5*g + 2*b + 71, 55 = 3*g - 2*b + k*b. Suppose 31 = u - g. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, y: 3, d: 1, e: 1, b: 1}. What is prob of sequence yyeg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 928123048 to the power of 1\/2, to the nearest integer?\nAnswer: 30465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4350536 a multiple of 1052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q - 3*q = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 AM and 3:38 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(-1)*65\/10*-2. Find the first derivative of 4*n - d*n**3 + 29*n**3 - 14*n**4 + 126 - 16*n**3 - 8*n**4 wrt n.\nAnswer: -88*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 4*g = 19, 2*g = -k + 1 + 2. Let y = -104\/5 - -21. Suppose -3*u = -3 - 9. Which is the third biggest value? (a) k (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -86*t + 44*t + 500*t**2 + 387*t**2 + 42*t to b*t**2 + n + p*t and give b.\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, -2.5, -3\/8, 0.3, 3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 0 + -9 - -2 - -449?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -33550*s - 134184. What is v(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 15 + -40 - -68?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**2 - 30*n - 215. Let b be u(-14). Solve 0 = a + g - 2, 6*a + 12 = b*a + g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5514, 11055, 16616, 22197, 27798, 33419?\nAnswer: 39060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 2249 times 3.879\nAnswer: 8723.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 817 - 720. Suppose 0 = 3*q - 3*a, 0 = -6*a + 3*a + 12. Suppose -p - q = -18. Calculate the remainder when i is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of -a**4\/12 - 12*a**2. Let y(t) = -105*t + 25. Let k(n) = -13*n + 3. Let l(m) = 25*k(m) - 3*y(m). What is l(r(d))?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2427 minus 6090.05?\nAnswer: -6090.2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of 1\/80*y**5 + 0*y**3 + 0 + 9*y**2 + 0*y + 1\/96*y**6 - 1\/48*y**4. Factor w(t).\nAnswer: t*(t + 1)*(5*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (588*r**3 - 551*r**3 + 0*r + 5*r)*(8*r + 7*r - 4*r - 2*r + 3*r + 0*r + (3*r - 4*r + 3*r)*(0 - 1 + 0)) as j + s*r**3 + h*r**4 + d*r**2 + q*r and give h.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3948752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10.04 + -0.04. Let x = -10.5 + d. Let u = -3\/88 - -197\/616. Which is the second smallest value? (a) -6 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0\/(3*(-2)\/(-6)). Suppose u = a + 2, -3*u + 0*a = 3*a - 6. Put u, -5, w in decreasing order.\nAnswer: u, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the third derivative of 0*i - 3*i**2 - 1\/70*i**7 + 0 + 0*i**4 + 1\/6*i**3 + 0*i**5 + 0*i**6. Differentiate p(b) with respect to b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -45 - -65. Let b = 20.1 - y. What is the nearest to 1 in 4, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/58 and -1\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -40066 + -8?\nAnswer: -40074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 145774 + -872641\/6. Suppose -4*g - 157 = -2*f + 1181, 0 = 2*g + 5*f + 699. Let q = d + g. What is the common denominator of 87\/14 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 260192 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/12 and -63\/2330.\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*r**3 - r**3 + 2*r**3 + 2*r + 3*r**2.\nAnswer: r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/6 and -15\/143?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -5*a**2 + 424*a + 6973. Determine o(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 393\/4358 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (2*sqrt(209))\/sqrt(11) + -2.\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2354944 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 + 4*m + 44. Let y = 39 + -39. What is the smallest common multiple of 44 and p(y)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -4*m**2. Let k(n) = -n**2 - 3*n + 9. Let p(r) = -3*r**2 - 8*r + 27. Let c(q) = -8*k(q) + 3*p(q). Determine c(j(d)).\nAnswer: -16*d**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -168, -2, 5 in descending order.\nAnswer: 5, -1, -2, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*v = -8*v + 59*v - 5*v - 5720 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1*-1 - (-47 + 48))*1. What is the nearest to 2 in -88, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1794 and 29496?\nAnswer: 8819304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 - 67. Let k be 1 - (1*o - -2). Suppose -93 = -u - 2*m, -5*m + k - 286 = -3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of g**7\/840 + g**6\/120 - g**5\/20 - g**4\/6 + 9*g**3 + 2*g + 4. Let a(t) be the second derivative of p(t). Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -19 in 4\/7, 4\/9545, 4?\nAnswer: 4\/9545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b**4\/5 + 81*b**3\/5 + 39*b**2 - 621*b\/5 + 348\/5 = 0. Calculate b.\nAnswer: -4, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**0)**5)**(3\/14))**(-32) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + -1 + 0 + -1. Let b = w - -10. Solve -5*c = -f + 2, b = -3*f + c - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 186*z**2 + 647*z**2 - 792*z**2.\nAnswer: 41*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 31*z - 29*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (74 - 242 - -28) + 4 + 12 + (4 - 6)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -538*u - 614*u + 328*u to o*u + s and give o.\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6465181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 27 - 9 = -4*n, 10 = -5*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -14, -2, -367704.\nAnswer: -367704, -14, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.096 - 0.004. What is the second smallest value in q, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + 4 + -5 + 3 - 12. Is y - ((-23107 - -6) + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1655*(19 + -18) + -14 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -7*n**3 + 3*n**2 + 5*n + 2. Let b(d) be the first derivative of -d**4 + 2*d**3\/3 + 3*d**2\/2 + d + 149. Determine -5*b(j) + 3*h(j).\nAnswer: -j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -55299745011 from -112.4.\nAnswer: 55299744898.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 4*c**2 - 139*c + 1166. Let u be h(12). What is the third smallest value in -0.04, -1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/3)\/(12\/(-18))*(580\/(-29))\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -2) + -11 + -2 + 1906 + -1889?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.0340099 months to years.\nAnswer: 0.169500825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 3*y + 4*c = 20, 3*y + 5*c - 25 = 0. Solve y = -f - 2*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 - -7*(-4 - -3). Let w = -3 - u. Which is the second biggest value? (a) w (b) 0.2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 7*v**2 + 3*v + 5. Let o be 5 - 1 - 3 - (-4 + -1). Let z(c) = 8*c**2 + 3*c + 6. What is o*m(k) - 5*z(k)?\nAnswer: 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 188, 393, 586, 761, 912, 1033, 1118?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 11 - 11 - 2048\/(-2). Let t be r\/10 + (-16)\/40. Suppose l - 26 = -q, 3*q + 0*q - 3*l = t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 76 or 9\/14?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 12, 0, 2 in descending order.\nAnswer: 12, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + -13.35. Let i = 0.05 + q. Let w = 1.7 - i. What is the closest to w in -1, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 489 * 0.009.\nAnswer: 4.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(175) - sqrt(175)*-3))\/sqrt(5))\/(sqrt(2940)\/sqrt(12)*-3).\nAnswer: 16*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q - 2. Let d be z(5). Suppose 37 = d*j + 7. Suppose 0*r - j = -r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 0.02551236.\nAnswer: 4.02551236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-3)\/g)**(-9) assuming g is positive.\nAnswer: g**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -352015533*b**2 + 3736*b**3 + 352015533*b**2.\nAnswer: 3736*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*h**3*y - 7*h**3 + 2*h**2*y + 8853*h**2 + 71*h + 276945*y wrt h.\nAnswer: -54*h*y - 42*h + 4*y + 17706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1727 and 83435?\nAnswer: 13099295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*u - 3, -4*u - 32 = -5*l. Suppose 5*z = l*x - 3*x - 4, -4*z = 0. Suppose p + 2*p + 2*q - 33 = 0, 39 = 3*p + x*q. Solve -7*h = -p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/5*3720\/558\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*p - 387909 - 192001. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4363*c - 3*m = -4360*c + 48, -14 = c + 3*m for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 224229 + -224228.250216. Let n = 450.25 + -451. Let w = n + g. What is w rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of 11*m**2\/2 - 9*m - 75. Let w(y) = 9*y - 8. Let o(l) = 4*f(l) - 5*w(l). Calculate o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - s - 5 = 0, 2*s = 9392*o - 9387*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -731890 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(0 + 4\/(-8)). Let z be (g - 325)*2\/(-6). Let b = 76 - z. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8530 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, -3, -324, 58.\nAnswer: -324, -3, -3\/2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -39 - -13.8.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 44 + -56 - (-7 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 174?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 37*u**2 - 996*u + 1003*u - 10 + 7 + 3. Let n(y) = 36*y**2 + 6*y. Determine 7*n(s) - 6*z(s).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 31, 6423, 1 in ascending order.\nAnswer: 1, 23, 31, 6423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (44 - 910\/21)\/(2\/9). Solve -g = m*u + 13, -u + 9 = -3*g + 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 70 + -67. Put p, -3, 9, 2 in decreasing order.\nAnswer: 9, p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 PM and 4:35 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 213?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 17 - 12184170?\nAnswer: -12184152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (4\/20)\/(1\/1165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 4*u - 109272, 21*s - 16*s + 2*u - 136597 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = s + 112. Suppose -18*g + 197 = -91. Calculate the highest common divisor of s and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 732 = 5*j - l, l - 107 - 183 = -2*j. Suppose 2*d - j = 742. Suppose c = 5*c - d. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 14 = -4*q. Let i be (-4)\/((-24)\/(-3))*-4 - 2. Suppose i = -3*a + q*a - 144. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 + ((-24)\/16 - 6\/(-4)). Let i(l) = u + 12 - 9 - l. What is i(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 divided by -455?\nAnswer: -9\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -362 - -397. Calculate the greatest common factor of 55 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 2*t + 6. Suppose w = -4*l + 3*l, 8 = -4*l. Let g be (6\/9 + -1)\/(7\/21). Let k be (20\/5 + w)\/(-2 - g). Determine f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -113.8 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 237 (base 9) to base 11.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8932 - -8936. Suppose d = -q + 1, -3*d - 10 = -q - 25. Put q, 5, j, -4 in decreasing order.\nAnswer: 5, j, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 191218693 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7042?\nAnswer: 2, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*m - 7 + 7)*(0*m**3 - 3*m**3 + 4*m**3) - 3*m**4 - 2668*m**2 - 94*m**3 + 2668*m**2 to the form r*m**2 + h + a*m + g*m**4 + u*m**3 and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -4*x + 4. Let y be c(-4). Let a be 15 + 0 + 2 - (-2 - -7). Suppose -1912 = -a*d - 232. What is the highest common divisor of y and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 265, 409, 611, 871?\n\"Answer: 29*a**2 + 57*a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ettcwqtqecqq. What is prob of picking 1 c and 3 q?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 11388361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 22 = 5*y - 9, -4*y + 2*j + 20 = 0. Let s be (-4)\/(3 - 11) + (-5)\/2. Let r = y + s. Which is smaller: 2\/15 or r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -15686 (base 9) to base 13\nAnswer: -4b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the first derivative of -p**4\/28 - 5*p**3\/21 - 4*p**2\/7 - 4*p\/7 - 6. Factor d(f).\nAnswer: -(f + 1)*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -39 - -22. Let h = -18 - p. Let s = 3 - 5. Which is the third smallest value? (a) s (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13003 + 638 - 11107 + 72*n**3.\nAnswer: 72*n**3 - 23472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1306 + 25*i + 14*i**4 - 13*i**4 + 8*i**4 + 7*i**4 wrt i?\nAnswer: 64*i**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/4 and -149\/22561164.\nAnswer: 22561164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 35 - 49. Let t = 0.83 + -1.83. What is the third smallest value in -0.1, t, 5, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -79 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 3*l = 20, 0 = -4*f - 4*l + 504. Suppose -5*v - 5*c + 308 = -c, 2*v = c + f. Let n = v - 36. Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11726322 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1674326 or 1674331?\nAnswer: 1674326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5126 - 3675. Are h and 1451 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(140)\/sqrt(7))\/sqrt(10)*-6 + 5.\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + 2*f - 0*f - 6, 4*f + 4 = 2*j. Put j, 2, -1 in ascending order.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i - 38. Let a(v) = -v - 18. Let l(p) = -13*a(p) + 6*n(p). What is l(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) + (sqrt(275) - (sqrt(275) + -1 + sqrt(275)))*-2)**2 + 1*(sqrt(539)*3)**2.\nAnswer: -60*sqrt(11) + 7330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 - 6*d + 35. Calculate s(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7120422 years in months?\nAnswer: 8.5445064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -6c (base 16) to base 3\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 184917206.\nAnswer: 2, 7207, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/3 - 5*p + 14\/3.\nAnswer: (p - 14)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + -2. Let k be 2\/(((-68)\/(-17))\/4). Let f be k\/(88\/(-68) + 2 + p). Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/(-420)*-530*-1 - 4\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 4)*(0 + 3*n + 0).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1756483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/21 in -17.5, -1\/5, -2.13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the first derivative of a**4\/2 + 2438*a**3 + 3345240*a**2 + 6683168*a - 4982. Solve t(g) = 0.\nAnswer: -1828, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4707058.2 to the nearest ten thousand.\nAnswer: -4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 55 - 55.3. What is the closest to 0.1 in p, -0.12, -2\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-6)\/2 - 7\/(-1). Suppose -2*r = 4 + 4, -z*a - 4 = -r. Suppose 5*v + 5*s - 44 = -14, 22 = 2*v + 4*s. Put a, -1, -4, v in decreasing order.\nAnswer: v, -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 165296 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32715.\nAnswer: 3, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 31844510 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1053 + 1042?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*s**3 + 14*s**3 + 0*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 1311 * 44.2.\nAnswer: 57946.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 21168 and 928368?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-84)\/(-8))\/(-7) - -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 469578 (base 12) in base 2?\nAnswer: 100010101010111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 2*a**4 - 26*a**3 + 104*a**2 - 120*a = 0.\nAnswer: 0, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4629424977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 101 a factor of 79565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -58191 divided by 1?\nAnswer: -58191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-260)\/(-108) + 44\/(-594).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*j + 0*j + 4*j + 12*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1047276.\nAnswer: 2, 3, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 12445 (base 7) to base 12.\nAnswer: 1b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 4*x = 22, x - 4 = 4*w - 0*w. Let g be (12\/(-15))\/(w\/10). Suppose g*u = 4, j = 3*u - 6*u + 46. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14732617\/19 = 775400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 64674 divided by -18?\nAnswer: -3593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -552 (base 9) in base 5?\nAnswer: -3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 600 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 52*r**2 - 238*r + 310. What is the tens digit of i(59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l**(2\/17))*l**(-4)\/l*(l*l**(-2\/7))**(-18\/11))\/((l**(3\/4)\/(l*l**(-3\/4)))\/(l**(4\/5)\/l**(-4\/9))) assuming l is positive.\nAnswer: l**(-652907\/117810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -33 - 193. Let b = -92 - l. Suppose j - b = -5*u - 2*j, u = 4*j + 13. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -878794 divided by 574?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1715 divided by -35\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) 0.4 (c) -3 (d) 2\/3 (e) -0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 83.93476km to meters.\nAnswer: 83934.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/8 (b) -4 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 0 - 1)*(48*l**3 - 27*l**3 + 1031 + 2*l**2 - 20*l**3) to t*l + q*l**3 + c*l**2 + y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1194 - -2.\nAnswer: 1.8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 2*j - 6. Let n be u(-3). Let a be (8\/(-10))\/(2\/(-35)). Let k be (-1)\/(-3) - a\/(-3). What is the highest common factor of n and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5 and 32140?\nAnswer: 32140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccv when three letters picked without replacement from cvcccvcvvv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 + -134133104?\nAnswer: -134133040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.87 - -0.13. Which is the nearest to y? (a) 2 (b) 1\/3 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c**4 - 13*c**3 - 19*c**2 + 73*c - 42 = 0.\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/8 - 22\/(-4). Suppose -3*y + 4*y - 2 = 0, 2*y = j*m - 16. Let p(h) = -2*h - 4 + 0*h**3 + h**3 + h - 4*h**2. What is p(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the second derivative of 3*n**3 - 1\/2*n**2 + 113*n + 0. Give l(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 324 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m**26\/m)\/m*m)\/(m**(3\/8)*m*m))**(21\/2) assuming m is positive.\nAnswer: m**(3969\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-104)\/(-234)*(18\/20)\/(18\/30). What is t in 2\/3*t - q*t**2 + 4\/3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2587, 5, 4, -3, -103 in ascending order.\nAnswer: -2587, -103, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 + -1 - (-33 - -1) - (-96 - (50 - 142))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*r - 576 = 13*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/21 + 4694\/14. Suppose 4*y - d = -55. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 24811 by 1.\nAnswer: 24811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + w + 2*w = -2, 3*w = -2*d + 8. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, -0.3, 14\/45, -2\/17 in ascending order.\nAnswer: -0.3, -2\/17, 14\/45, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 7*b**2 - 307*b - 11. Give z(-14).\nAnswer: 5659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 4*a - 715, -3*a + 2860 = 4*u - 8*a. Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 36 = -5*p + 52, -5*v = -4*p + 7. Calculate the greatest common divisor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/89)*d\/(d**(-1)\/d))\/(d**(-4\/3))**17 assuming d is positive.\nAnswer: d**(6847\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002029 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -7912, 426, 14 in ascending order.\nAnswer: -7912, 14, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 0 + 0 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-3*sqrt(2) + -2 + 0)**2.\nAnswer: -60*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -206433464 or -206433465?\nAnswer: -206433465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/8, -6\/11, -0.1, 1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 448.9 * -38543\nAnswer: -17301952.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 11. Let i = 492 + -456. What is the highest common factor of l and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (10 - 3) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 PM and 2:00 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37, -165, -353, -625, -1005?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/6480 and 37\/22.\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 335 a factor of 6507671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1437322 + 1437322 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*h + 2*h**3 + 0*h)*(-1742 - 1873 + 2881) to t*h + s*h**3 + x + d*h**2 and give s.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 80*g*i**3*q - g*i**2*q + 4*g*i - 80*g*q + 24498*i**3 wrt q.\nAnswer: 80*g*i**3 - g*i**2 - 80*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-48)\/168 - 3327\/(-7)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 - -40. Calculate the remainder when (-4)\/9 + (-1)\/2 + 15057\/162 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-858)\/55)\/(760\/608*9*(-6)\/(-45))?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 84728, 83834, 82344, 80258, 77576?\n\"Answer: -298*z**2 + 85026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34 + 0 + (24 - 12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**2 + 7*u + 5. Let n be f(-6). Let a = 6.9 + -6.876. Let y = a + -0.224. What is the closest to y in 4, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148842.\nAnswer: 2, 3, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*f**2 - 87*f - 17*f**2 + 85*f to d*f**2 + q + k*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -25 * -6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9840 + -6972. Let n be (-8)\/6 - p\/36. Is n <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -14392.9 to the nearest one hundred.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10.99 - 11. Let o = d + 4.01. Let w = 0.09 + -0.29. What is the biggest value in w, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the third derivative of -t**6\/120 + t**5\/60 + t**3\/6 - 4*t**2. Let u = 52 - 68. Let g = -15 - u. What is d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of h**6\/120 + h**5\/5 + 13*h**4\/24 + 19*h**3\/6 - 2*h**2. What are the prime factors of w(-9)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 31*l**2 + 60*l + 1. Determine w(29).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/17, -0.03, 0.45, -0.5, 1\/5, -1\/3?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1493303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 54902 = 3487*t - 157805 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzig when four letters picked without replacement from {i: 4, z: 4, g: 8}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 22*t**2 + 18*t + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 216226, 864905, 1946038, 3459619, 5405642?\n\"Answer: -c**3 + 216233*c**2 - 13*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4 - -4 - 2*1. Let r be a\/(12\/(-21))*2. Let d = 11 + -9. Solve -d*v = -r*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 5*t = 2*t - 5, 3*j - 5*t - 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2993 or -93?\nAnswer: -2993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2155 - -2?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 0*x + 1100 = 0. Suppose 0 = -0*v - 4*v + x. Let m = v - 35. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1348226 divided by -2?\nAnswer: 674113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -20 - 3 - 2 + 2*r**2 + 13 + 0 - 23*r. Let n(l) = -l**2. Calculate b(n(x)).\nAnswer: 2*x**4 + 23*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of 251*k**5\/20 - k**4\/6 + k**3\/2 - k**2\/2 - 7*k - 9. Let d(p) be the first derivative of q(p). Is d(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -209*f = 103889404 - 103898600 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 13622173 a multiple of 2030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 6 - 0. Suppose u*f + 4 = -o, -f - 3*f = -4*o + 20. Let n = o + 4. Calculate the highest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 12 = w, 3*w + 2*t - 36 = -0*w. Suppose -v + 13 = 5. Let d be (16\/w)\/(v\/132). Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + 12. Let k be 8 + (1 - v\/4). Calculate the greatest common factor of k and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 6*k - 64. Let y be 1\/2 - 8\/k - 0. Suppose -5*f - 4*l + 149 = 0, 61 = 2*f + 3*l - y*l. What is the remainder when 56 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = 4*m - 3*f, 0*f = -2*m - f - 1. Suppose -5*u + 4*d - 7 = d, -5*u + d - 9 = 0. Let p = m + u. Is p at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 247\/(-585) - 3\/(54\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - -6. Calculate the least common multiple of u and 14\/3*(-9)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 4:42 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - 124?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be -8*2\/(2 + 2) - 0. Let p be 4 + 2*-2*n\/16. Suppose 3*x = 8*x - 20. Solve j - f + 5 = 0, 0*j + x*j = -p*f + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99082040 to the nearest integer?\nAnswer: 9954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 5*d**2*f*u**2 - 18028*d**2*u**2 + 9*d**2 - 2*d*f + 12*d + 21 wrt u.\nAnswer: 10*d**2*f*u - 36056*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + 2. Suppose 95 = 5*o - 4*m, -2*o = -w*o - 3*m. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*(-1)\/6*2. Solve w*x + 6 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -984 = 11*r + 985. Let m = -151 - r. What is the lowest common multiple of m and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164732 is divided by 505.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10 or -293853?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1112 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98256 is divided by 97934?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-116 + 116 - 10*d**2)*((3 + d - 3)*(-2*d**2 + 0*d**2 + 3*d**2) - 4*d**3 - d**3 + 6*d**3 - 2*d**3 + 0*d**3 + d**3).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -486 (base 10) to base 12\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 598260, 598692, 599126, 599562, 600000?\n\"Answer: t**2 + 429*t + 597830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 58679.371476 + 0.0711\nAnswer: 58679.442576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 - -559. List the prime factors of d.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 822\/(-20139) + 690\/98. Solve 2*a - c - 10 = -p, -4*a - 4 = -4*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1864958, 3729917, 5594876, 7459835, 9324794?\nAnswer: 11189753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*t - 2*p - 12, 0 = 3*t - 3*p - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 5*u + 39. Let c(r) = -2*r + 1. Let t(p) = -c(p) - m(p). Let g(h) = 2*h**2. Calculate g(t(z)).\nAnswer: 18*z**2 + 480*z + 3200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -14. Let x be ((-4)\/h)\/((-1)\/20). Suppose -13 = u - 4*o, -2*o + x = 2*u - 16. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 671\/1594 + 63\/797. Let m = 3 - 1. Let h = m + 0. Which is the closest to 5? (a) v (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 570 = -2*x. Let s = x - 60. What is the remainder when s is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z and 1 m when four letters picked without replacement from mzzzzmmkkmkzmkz.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -4226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 93 and 16961402?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d - 2*d - d**2)*(-22*d + 20*d + 39*d).\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/60)\/(((-4)\/(-18))\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -67665?\nAnswer: 67665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1625346076 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30881696?\nAnswer: 2, 97, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-91)\/1092)\/((-1)\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 108304913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 - a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 416*d**2 + 11*d - 31. What is the hundreds digit of p(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((d\/d**1)\/d)**36)**(-35))**(-44))**(3\/35) assuming d is positive.\nAnswer: d**(-4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 154187042 and 71434?\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 22 = -0. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in -3\/1859, 3, 9, 44?\nAnswer: -3\/1859","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-11152)\/(-102))\/((-1)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 16*h - 104. Suppose 89*u = 85*u + h. Solve u*k - 30 = 7*k - 2*q, -4*k - 31 = -3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.03 in -2, -0.3, 0.1025?\nAnswer: 0.1025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -419*u + 429*u = 7410. Let m = 153 + u. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 30*(-1 - (-16)\/3). Factor 2*d**2 + 2*d + u - 6*d - d - 127.\nAnswer: (d - 1)*(2*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 46 = -f. Let u(b) = -5*b - 147. Let t be u(-30). Suppose 7*z - 25 = 10. Solve -t + f = -z*q + 5*l, q - 5*l = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 + 12 = -5*r - 2*f, 26 = 2*r - 4*f. Find the second derivative of -1 - 5 + 6 - 14*j + 18*j**r wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 7*b - 7. Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + (-2 + 2 - -5) + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7506080 is divided by 62?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57169293?\nAnswer: 3, 41, 73, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -1. Let f be 12\/9*-1 - -1. What is the nearest to f in 2\/3, 1, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*i**5 + 4*i**5 - i**5 + (0*i + 2*i - 4*i)*(-69*i**3 + 104*i**4 + 69*i**3))*(-2 + 4 - 1).\nAnswer: -209*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 23 + 29. Let d(a) = 3*a. Let t be d(1). Suppose -10 = -t*v + v. What is the remainder when k is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 658, -2, 1, 5, -5 in decreasing order.\nAnswer: 658, 5, 1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8509, 8551, 8591, 8629, 8665, 8699?\nAnswer: 8731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-51102)\/(-2505)*(-30)\/18.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 74\/8 - 6\/(-8). Let r = t - 7. Suppose 0 = -4*b - a + 14, -r*a - 2*a = -b - 7. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/14 + (-10 - (-222)\/21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(91)*2*-5)\/(6*sqrt(7)*1 - sqrt(7))*-3.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 74196.68um in kilometers?\nAnswer: 0.00007419668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.361 + 2.0452?\nAnswer: 1.6842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -559*h + 259849. Calculate p(465).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 1242*w + 884. List the prime factors of l(22).\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g - 6. Let d be z(9). Suppose -2*t - 13 = 3*r, -14 = r + 3*r + t. Let b = -3 + 12. Sort b, d, r in decreasing order.\nAnswer: b, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13821.\nAnswer: 3, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 141*h - 8 - 142*h - 1. Let j(y) = 2*y + 15. Let l(k) = -3*j(k) - 5*v(k). Let i(z) = 25*z. Let q(b) = 4*b. Let f be q(5). What is f*l(n) + i(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**11\/o**(-1\/4)*(o**(-1\/3))**(-7\/5))**21 assuming o is positive.\nAnswer: o**(4921\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2390 (base 11) in base 13?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, r: 2}. Give prob of sequence rrj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -5, -90888996?\nAnswer: -90888996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0328 + -2731374922.\nAnswer: -2731374921.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -13*o**2 + 92*o + 184. Give k(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -3*q**3\/4 - 81*q**2\/4 - 33*q + 1089 = 0.\nAnswer: -22, -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - 5.8. Let t = 9 - 25\/3. Which is the closest to -1? (a) -4 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 5147441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 10928507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 169135*y**3 + 13947*y**3 + 102167*y**2 - 102167*y**2.\nAnswer: 183082*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/21)\/(6\/(-21))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -61 - -60. Let n = -3 - -2.6. What is the third smallest value in 4, k, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3021 + 10?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 507396347.\nAnswer: 83, 6113209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 285825 + -285824.9999847129. Round a to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.49967 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from erbbeeireb. What is prob of sequence iere?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0\/2 - -1)*1. Let z be 4\/6*(-18 + 12). Let b be c + -1*(2 + z). Solve b*j = 5*j - 2*i, -i = j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0122395418 rounded to 6 dps?\nAnswer: -0.01224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + -1. Let j(h) = h. Let u(b) = 8*b + 1. Let g(k) = 3*j(k) - u(k). Let p be g(w). Solve -5*f - p = -i, 0 = -2*f - 2*i + 1 + 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18 - -2. Let s = 19.7 - z. What is the closest to -0.2 in s, 0, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*m + 2*m + m + 40. Solve -4*n + 3*d = -m, n + 10*d + 14 = 7*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -310.59581 + 0.065.\nAnswer: -310.53081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s + 7*s = 5*n - 126, 2*s - 102 = -4*n. Which is bigger: 34 or n?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x*x**7\/x)**(12\/17)\/(x\/(x\/(x**(-1\/3)*x)))**(-4\/13) assuming x is positive.\nAnswer: x**(4348\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 0 + 1)*(-3 + 3 + 1)*(0*u + 0*u - u - 7 + 7 + u - 4*u + 3*u - u + (-2 - u + 2)*(3 + 3 - 4) + u + 3*u - 2*u + 5*u - 2*u - 2*u + 2 - 2 - 2*u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by -70?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of -2*a**7\/21 + 5*a**3\/3 + 6*a. Find the second derivative of c(s) wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -40 less than -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 336 = -6*p + 10*p. Let a = p - -22. What is the remainder when a is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*u = 3*s - 38, s - 2*u + 6*u = 1 - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 94094, 94096, 94100, 94106, 94114, 94124?\n\"Answer: d**2 - d + 94094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10 - 5 - 1*(9 + -4). Let d(m) = -3*m + 3. Calculate d(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 10 = -0*g. Let n = g + 14. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, -2\/5, 1\/5, -1, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 15 in 7, -5, 3, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/3 in 2\/9, 5, -5, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2)\/(-2))\/(8*(-9)\/(-72)). Solve b - g = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (19 - 39)\/(22\/26 + -1)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vpvupspupvspupp. Give prob of picking 2 p and 2 u.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25 + -23. Is ((-67)\/n)\/((-3)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 227*f - 228*f + 3 = 0. Let v(n) be the first derivative of 3\/5*n**2 + 1\/5*n**f + 3\/5*n - 2. Find t such that v(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/5 + 184758*z**2\/5 + 4270909344*z\/5 + 183307643264\/5.\nAnswer: 2*(z + 43)*(z + 46168)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9.4 - 9.4. Let h be ((-820)\/(-6) - 0)*1. Let u = 138 - h. What is the biggest value in u, -7, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -30319000 to the nearest 100000.\nAnswer: -30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 958675, 5 in ascending order.\nAnswer: -3, 5, 958675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -873 divided by 3\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 355.7932l to millilitres.\nAnswer: 355793.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5058.143617 from 5.\nAnswer: -5053.143617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 628842.78 to the nearest one thousand.\nAnswer: 629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of 2*c**5\/5 - 49*c**4\/2 - 424*c**3\/3 + 2076. Suppose t(m) = 0. What is m?\nAnswer: -4, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 66632 by 4.\nAnswer: 16658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 - (35\/(-2))\/7. Which is the second smallest value? (a) r (b) 0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f + 2 - 11. Suppose f*y = 2*g - 3*g - 4009, g + 2*y + 4006 = 0. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 106219?\nAnswer: -3\/106219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-14)*l)\/(l*l**(-1\/9)*l*l))\/((l*l\/l**(1\/2))\/l**(32\/9)))**(-16\/9) assuming l is positive.\nAnswer: l**(664\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 68, 1, -1332, 3, 2.\nAnswer: -1332, -5, 1, 2, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/8 and -169\/4920?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**3 - 31*j**2 + 84*j + 37. Give z(10).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -361630 - -360861.329. Let y = z + 769. Round y to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 1029\nAnswer: 308.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -3*w**2 - 42*w + 93. Calculate z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14521091 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 8*b**3 + 5*b**2 + 2*b - 1. Let a be z(-3). Let c = a - -1248\/7. Suppose 3*g = 2 + 1. Are c and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -3*d**2 + 759*d - 218. Calculate q(254).\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -233*h - 1495189 = -304*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9*2\/27*3\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.685694 less than 12.9?\nAnswer: 11.214306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -43) + -206 + (-146 - -267)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3361994 to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-12)*(-104)\/(-169)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4291 - 2184. What are the prime factors of k?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -212118*j - 717*j**2 + 212118*j.\nAnswer: -717*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1.418 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 485 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*b**3 - 3*b**3 + 13*b**3 + (3 + 2*b**2 - 3)*(2*b + 1 - 1).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -3*v. Let f(z) = 3*z - 1. Let q(s) = 4*f(s) + 3*p(s). Let m be q(3). Suppose 4*l = 0, -h + m*l + 6 - 2 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) 2836 (b) 5 (c) -111 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h**2 - 2*h - 2. Let r(q) = -q**2 - 3*q - 3. Determine 6*j(b) - 4*r(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1834 + 1816.87. Let u = g - -16.1. Round u to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4 + -0.1. Let u = r + -0.5. Let d = -249 + 248. What is the closest to d in -1, u, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5533a2a - 1?\nAnswer: 5533a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9\/6*4\/(-30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 110 - 397 = -j, 4*n = -3*j + 513. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -5.0126, 4\/7, 2, -1\/4, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**5*n*n)\/n)**(-1) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 6*r**2 - 6*r. Let v be d(-5). Suppose -v*a + 39 = -81. Let i = a + -14. Solve 4*p + p = -i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 746 divided by -2\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -17. Suppose n = -3 + u. Suppose 3*i = n*i - 28. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 27*p. Let t(a) = 2*a - 256. What is f(t(i))?\nAnswer: 54*i - 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 35\/312 and -25\/67940288?\nAnswer: 203820864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 255\/170 - (-1)\/2. Suppose -4*m - 5*x + p = 0, 4*x - 9 = -2*m - 11. Solve 0 = -s - 2*s - 3*y - m, 0 = 3*s - 2*y + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -673, -2448, -5329, -9316, -14409, -20608?\nAnswer: -27913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.005296105187 to five decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(660)\/(sqrt(24)\/sqrt(2)) + sqrt(55))\/(sqrt(11) - (sqrt(55)*2)\/sqrt(5)) + (3 + sqrt(180) - (-1 + -3 + sqrt(5))**2).\nAnswer: -18 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 912 and 132?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6900507.\nAnswer: 3, 31, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/10, 9, -327, -0.1 in decreasing order.\nAnswer: 9, 1\/10, -0.1, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 - 6 = -5*o - f, 5*o - 7*f + 20 = -2*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49 = -0*d - 2*d - y, 0 = 4*y + 4. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 98*v - 706 + 5704 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4616 - 4614. Let b(z) = -z**3 + 10*z**2 - 7*z - 13. Suppose -2*o + 5*y - 9 = -2, 0 = 2*o - y - 13. Let r be b(o). Solve r = -m*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 484398 * 0.1.\nAnswer: 48439.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-629 + 205 - 141 - 394)*(5*w - 6 + 6) to the form f + h*w and give h.\nAnswer: -4795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 3682 = 5012. Calculate the lowest common multiple of z and 14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 29 (b) 0.03 (c) 0 (d) -5 (e) 5.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1829 (base 10) to base 11.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 839*m**2 + 3*m - 4. Let n = 62 + -61. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 3*k - 1152. List the prime factors of k.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gglggggg. What is prob of sequence lg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -87 - -33. Let f = i - -608. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of -1\/2*i**2 - 10 + 0*i. Let g(x) = -8*x + 3. Let o(u) = -15*u + 5. Let d(f) = -5*g(f) + 3*o(f). Determine j(d(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iviiyiiiiiiiinu.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 2*t**3 + t + 5095. Let j(x) = -x**2 + 6*x - 8. Let n be j(4). Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*w - v - 2 = -6, -19*w - 2*v = -8 - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 + 4*c**2 - 2*c - 1. Let j be z(2). Let v be (-26 + 25)\/((-2)\/24142)*(1 + 0). Suppose j*g - 9053 = 2*r, -3*g + 3*r = g - v. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 8 - 12. Let g(i) = i**3 - 5*i**2 + 5*i - 4. Let v be g(b). Suppose -16 + v = -4*q. Are 5 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of -3*r**2\/2 + 8*r + 3. Calculate the remainder when 141 is divided by f(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 45 + -49.4. Let u = m + -0.6. Which is the fourth biggest value? (a) u (b) 1\/2 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 66\/(-8)*((-640)\/(-30))\/(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m - 1. Let q(v) = v - 11. Let d(a) = -12 + 2 - 1 + 6. Let k(x) = 5*d(x) - 2*q(x). What is 2*f(u) - k(u)?\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -5. Let f = -9 + 33. Suppose f = c*i - 0*i. Which is smaller: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -30*q**5 - 904*q**2?\nAnswer: -1800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 31 - 12 - 4*u - 16 - u + 6*u**2. Give a(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 34*q**2\/15 - 32*q\/15 - 2\/15 = 0.\nAnswer: -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 8 = -5*u - 0*i, -u - 4 = 3*i. Let b(l) = l**2 + 3*l - 3. Let d be b(-4). List the prime factors of 12 - d*6\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, w: 7, u: 11}. What is prob of picking 1 w and 1 u?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 8 = l + 1, 4*z = -2*l - 18. Let f = -28\/3 - l. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239936 is divided by 774?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 13\/12 of a hour?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -7+-458809\nAnswer: -458816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 63 = -12*t. Let x = 119 - t. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 108637*x**3 - 54310*x**3 - 54288*x**3 + 3 - 6.\nAnswer: 39*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 20 + 11 + 10 - 67 + 11 - 8*u. Let w(q) = -4*q**2. Give w(r(f)).\nAnswer: -256*f**2 - 960*f - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1659*i**2*k - 3*i**2 - 3*i*k + 3386*k wrt i?\nAnswer: -3318*i*k - 6*i - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (9 + (2 - 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 82783 = -5*w, -w = -0*w + 5*s - 16545. Let d(y) = 4*y**3 + 25*y**2 + 5*y + 95. Let n be d(-30). Let t = n + w. Round t to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -84*y + 170*y - 363*y**3 - 54*y**3 - y**2 - 84*y - 2 in the form x*y + s + r*y**2 + c*y**3 and give c.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-10)\/40 + ((-54)\/8)\/(-3). Suppose -2*i = 2*y - 369 + 21, 5*y = q*i + 870. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-9)*(-4 + 91\/7). Suppose -f*w = 2*k - 198, 7*k - 202 = -2*w + 9*k. Let d = 105 - w. Sort -3, -4, d.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 60 + 12 = 0. Suppose m = -5*h - 18, m + 3*m + b = -5*h. Suppose 2*n + m*z - 42 = -2*n, z = -4*n + 39. Solve 3*d = -0*d + n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 2 (b) -2\/157 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 2*b - 1. Let l be m(3). Suppose 0 = -0*z + 4*z - 5*n - 265, l*n = -4*z + 295. Calculate the highest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 4, 0*o - 3*o = 5*t - 10. Suppose 3*c + 1 = -2*h, o = 2*c - 0*h + 5*h + 19. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*v - 2*v - 3*v)*(4 + 0 - 5) - 4 - 2*v + 4)*(0 - 3 + 1)*(1 - 1 + 13).\nAnswer: -78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 458 divided by 573?\nAnswer: 458\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2278 + 23?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3253*a**2 - 21477 + 21476 - 366*a**2.\nAnswer: -3619*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 52795 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-8) + 26\/(-4). Let n(u) = -8*u**3 + 4*u**2 + 3*u + 2. Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 2 - -1)\/((-4)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (2 + (-4 - 22)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: d8 (base 16) to base 5\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(1377) + sqrt(1377)*-3 + 5)**2 - (-1*sqrt(1377)*-5 + sqrt(1377) + sqrt(1377) + (sqrt(1377)*2 + sqrt(1377) - sqrt(1377))*6)**2.\nAnswer: -491585 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c**3 + 10*c**2 - 5*c - 3. Let m be s(-10). Let a = m + -20. What is the remainder when a is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -56385, -56603, -56821, -57039, -57257, -57475?\n\"Answer: -218*p - 56167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 58614687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 322\/3 - 109. Let b be 2\/(-6) - (-145)\/(-87). Let t = 4.3 + -1.3. Sort t, d, b, -2\/9.\nAnswer: b, d, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16)\/66*6\/(-8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {m: 9, w: 1, q: 5, r: 4, x: 1}.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*v**3\/9 + 43448*v**2\/3 + 842024*v + 3010432\/9 = 0 for v.\nAnswer: -12976, -58, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**3 - 9*q**2 - 12*q - 30. Let d be o(11). Let j = -75 + d. Suppose -2*x + j*w + 350 + 11 = 0, 3*w = x - 183. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5198 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/4 + (-15)\/(-10))*(-32)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.955 times 0.5?\nAnswer: -0.9775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 93108352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 10*s - 2*a - 36, 5*a - 434 - 471 = -4*s - 908 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 - 10\/3)\/(7\/3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 3*x**2 + 2*x + 1. Suppose 5 - 23 = -2*v. Suppose 0 = 3*l - 0*l + v. Calculate z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 22*b**3 + b**2 - b. Let c be p(1). Suppose c*m - 9874 = 28472. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-8)\/n)\/n**(2\/21))\/(n*n**10*n**(12\/7)) assuming n is positive.\nAnswer: n**(-458\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33435\/2193336*-4*(-3)\/(-15).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.47459 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 279402*-33\nAnswer: -9220266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-3 - (-5 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -42570 * -80\nAnswer: 3405600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 = -5*i + 122. What is the remainder when i is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 165, -5, -90, -1 in increasing order.\nAnswer: -90, -5, -1, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 46508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of 0*l**3 + 0*l**4 - 2*l**2 + 0*l + 1\/30*l**5 - 1\/10*l**6 + 0. What is the third derivative of q(v) wrt v?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 38 + -36. Suppose 3*i - 16 = 4*g, -4*i + 21 = -3*g - c*g. Sort 5, 0, i.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 37\/2 of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*k**3 + 5*k**3 - 41 + 41.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -194, 0, -171, -4, 4 in ascending order.\nAnswer: -194, -171, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - c**2 - 4 - c - c**2 + c - 2 + 2 - 2*c**2 + (-3*c - c + 2*c)*(-4 - 2*c + 4) + 1 - 1 + 2*c**2 + 0*c**2 - c**2 + 7*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*p = -10*p - 12. Suppose l = -2*z + 189, 87 = z + 2*l - p*l. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2385036.\nAnswer: 2, 3, 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, -5, -39, 54, 65 in decreasing order.\nAnswer: 65, 54, 3, 1, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q - 15. Let o be i(18). Let a(m) = m**3 - 1 - 2*m**2 - 2 - 3*m - o. What is the tens digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3324093643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n**3 - n**3 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the first derivative of 3\/7*l**7 + 0*l**5 + 1\/3*l**3 + 0*l**2 + 0*l + 0*l**4 + 0*l**6 - 2. Find the third derivative of y(f) wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + -8 + (36 - 32) + 0 + 7 + -74\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 90 = -80. Calculate the remainder when j*1 - (-55)\/11 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -67, -70, -69, -58, -31, 18?\n\"Answer: x**3 - 4*x**2 + 2*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the second derivative of -2627*u**6\/30 - 360*u**2 + 3873*u. Differentiate l(q) with respect to q.\nAnswer: -10508*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the second derivative of -7*k**4\/6 - 20*k. Let l(n) be the first derivative of -n**3\/3 - 2. What is l(u(j))?\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -47 + 39 + 4 + -6 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 5*a + 15 = -3, 5*j + 2*a + 23 = 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3377910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.04 - -0.04. Let p = 4.045 + -0.045. Which is the second biggest value? (a) f (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 2*v**2 - 19*v - 47. What is the lowest common multiple of z(13) and 14?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 11*l**2 - l. Let s(n) = n**2 - 10*n - 27. Let q be s(12). Let a be (-9)\/(-18)*(q - -1). Give x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 687?\nAnswer: 1\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -63*n. Let a(i) = -17*i**2. Determine u(a(x)).\nAnswer: 1071*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -31 in 1, -2, 2357?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 32, 94, 208, 392, 664, 1042, 1544?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 3193*q**3 - 5*q**2 + 5. Let y(r) = 3054104*r**3 - 4782*r**2 + 4782. Give 4782*h(k) - 5*y(k).\nAnswer: -1594*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 4*x + 47. Let c be q(-11). Solve 0 = -8*d + 3*d - c*z - 11, 4*d - 3*z - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 12:56 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 26437*k - 11. Let h be m(3). What is h rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78488793 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 6083*v**2 - 3023*v**2 - 3063*v**2 - 348 - 99*v.\nAnswer: -3*(v + 4)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 0.5, -1, -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1564 - 1554 + 1438*w**2 - 140*w**2 to the form l*w + j + p*w**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -17821\/36 + 495. What is the second biggest value in 3, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 852 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + 7e761?\nAnswer: 7e764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4122359954.\nAnswer: 2, 17, 193, 628217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 8\/13*c - 2\/13*c**4 + 0 + 10\/13*c**3 - 16\/13*c**2.\nAnswer: -2*c*(c - 2)**2*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 31*j**4 - 281*j**2*r + 2729*r + 6 with respect to j.\nAnswer: 124*j**3 - 562*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-6))\/(3\/(-36)). Suppose 0 = r*z - 9*z + 40. Let k = z + -5. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3284 - -3305. Solve 2*d - w = 4*w + x, -5*d - 5*w = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -8 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-24)\/(-8))\/(6\/(-16)). Let c = s - -13. Suppose 28 = 2*i - 2*r, i - c*r = -2*i + 40. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 349 + 73 = 211*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19 - 17. Suppose -5*t = f - 41, t = m*t + 2*f - 10. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of v**4 - 4326*v**5 - 1261*v**2 + 1408*v**2 + 964*v - 982*v wrt v.\nAnswer: -259560*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9438260 is divided by 356.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -74366, -74368, -74370?\n\"Answer: -2*l - 74364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 8:10 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 6 = 3*i, -3*t - 74 + 62 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 - 0.2. Let h = -3 + 3.01. Let g = h - 0.11. Which is the nearest to g? (a) -1\/5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20 + -17. Suppose -o - 6 = -14. Solve -w - 5*i = -8, -n = 3*w - 4*i - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.11? (a) 2\/15 (b) -28.4 (c) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -28017920 divided by -7\nAnswer: 4002560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 301742115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1693.3016300722 + -2.2.\nAnswer: -1695.5016300722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 407.\nAnswer: -5\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of z**5 + 102*z**4 - 1046*z**3 + 4877*z wrt z?\nAnswer: 20*z**3 + 1224*z**2 - 6276*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.286, 8, 1\/69, -3, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 AM and 6:33 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4530 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -134 - -3ac3?\nAnswer: 398d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3791023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 30*d + 2. Let b(k) = 31*k + 1. Let q(h) = -5*b(h) + 4*r(h). Find the first derivative of q(u) wrt u.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4 + 1236\/(-306))\/(-2). Let k = 3417\/35 - 682\/7. What is the third smallest value in -4, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1654905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 8*f**2 + 298*f - 1375. Determine k(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 365954293 is divided by 4717?\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the first derivative of -3*v**5\/35 + 9*v**4\/28 - 2*v**3\/7 - 3685. Factor g(j).\nAnswer: -3*j**2*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 176, 367, 694, 1163, 1780, 2551, 3482, 4579?\nAnswer: 5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 499876028.\nAnswer: 2, 2221, 56267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129*m = -124*m - 2355. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -109, -113, -117?\n\"Answer: -4*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 42.01956 hours?\nAnswer: 2521.1736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-2 - (-93)\/45). Let l(k) = -k**3 - 4*k**2 + 3*k. Calculate the smallest common multiple of 1*(-5)\/(m\/18) and l(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -145\/9144 and -121\/6096.\nAnswer: 18288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -44.5 + 45.6. Suppose -4*x = 5*k - 26, x + 6 = 3*x - k. Suppose -4*v + 4 + x = 0. Which is the closest to 2? (a) -2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -13*m**3 - m**2 + m + 1. Let l be g(-1). Let y = l - 19. Which is the smallest value? (a) y (b) 1\/2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + 2*d**2 + 5*d. Let m be b(-6). Suppose 3*p + m = 6*p. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 9d5f3 (base 16) to base 2\nAnswer: 10011101010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7341 + 5187 = 106*l + 38*l. Calculate the remainder when 2870 is divided by l.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 526171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 3*j + 3. Let v(n) = -3*n - 2. Give -6*a(b) - 7*v(b).\nAnswer: 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*8\/((-112)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 46\/13509 and -68\/1235.\nAnswer: 878085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 5*c + 1258 = 0, c + 906 = 2*x + 280. Let p = x - -128. Calculate the common denominator of (12\/48)\/((-6)\/p) and -29\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 29552\/44319 + -2\/14773. Let j = 0.9 - 1. Which is the biggest value? (a) j (b) 31 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 114 = 4*u, -4*y + 3*y + 5 = 0. Suppose 2*i + 2*l - u = 0, 5*l - 37 = -3*i + 3*l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m - 2. Let v be y(7). Let d = -62\/7 - v. Let r = 0.1 + 0.9. Which is the nearest to r? (a) 1 (b) d (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 266286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*f - i + 4*i, -4*i + 6 = -5*f. Calculate the remainder when (6\/4)\/((-1)\/(-4)) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (517 - 513) + (2 - -23) + -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14? (a) -22 (b) 48 (c) 0 (d) -3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the third derivative of d**5\/30 + d**4\/4 - 7*d**3\/3 + 18*d**2. Let o be l(-6). List the prime factors of 2270\/o + 10\/(-55).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*a - 56 = 75 - 78 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 162, -350, -1758, -4512, -9062, -15858, -25350, -37988?\n\"Answer: -75*s**3 + 2*s**2 + 7*s + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 447 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 174462788 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 20 = 2*c, -c + 4 = d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of -8*u + 1\/2*u**2 + 19. Suppose 0 = 5*k + q - 38, 3*k = -q + 23 + 1. Give o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*s - 7367 + 7304 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 4, -1\/38, -1270?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3205517803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/16 and 8\/(-36) - 45\/10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 183 * 0.5.\nAnswer: 91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51291 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9)\/6*1582\/(-21). Find the first derivative of -120 + 7*d**3 - d + d + z wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 PM and 10:40 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16188 and 221217.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -45\/266 - -1\/38. Let x = 23 + -22. Which is the closest to x? (a) -3 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 4*a + 1. Let d be z(-2). Let b(n) = n**3 + 7*n**2 - n - 1. Calculate the remainder when 16 is divided by b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qdroorrddd. Give prob of sequence odro.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5285 - -5288. Let h be (2 - 0)\/(4\/46). Solve -4*l + 6 = -0*l - 2*f, h = -m*l - 4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 936203?\nAnswer: 936203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 + 6*g + 11. Suppose 0 = 2*f + w + 16, 3*w + 15 = -3*f - 12. Calculate the remainder when u(f) is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 85202758 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 14\/5, 0, -288.06 in decreasing order.\nAnswer: 14\/5, 0, -288.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*o**3 - 14*o**3 + 0*o**3)*(-4*o - 13*o**2 + 5*o**2 + 4*o).\nAnswer: 160*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 32*q**2. Let h(s) be the first derivative of -9*s**2 - 29. Determine x(h(y)).\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 2*p**2 + 11*p - 48. Is z(-12) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 3, d: 15}. What is prob of picking 2 d and 1 e?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eewnfeeeewefvewve. What is prob of picking 1 v, 1 e, and 2 f?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1255, -1042, -4873, -10238, -17137, -25570?\n\"Answer: -767*r**2 + 4*r + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9\/(-30))\/(10 - 560\/50). Which is the second smallest value? (a) 0.4 (b) 3 (c) -4\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/4*1*(3\/(-30) + (-530)\/(-300)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32 - 33 - 33 - -10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1700398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 7:42 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 164238292?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-62)\/(74400\/(-90))*(-8)\/(-33).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513322 is divided by 94.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + c = 2*n - 923997, c = -n + 231003. What is n rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -71 - 5?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -401, -1011, -1621, -2231, -2841, -3451?\n\"Answer: -610*g + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (3\/15)\/((-22)\/(-44))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, w: 5, z: 2}. What is prob of sequence pzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y**2 + 15*y + 31. Calculate l(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (10\/140)\/(6\/(-36))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 13*q**2 - 5*q - 7. Let s(h) = -6*h**2 + 2*h + 3. Let c(p) = -6*n(p) - 14*s(p). Find the second derivative of c(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.01, 4, 1, -2\/3 in increasing order.\nAnswer: -2\/3, -0.01, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10435*t**4 + 10*t**2 - 272770*t.\nAnswer: 125220*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide (-400)\/20*3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -4 - (160 - 143)) + -25.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14613 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 2 - 155411*s**3 + 155415*s**3 + 7*s as t*s + l*s**2 + a + b*s**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1501.9057 + 1502. Let r = -0.0943811 + g. Round r to six decimal places.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 2*q**2. Suppose 20*r - 21*r = -3. Let a(k) = 10*k - r*k - 5*k - 3*k. What is a(i(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -7 + 16 + 2584*s + 2108*s. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 39*v**2 - 328*v - 16. Give h(10).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 4*y**2 - 14*y - 28. Give b(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19824641*a**4 + 1351*a**2 + 1092*a wrt a?\nAnswer: 475791384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 AM and 2:43 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*u**2 - 2*u**2 + u**2 to the form n + o*u + l*u**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -178*z - 38 + 177*z + 68 - 30. Let u(j) be the second derivative of 23*j**4\/12 - j. Calculate u(a(l)).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -43, 1, 4, 0, -2\/3 in ascending order.\nAnswer: -43, -2\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -90 + 65. Which is smaller: -24 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 11 + g - 11 + 0*g**2 - g**2. Let q be j(-3). Is (9 + 1)*(-30)\/q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*n**4 + 92*n**3 + 720*n**2 - 1328*n - 640 = 0. What is n?\nAnswer: -5, -2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1215 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 - 2*l**3)*(-848 - 862 + 1883) + (-1 + 1 + 2*l**3)*(3 + 0 - 4) to d + s*l**2 + h*l + w*l**3 and give w.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, t: 1, r: 2}. What is prob of picking 1 r and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4290555711.\nAnswer: 3, 13, 110014249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 110924966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 441*a - 2248. What is o(6)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 238581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -33 - -18. Let c be (9\/y)\/((-1)\/15). Let u = c - -10. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1144 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -795\/4 - -1382\/7. Let r be (1 + -2)\/((-807)\/405). Let w = -32531\/9684 - r. What is the common denominator of w and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2779 + 92.88?\nAnswer: 92.6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7523\/56 + -957\/7. Calculate the common denominator of 4\/102 + (-4424761)\/(-889372) - 10\/2 and r.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4594695*l**3 + 1850310*l**2?\nAnswer: 27568170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 0 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 + 5*x**2 + 4*x - 2. Let p be o(-5). Let i = p + -13. Is i at most -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 + 9*o + 13. Let c = 6 - 4. Suppose 2*r + c*j + 2*j - 38 = 0, -j + 50 = 5*r. Is l(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 4*q = 0, h = 4*h + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1776 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z - z - z + 4*z - 12. Let c be m(12). Suppose 7*a - 5*a - 46 = c. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -810 (b) 0.4 (c) -0.83 (d) 2 (e) 0.2 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4b + 55a?\nAnswer: 5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 958832 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(0 + 6\/3). Let g(z) = -z**3 - 2*z**2 - z - 2. What is g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 52555 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 take away -1712309.11?\nAnswer: 1712304.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -b (base 14) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 3. Let k be (-14)\/(-4) - 9\/18. Suppose -k = -4*i + l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*w + 5*w + 3*q + 112, 1185*q = 2*w + 1182*q - 119 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-12)*(-4)\/(-2)*(-2160)\/576?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (4 - 9) + (-7 - (6 + -13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wtukwutcy. What is prob of sequence uykt?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2 - -0.4. Is c greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5412 = 59166*l - 59144*l. Calculate the highest common divisor of 120 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (59*j + 761 - 761)*(36*j + 4*j + 32*j) as m + i*j + p*j**2 and give p.\nAnswer: 4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(6\/15)*-1. Let j(w) = 2*w**2 - 7*w - 5. Let r(k) = k**2 - k - 1. Let i(m) = p*r(m) - j(m). What is the second derivative of i(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7284?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14131 + 10?\nAnswer: 14141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9082582 + 30515196 = 238*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1011110 - 1010001110110?\nAnswer: -1010000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -m**4 + 4*m**4 + 2*m**4 + (20 - 46 - 16)*(2*m + 2*m**3 - 2*m)*(-2*m - 3*m + 4*m).\nAnswer: 89*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*n - 2*l = -35*n - 42282992, 0 = 2*n - 2*l + 84565992. What is n rounded to the nearest 100000?\nAnswer: -42300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -289, -1134, -2541, -4510, -7041?\n\"Answer: -281*u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the first derivative of c**3\/3 - c**2 - 4*c - 14. Is x(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 95 - -5?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 7890 divide 3762890990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 10*o**2 + 2*o - 16. Let s be x(10). Suppose 0 = -s*m + 8. Suppose 5*h + r = 1033, 4*h = -4*r + m*r + 830. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-12 + 3)*(-31)\/3. Let u = n - 69. Solve 0 = -u*b + 23*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 7:35 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fourty-six fifths of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:13 AM and 5:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 16f3027?\nAnswer: -16f3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -145*t**3 - 10*t + 49*t**3 - 5*t + t**2 + 51*t**3 + 47*t**3 in the form u + s*t**2 + g*t + j*t**3 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 395585132.\nAnswer: 2, 709, 139487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 - 1. Let w(u) = -2*u**2 - 36*u + 103. Let j(k) = -5*i(k) + w(k). Factor j(v).\nAnswer: 3*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -757*r**4\/2 - 2273*r**3\/2 - 2277*r**2\/2 - 763*r\/2 - 1 = 0. What is r?\nAnswer: -1, -2\/757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-27 - ((-1 - 25) + -6)) + -3 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -24 + 29 - (1 + -3) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 2 + 2*x**4 + (x**3 - x**3 + 17*x**3)*(0 + 2 - 1)*(x + 4*x - 6*x) to t*x**3 + l*x**2 + c*x**4 + o*x + y and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 6 + 9 = 5*d, u - 12 = -4*d. Solve -a - d*w - 13 = 0, a + 2*w + 3*w + 19 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvnn when four letters picked without replacement from {v: 4, f: 6, n: 7}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 22 + 20 = 40. Let l(d) = 17*d**2 - 3. Let g(a) = 35*a**2 - 7. What is b*l(t) - 6*g(t)?\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 34 = 5*w, -86*a - 12 = 3*w - 87*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6 - -14) + -19 - 0) + 47 - 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0*(4\/10)\/((-84)\/70). Suppose 68*n - 65*n + 9 = a, 2*n = -u - 10. Suppose 0 = -0*l - 5*l - 5. Put u, 1, -5, l in descending order.\nAnswer: 1, l, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -251*f + 337 - 201 + 249*f + 541.\nAnswer: -2*f + 677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.17 - 13.17. Let v = 1341116.999885 - 1341130. Let w = b - v. What is w rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 3*z - 5. Let b be f(7). Suppose 29*q - 42 = 22*q. Calculate the greatest common divisor of b and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - -18. Suppose 5*a + 7*c - 2*c + 40 = g, 8 = -a + c. Let v(t) = t**3 + 8*t**2 - 3*t - 11. What is the units digit of v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 546 and 4601310.\nAnswer: 59817030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122*r**2 - 466*r**2 - 98*r**2.\nAnswer: -442*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -81 divided by -13501?\nAnswer: 81\/13501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 8*c**3 + 3*c - 10*c**3 + 0*c**3 - 2. Let g be r(2). Let w be (-4)\/g - (-32)\/12. Solve y = w*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 18155018 times 0.4\nAnswer: 7262007.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -22105*a**2 + 2926.\nAnswer: -44210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 15984622 by -2.\nAnswer: -7992311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15320.7 + 15321. What is the nearest to 1 in -7\/4, c, 67, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -3*q**3 - 3*q**2 - 8*q. Determine p(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -4 + 10\/2 + 8 + -3. Let i = 52 - 52. Are z and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -10*z + 62. Determine s(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 + -3. Let h(t) = t - 1. Let a(i) = i**2 - 4. Let x(n) = a(n) - h(n). Determine x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i + 8. Let o be p(-5). Let x be (o + -4)\/((-2)\/(-1)). Which is the closest to x? (a) -5\/4 (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -279 + 278. Suppose -34*z = -30*z - 100. Let f(b) = -b + 1. Let p(o) = -20*o + 25. Determine n*p(a) + z*f(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.193*2048.3.\nAnswer: -395.3219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 12*f**2 - 12*f - 30. Let r = -4305 + 4318. Determine o(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 - (-2 + -3 + (-2)\/(9 + -8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**2 + z + 1. Let m(g) be the second derivative of g**4\/12 - g**2\/2 - 77*g - 19. Calculate 4*m(t) + 3*x(t).\nAnswer: t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(2\/12*118\/59).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**5 + 9651*b**4 + 661836*b**3 - 5757168*b**2 + 11822400*b = 0. Calculate b.\nAnswer: -75, 0, 4, 3284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 31\/57 - 4\/19. Let o = 6.344 - -802.756. Let n = o - 809. What is the nearest to n in -4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/11 + (-299)\/(-143). Put -13, -11, k in descending order.\nAnswer: k, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2033768041 a multiple of 6430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 5242*v**3 - 13*v**2 + 15*v + 5. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 9. Suppose -g*v + 10 = 2*v. Suppose 3*n + 13*n**v - 6*n**3 + 0*n - 15*n + n**4 + 4 = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -93*p = -66*p + 270 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -81 (base 14) in base 13?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - a + 4*a - 18 - 2*a.\nAnswer: a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand z**3 - 2 + 2 + z**2 - z**3 - z**2 + (-2*z**2 - 4 + 4)*(3*z - 4*z + 2*z) + 540*z**3 + 687*z**3 - 730*z**3.\nAnswer: 495*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - 8)\/((-1)\/6). Suppose 12*r - 321 = 651. Calculate the highest common divisor of c and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 24145917 by 8048639.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 139771 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -23520 (base 8) to base 10\nAnswer: -10064","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1e - 69d02a?\nAnswer: -69d049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**2 - 27*i - 70. Let t be (-2)\/(-4)*(37 + -57) + 0. Let c be y(t). Factor 6*l - 45\/2*l**3 + 18*l**2 + 6*l**4 + c.\nAnswer: 3*l*(l - 2)**2*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (53*l + 49*l - 155*l + 47*l - 399)*(3 - 3 - 2*l**2).\nAnswer: 12*l**3 + 798*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -17 divided by 36645?\nAnswer: -17\/36645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*v + 8. Let k(t) = t + 7. What is k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-229)\/((-1654983)\/495)*(-3)\/5?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2622\/(-2760)*(-1260)\/(-2736).\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -14920*x - 8086634. Give l(-542).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17139, -17142, -17143, -17142?\nAnswer: -17139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14075904 - -8178097702\/581. Let r = -21\/166 - g. Let t = 54\/109 - 4351\/1962. Find the common denominator of r and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18 - -94. Let b = i - -16. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 80 + -147. Let c = 69 + i. What is the units digit of (66\/(-24))\/(c\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 - f**2 + 6*f - 13. Suppose -4*o + 2*o + 2 = 0, -2*k + 5*o = -5. Let g be n(k). What is the highest common factor of 273 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 2*c - 8988 = 0, 0 = -7*x + 2*c + 3*c + 20971. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 10600, 23235, 35870, 48505, 61140, 73775?\n\"Answer: 12635*s - 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 2.71136532 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6*g - 2. Let n(v) = 13*v + 3. Let k(j) = -5*m(j) - 2*n(j). Calculate the smallest common multiple of k(2) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of b**3 + 102*b**2 + 3468*b - 212. Let l(s) = 0. What is s?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2708 - -5845. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 4*v + 6. Let c(m) be the second derivative of -4*m**3\/3 - 11*m**2\/2 - 21*m. Suppose -x - 4*x + 46 = 3*i, 28 = 2*x - 2*i. Determine x*y(t) + 6*c(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9612 and 40050?\nAnswer: 240300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 63*o**2 - 117008*o + 117008*o.\nAnswer: -63*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/(-5*sqrt(10)))\/sqrt(4).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 15 divided by -88098?\nAnswer: -5\/29366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 14*s**3 - 16*s**2 - 11. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-60 + 16 - 60)*(-21*g**3 - 11 + 11).\nAnswer: 2184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of 0 + 2\/105*v**7 - 6*v - 1\/10*v**6 + 0*v**2 + 3\/25*v**5 + 1\/15*v**4 + 0*v**3. Factor j(m).\nAnswer: m**2*(m - 2)**2*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(-4) + 27\/12. Suppose -4*c = -20, -c = -3*a + n + 17. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -42857.7?\nAnswer: 171430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = -94*b - 45. Sort 3, 0, -97, b.\nAnswer: -97, b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/(-6))\/((-3)\/(-6))*55. Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 + 2*v**2 - 4*v - 4. Let z(p) = 21*p**2 - 106*p + 3. Let i be z(5). Let r be d(i). Solve 0*x - r*x - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*c = -34*c + 54. Suppose 4*w - x = 4, 3*x = 5*w - 2*w + c. What is the lowest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, a: 1, y: 1}. Give prob of picking 1 a and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 279836 is divided by 46616.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z\/(z*z*((z\/z**1)\/z*z*z)\/z)))**38)**0)**(-3\/22) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 6, f: 2, y: 3, t: 5, m: 1}. What is prob of sequence fz?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes after 11:23 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 154*o**3 + 413*o - 2 wrt o.\nAnswer: 924*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from {x: 4, j: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/14288 and 69\/1316.\nAnswer: 100016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 519 + 38*p - 507 + 13*p as n*p + k and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 43498983 to the power of 1\/2, to the nearest integer?\nAnswer: 6595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 7*r**3 + 24*r**2 - 24*r**2 as p + b*r**2 + h*r**3 + g*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 27932\/7 greater than 3989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 232259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 73*c + 9*c + 43*c - 32*c to g + u*c and give u.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 + -1 - 2) + 2. Let y be (z - -3) + 1 + 1. Let s = -5 + y. Solve 3 = -b + 2*q, 3*b - 7*q = -s*q - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4952.494kg to grams.\nAnswer: 4952494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 + (-15)\/2)*(-20)\/(-25). Let k(o) be the third derivative of -17\/24*o**4 + 0 + 0*o + 13\/6*o**3 + 2*o**2. Let t(b) = -4*b + 3. Give y*k(w) + 26*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2144\/4221 + (-4)\/18. What is the third biggest value in -13, n, -0.9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -422769232*g. Let o(t) = 2*t**2. Determine o(y(f)).\nAnswer: 357467647051739648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/10818 and -61\/5755176.\nAnswer: 5755176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 51.1 - 51. Which is the nearest to 2\/5? (a) z (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 513*z**2. Suppose -5*d = 25, -4*d = 7*w - 2*w - 2405. Let s(m) = -w + 485 - m. What is a(s(v))?\nAnswer: 513*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (z**4 + 0*z**4 + 2*z**4)*(-80 + 80 - 3*z).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - 5*c + c)*(c**2 + 2*c**2 - 5*c**2) - c**3 - 5*c**3 + 4*c**3 + 11*c**3 + 0 - 10*c**3 + 11.\nAnswer: 3*c**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is m in 280\/3*m + 4\/3*m**3 - 1176 + 94\/3*m**2 = 0?\nAnswer: -14, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**3 + 19*h**2 - 17*h - 7. Let w be c(18). Suppose -w*x + 1 = -21. Find the third derivative of -7*t**2 + 81*t**3 - 2*t**x - 47*t**3 wrt t.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 341*b = 23786 - 4453 + 13744. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 2*i - 21 - 21 = 0, 0 = 5*w - 2*i - 66. Calculate the common denominator of ((-10)\/w)\/(96\/27 + -4) and 254\/24 + 2\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -161797 divided by -1?\nAnswer: 161797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 2348 by 3.\nAnswer: 2348\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = n + 3. Let u(a) = 6*a - 5*a - 3*a + 9*a**2 - n. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 109290649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.14 - 1.14. Let z = -130 + 523\/4. What is the closest to 2 in n, z, -5\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {k: 2, b: 1, j: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127711.\nAnswer: 127711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85544?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.6, -1667, 0.28, 0.03?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2665*o**2 + 1 + 4 + 2679*o**2 - 7.\nAnswer: 14*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**3*f**0\/f*(f*f**(-2\/9))\/f**1)\/((f**0*f*f*f)**(-47\/4)*f**(-3)*((f\/f**2*f)\/f)\/f) assuming f is positive.\nAnswer: f**(1513\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -52807*y**3 + 514*y**2 - 16 wrt y?\nAnswer: -316842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 3*c**2. Let p(o) = -982*o. What is p(h(m))?\nAnswer: -2946*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3957*n**2 - 48*n. Let s(v) = 495*v**2 + 6*v. Give -2*f(p) - 17*s(p).\nAnswer: -501*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3 - 8034*j**2 + 16112160*j + 96962400.\nAnswer: (j - 4020)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c - 2. Let p(t) = -t + 3. Suppose 10*m - 8*m - 14 = 0. Calculate m*z(f) + 5*p(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1472, 1481, 1488, 1493, 1496?\n\"Answer: -x**2 + 12*x + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are -1065\/4 and -267 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/453 and 32\/7653.\nAnswer: 1155603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 373 + 14830?\nAnswer: 15313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + 3*q - 1435, 2*q - 1150 = -3*w - w. List the prime factors of w.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 429*b**2 - 2 + 2*b + 455*b**2 + 1 - 242*b**2 - 9.\nAnswer: 642*b**2 + 2*b - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 787507\/3 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-468)\/(-4134) - (-1251720)\/(-9063)\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 6. Suppose 4 = c + f - 20, 0 = c - s*f. Suppose 0 = -4*x + c, 0*j - 3*x = j - 29. Calculate the least common multiple of j and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 + 1 + 0)*(-k + 3*k - 7*k)*(2*k + 2*k - 2*k + (-2 - 1 + 2)*(-5*k + 3*k + k) - 2*k - 3 + 3 + 1 - 1 - k + (0*k - k + 3*k)*(1 + 3 - 2)).\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2 = 2*s - 10, -s - 3*i + 11 = 0. Solve 101 - 126 = s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*1*(-3)\/(-2). Suppose -10 + 10 = 2*g. Suppose 4*p - 75 = 5*i, g = -5*p + a*i + 13 + 84. Calculate the lowest common multiple of p and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 56487, 56409, 56319, 56211, 56079, 55917?\n\"Answer: -t**3 - 71*t + 56559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3650148.787 + -4045011.7728. Let z = -394984 - j. Let s = z - -121. Round s to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 807922118 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.02 (b) 3 (c) -1 (d) 0.23 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/67084 and 70\/93.\nAnswer: 201252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -309 - -345. Suppose -4433 = 25*u - l*u. List the prime factors of u.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18345.\nAnswer: 3, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 88 a factor of 424114384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3 - (4 - (7 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 88*b**3 - 6*b**2 - 7*b + 3. Let m(c) = 89*c**3 - 4*c**2 - 5*c + 2. What is 2*d(g) - 3*m(g)?\nAnswer: -91*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 - -6. Suppose 9 = 5*a - 6, 5*a + 230 = 5*h. Suppose -5*v - 3*n + h = 0, 4*v + n = 19 + j. Solve 7 = 5*p - v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/23 and 5\/104?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((7 - 2 - 2)*(2 + 1 - 5) - 2 - 1 + 1)*(2*f + 2*f - 2*f) to the form p*f + b and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(208))*3 + -2*(4 + sqrt(208)))*-3.\nAnswer: -12*sqrt(13) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 144*p + 142*p - 3*p**2 + 2*p**2 - 294*p to m*p + v*p**2 + i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 147301 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: Express (2 - 2 + 2)*(262 - 257 + 347 + 3*z**2) as t*z**2 + x*z + c and give c.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 3*r**2 + r - 7. Let p(x) = 7*x**2 + 2*x - 15. Let a(v) = -5*l(v) + 2*p(v). Let k be a(0). Solve -4*t = -k - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ipjj when four letters picked without replacement from qjjgjpjjiwigiiqijqp.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*o + 3*o - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8366 and 27946?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 52*m**3 + 9*m - 47. Let r(y) = -13*y**3 - 2*y + 12. Let f(o) = -18*r(o) - 4*v(o). Differentiate f(z) with respect to z.\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 6}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*(1118\/172*4\/39)\/(16\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1196837?\nAnswer: 1196837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004435 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from ceffaceeacc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -53107921*y**4 + 930471181 wrt y?\nAnswer: -212431684*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 369288 < 369289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 12*m**2 - 8*m + 97. Is k(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - (-3 + (1 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 285*b**2 + 3482694*b - 73320 = 0.\nAnswer: -12220, 2\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -4*y - 0*y + 45, 5*y - 70 = -4*d. Let m be 11\/5 - 1\/5. Suppose m*p + 0 = y. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1886 - -2441. Sort -4, 4, b.\nAnswer: -4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**3 + 0*u**3 + 0*u**3)*(11 - 11 - 16*u) + 2*u**4 - 3*u**4 + 0*u**4.\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 102 - 40012?\nAnswer: -34410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10120 - 60865\/6. Find the common denominator of 95\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9*o**4*z**3 - 9990*o**3*z**3 + 7555*o*z**3 + 12*o*z**2 wrt o?\nAnswer: 108*o**2*z**3 - 59940*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(11\/3)*z)\/(z*z**(2\/21)\/z*z) assuming z is positive.\nAnswer: z**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*-4*80\/2048*24\/(-90).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-8)\/6)\/(-2) + (-154)\/6. Let k = y - -27. Determine r so that 15\/4*r**3 - 3 - 9*r - 9\/4*r**k = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4174\/9 + -2809\/6. What is the common denominator of v and -67\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -0.1. What is the closest to f in -2\/5, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1383697 divided by 43.\nAnswer: -32179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -74.6 - -83. Let a = 6.4 - m. What is the second biggest value in a, -8, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15183427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/45*(-3)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.03725 and 0.0599.\nAnswer: 0.02265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**2 + 7*i + 8. Let g(s) = s**3 - s + 1. Let c be g(2). Let d be (-34)\/6 - c\/21. What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -19 by 200907.\nAnswer: -19\/200907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 3*x + 31 = 22 + 55, -2*m - 20 = -2*x for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7109742?\nAnswer: 2, 3, 1184957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 199*k - w + 1 = 200*k, -4*w = -4*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -87 + 53.5. Let d = 32 + p. Let l = 1.7 + d. Which is the closest to 0? (a) 1\/2 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 363*j + 73885. Give v(-204).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -659 (base 12) in base 5?\nAnswer: -12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - 13ab89?\nAnswer: -13ab8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48153867.\nAnswer: 3, 619, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -1729800 to the nearest ten thousand.\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2\/6 + (-140)\/300\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*c = 30*c - 65. Solve c*k - 21 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3002151054 + 1?\nAnswer: 3002151055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -337842 - -337850. Let w(c) = 14*c**2 + 20*c. Let d(t) be the third derivative of 3*t**5\/20 + 13*t**4\/24 - t**2. What is h*d(l) - 5*w(l)?\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/17*(-119952)\/2520?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t - 7. Let z(j) = -j - 11. Let w(k) = 8*c(k) - 5*z(k). Let d = -50 + 60. Let p be d*((-22)\/(-70) + 6\/21). What is w(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 234 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.26 (b) -159 (c) 74 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i\/i**(2\/27))\/i)\/i*i**1)\/((i*i**(-2\/3))\/i)**19)**(-10) assuming i is positive.\nAnswer: i**(-3400\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + 10 + -4 - -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.9 - -1.3. Let r = -2.2 + h. What is the biggest value in 1\/3, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**17\/s)\/(s*s**(-6)))\/(s**2*s*s*s**(-25)) assuming s is positive.\nAnswer: s**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -213*z**2 - z + 13. Let l(u) = -215*u**2 - 2*u + 19. Determine -2*l(a) + 3*v(a).\nAnswer: -209*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35068787*h + 35068791*h - 70137575*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18912 and 21867?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5176 is divided by 370.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6652103\/35 + -190074. Let j = q - -71\/5. Let t = 3.02 + -0.02. Which is the second smallest value? (a) t (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 21548918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3 + -5 + 44*1. Suppose 4*k + 1 - 39 = 2*x, -4*k + b = 2*x. Let y be (-306)\/(-10) - (-9)\/(-15). Calculate the highest common factor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25 - -30. Calculate the remainder when 19 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 82 = 5*o, 3*t = 2*o + 132 - 22. Suppose 3*n - 1 = -5*r + t, -21 = -3*r - 4*n. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*p - 770 = -0*p - 3*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 285891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 5*k + 2*s, -2*s - 2 - 6 = -5*k. Solve -6*u + k*r = -5*u + 7, 5*u = 5*r - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231597 is divided by 443?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 0 + -6 - -4 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/4)\/(11\/(-22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 99, 0, -1\/4, -0.03, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -13*o**3 + 8*o + 45. Let l(h) = -7*h**3 + 4*h + 23. Let k(f) = -7*l(f) + 4*t(f). What is the derivative of k(j) wrt j?\nAnswer: -9*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123020 (base 9) in base 7?\nAnswer: 426561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.04821 and -35.48.\nAnswer: 1.7104908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 25*(18522\/(-210) - -90)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 20731366 divided by 26647\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -288 < -287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*c - 1104. Suppose -2*j = 5*o - 209, 3*j + 3*o + 68 = c. Let s = j - 189. Round s to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 148429 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 4248*n - 581. List the prime factors of s(7).\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3*w**2 + 37*w + 16. Give j(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 368 + -351. Let x = 34 - 21. Let p = x + a. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93973 is divided by 2334?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 18691975 to the power of 1\/2, to the nearest integer?\nAnswer: 4323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -51.93894 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -62 - 38 + 141 - 51 - 13*i**2. Let d(h) = 15*h. What is d(v(r))?\nAnswer: -195*r**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + -1 + sqrt(200) - ((-1*sqrt(200) - sqrt(200)) + -1)) + -5)**2.\nAnswer: -540*sqrt(2) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-155 + 22*y**3 + 155)*(-2 - 113*y + 46*y + 49*y) + 2*y - y**4 - 2*y as m*y**2 + f*y + p + o*y**3 + i*y**4 and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -65.7 and -223273.\nAnswer: -223338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**3 - 23*t**2 + t + 23. Let f be l(-23). Suppose -i + 7*d = 2*d - 32, i + 5*d - 42 = f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -161289, -322589, -483889, -645189, -806489?\nAnswer: -967789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1656, -1626, -1596, -1566, -1536, -1506?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 6 - 19 = 0. What is the remainder when 48 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/12 - 70\/60. Put -5, 0, 4, q in increasing order.\nAnswer: -5, q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(2\/7)*v*v**(16\/7)\/v)\/(v*v*v*v\/v**(2\/9)*v*v*v**(-1\/2)))**(-3\/2) assuming v is positive.\nAnswer: v**(341\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -87 = -14*i - 148*i - 2193 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006719 rounded to 4 dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 89 divide 319743601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -2*u + 1. Let y be w(-2). Let x = 7 - y. Suppose 13 = 3*i - x*k, -42 - 9 = -5*i - 4*k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 1 = -2*z, 4*z = 2*w + 34. Let a = 10 + w. What is the remainder when (-4)\/6*(-5 + -1) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 3 - 5) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39455 is divided by 7879.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 116 + 30. Suppose -z + m = -13. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13224, -26592, -39960, -53328?\nAnswer: -66696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 27 = 3*h - 5*x, -2*h - 64 + 75 = -x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 11 = -2*n, n + 3*b - 5 = 4*b. Calculate the lowest common multiple of n and 6\/(-9) + 44\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of -g**3\/6 - 3*g**2\/2 + 6*g - 16. Let w(b) be the first derivative of s(b). Calculate w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1470776, -5883105, -13236990, -23532431, -36769428?\nAnswer: -52947981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (y + 5*y + 0*y)*(3*y**2 - 3*y**3 - 3*y**2 + (-2*y - y - y)*(y**2 - 2*y**2 + 0*y**2)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/390100 and -131\/110?\nAnswer: 4291100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 39*r = -17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 32*d. Let h(n) = -n - 8. Calculate l(h(j)).\nAnswer: -32*j - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/3 - 4334*j**2\/3 - 924784*j - 146194440.\nAnswer: -2*(j + 235)*(j + 966)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes after 2:25 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -o - 37589, 2*o = 5*r - 3*r - 75208. Let h = 73506 + o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -2 + 54. Suppose -48 = -1572*o + 1548*o. Do m and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 130319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7, c: 7, d: 2}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*u**2 - 2*u**3 - 11*u**2 - 2*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 35 = -6*s. Suppose r = 3*x + 2, -x + 4*r - 8 = -6*x. Solve 2*k - 5*c - 13 = x, 2*c + s = -3*k + 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 4021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -14*s**3 - 5*s**2 + 9*s - 5. Let p(l) = l**3 - l**2 + l - 1. Let r(q) = -i(q) + 5*p(q). What is the second derivative of r(w) wrt w?\nAnswer: 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2605.2 - -27266.8. Let p = r + -29872.20013. Let g = p + 0.2. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/21498280 and -123\/34480?\nAnswer: 42996560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -7*k - 95. Let s be g(-14). Suppose 3*y + 6 = 0, 2*d = 5*y + s + 29. Let u = 0 - -99. Calculate the greatest common factor of u and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10 + -18 + 45\/5. Which is the second biggest value? (a) -1\/4 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -112849 less than 5?\nAnswer: 112854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 25*i - 1 - 239*i - 14*i to q + x*i and give x.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2857.7 + 2853.7. Sort -0.12, 8, q.\nAnswer: q, -0.12, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 120004 + 435?\nAnswer: 120443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x**3 - 3*x**2 - 3*x - 6. Let c be i(4). Let o = c - 24. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*x + 24*x + 15*x - 95*x + 3*x + 11*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -882 divided by 441\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 465 (b) 0.3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2\/7 + 3187843*a\/7 - 455406.\nAnswer: -(a - 3187842)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-12)\/(-30) - (-22)\/(-5). Let d be (28\/(-3))\/(g\/(-12)). Let b = d - -28. Solve b = -5*y - 0 - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28534 - -47265. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 + -29. Let u = -16 - y. What is the smallest value in u, 8, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1071*k + 2023 - 1373 = -2563 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -80.8596 times -57.1\nAnswer: 4617.08316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express u + u - u + (0*u + 0*u + u)*(1 + 4 - 3) + (u + 0 + 0)*(3 + 0 - 2) - 23*u + 371 - 6*u - 369 as r + a*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/((((h\/(h\/((h**(-2\/23)*h)\/h))*h)\/h)\/h)\/h))**3\/(h**(-19)*h**(3\/16)) assuming h is positive.\nAnswer: h**(10331\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 6 - 3 + 2*u + 42 + (2*u + 3*u - 8*u)*(2 + 2 + 2).\nAnswer: -16*u + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142 + 38 = 15*p. Let l = 22 + -16. Differentiate 7*o**4 - 8*o**4 - p - l*o**4 with respect to o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -1 (b) 2\/43 (c) 0.1 (d) -0.08 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -4*(sqrt(3) + sqrt(30)\/sqrt(10)) + 2 + sqrt(108) + sqrt(108) + 6*-1*sqrt(3))**2.\nAnswer: -28*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -9*k**3 - k**2 + k - 2. Let l(c) = 7458*c**3 + 3*c**2 - 3*c + 1886. Let j(m) = l(m) + 3*y(m). Differentiate j(o) wrt o.\nAnswer: 22293*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**3\/3 - 1773712*d**2\/3 + 393244366090*d\/3 + 5505768778300\/3.\nAnswer: 2*(d - 443435)**2*(d + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 41 = -249. Let f = j + 89. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 3*d = 4*y - 1, -5*d = -25. Let p = y - 6. Let c(h) be the third derivative of -h**6\/120 - h**5\/30 + h**3\/3 - 322*h**2. Give c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5689, -5693, -5689, -5671, -5633?\n\"Answer: o**3 - 2*o**2 - 5*o - 5683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/108 and 155\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 17731250395*w + 1 + 17731250388*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*v - 7 + 5 - 17 - 66*v + 23*v**2.\nAnswer: 23*v**2 - 73*v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 237 and 27798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of 11*l**4\/8 + 6*l**2. Let q(b) = -b. Calculate q(g(r)).\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of 3*i**6\/40 + 11*i**5\/60 + i**4\/12 + 3*i**2\/2 + i. Let c(d) be the first derivative of h(d). Factor c(r).\nAnswer: r*(r + 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from vhmcnhj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16815*m - 16817*m = -27440. What is the greatest common divisor of m and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**3 - 607*h**2 - 3399*h - 3. What is q(309)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4641 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 + (-27)\/12)\/(1\/1). Which is the second biggest value? (a) -2\/9 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2758*k**6 + k**4 + 101*k**2 - 90*k.\nAnswer: 330960*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5860 is divided by 293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5 * -268\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 10297970141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 207 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: What is the square root of 6248182435 to the nearest integer?\nAnswer: 79045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*u = 123*u - 49*u - 630. What is the greatest common factor of 1250 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 307 divided by -1\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -469 by 5.\nAnswer: -469\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-133)\/(-114)*(-3)\/(-70).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 50483 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -478, 5 in increasing order.\nAnswer: -478, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of (-2 - 94)\/(6\/9*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + 4 - 5) + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -8580 divided by 4\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2 - -1 - 2)\/((-9 - 10) + 18). Let y(f) be the second derivative of 0 - 15\/2*f**2 + 5\/6*f**h - 21*f. Differentiate y(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5*((-9)\/(-5))\/3. Suppose -2*t + 4*h - 1 = 7, -t - 6 = -a*h. Put t, -4, -3 in decreasing order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i + 85 - 85)*(-i**4 - i**4 + i**4).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 674817017?\nAnswer: 7, 43, 2241917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 AM and 6:56 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m - 16 - 23 - 4*m + 4*m.\nAnswer: -m - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 + -6. Let o = -8 + y. Let k(m) = m**2 + 3*m - 6. Calculate k(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 80\/((-585)\/(-115) - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 16801.791 seconds?\nAnswer: 280.02985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2\/15 and 69\/10030.\nAnswer: 30090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w - 3*w + 4*w)*(-2*w**4 + 3*w**4 + w**4 + (-w + 3*w + 0*w)*(4*w**3 + 0*w**3 - 2*w**3)) + w**5 + 0*w**5 + 9*w**5.\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**0)**(-8\/7))**6\/((g**(2\/9)*g)**(2\/145))**(-6\/13) assuming g is positive.\nAnswer: g**(-271132\/39585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1.7 (b) 4 (c) 30 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 183618 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 prob of sequence fffp when four letters picked without replacement from pfllllpffpflf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/3 and ((-9063)\/(-1596))\/(-5*(-9)\/6*-5).\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*y + 10*y = 5*d - 217, -2*d - 5*y = -102. Calculate the remainder when 1569 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/63)\/(2\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 + t. Let h(a) = -2*a**2 + 9*a - 5. What is h(k) + 2*m(k)?\nAnswer: -4*k**2 + 11*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is (3 - 23\/2)\/((-2)\/212) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1066 - 1083 = 3*z - o, -2*z = -2*o + 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3057156 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = 213 - 201 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/(-6)*(-1 + 10). Let u be ((-18)\/27)\/(4\/(-6)). Let h be (-66)\/(u*i\/8). What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5\/23 (c) -0.2 (d) 438 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01955 to 4 decimal places.\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 42069982.4 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, x: 5, w: 1, e: 1, p: 3}. Give prob of sequence xp.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - b - 16066666 = 0. Let c = -23866666 - b. What is c rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -0*q + 2*q. What is the remainder when (363\/22)\/(q\/(-2)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 3*n, -5*n = 3*v - 20 - 20. Suppose -v*j + 1986 = -4829. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/101 - 109\/404. Let c = 177 + -171.992. Let h = -0.008 + c. Put h, d, 1\/4 in decreasing order.\nAnswer: h, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes after 9:03 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77279 is divided by 210?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7643*w**3 + 2544*w**3 + 2555*w**3 + 2548*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 233458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3890)\/30 + (-6)\/(-9) + 7. Is -121 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 233726 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eiifieeifbf. Give prob of picking 2 i and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(98)*-2*-6)**2*-3 - (-4 + -3*-6*(1 + sqrt(98)))**2.\nAnswer: -74284 - 3528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of u**5\/60 - 5*u**4\/24 + 2*u**3\/3 + 3*u**2. Let j be w(8). Suppose -j = -v - v. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29\/14 - 11\/7. Let x be (3\/11)\/(12\/(-8)). Sort x, 2, r.\nAnswer: x, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -409*1*(26 + -27)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h - 2*p - 80 = 0, -h = 2*h - 5*p - 5 + 69 - 12 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes after 11:48 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((5 + (0 + sqrt(1088))*-1)*-5 + 5 + 0).\nAnswer: -200*sqrt(17) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 7*i = 0. Suppose 13*k + 71 + 111 = 0. Let t be 18\/(-21)*21\/k. Is t at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of -3*j**5\/40 + 3*j**4\/16 + j**3\/8 - 3*j**2\/8 + 14. Determine n so that h(n) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of 191*d**5\/20 + d**4\/6 - 23*d**3\/2 - 17*d. Find the third derivative of j(a) wrt a.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 5*n = 20. Calculate the remainder when (-2*n\/24)\/((-3)\/666) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 50 - 104?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifteen sixteenths of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03192 to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 598*j = 599*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -55*t - 44*t**4 - 99*t**3 + 14*t**4 + 7*t - 120*t**2 - 3*t**5.\nAnswer: -3*t*(t + 1)**2*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -56107*v - 1514915. Calculate u(-27).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -108? (a) 1\/4 (b) 23 (c) 0 (d) 1\/5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 21181 = 4*n + 3*r + 21134, -7*n + 5*r + 72 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3471374 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 7*r - 6*r = -30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-25 - -5)*(-4 + (-63)\/(-18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111001 (base 3) to base 15.\nAnswer: -4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 5*g = -75, p - 4 - 38 = 2*g. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-3)*j**(3\/5)*(j*j**(-2\/5)*j)**(6\/11))\/((j\/(j\/((j**1\/j)\/j)))\/j**9)**(-32) assuming j is positive.\nAnswer: j**(-17684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-72)*9)\/((-9)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -127 = 2*l - 94 - 59 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/86 (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 104 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, 5, -14 in decreasing order.\nAnswer: 5, 4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**3 - 3*z**3 - 228*z + 228*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -a**2*g + 1429479*a**2 - a*g - a - 13952844*g wrt a?\nAnswer: -2*a*g + 2858958*a - g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l**2 - 118*l - 120. What is the hundreds digit of i(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 + -41. Let t be (6\/(-24))\/((1\/r)\/8). Solve 0 = t*o + o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a. Let l be -2 - 2\/2*-8. Let n(s) = l*s - 4*s - 3*s. Give g(n(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*a = -21748 + 22924 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2125*f + 198*f + 290*f.\nAnswer: 2613*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-204)\/(-255)*5\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -53 - ((81 - (27 - -16)) + 7).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 121*j**3\/9 + 2585*j**2\/9 + 928*j\/9 + 28\/3 = 0. What is j?\nAnswer: -21, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 20*d - 1348. Calculate o(67).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3199245, 6399154, 9599063?\nAnswer: 12798972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 + 28*w - 24. Let y be p(27). Solve 10 = -5*l + o, -y*l - 2*o - 22 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105215855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 230 divided by 400854.\nAnswer: 115\/200427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26, 2, 78, 226, 470?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -143, -289, -435?\n\"Answer: -146*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, -3, -4, 1.\nAnswer: -29, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 635*m**2 - 1 + 90*m**2 - 2422*m**2 + 4.\nAnswer: -1697*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*f**5*x**3 + 9*f**5*x**2 - 44*f*x**3 + 5*f wrt f.\nAnswer: 60*f**3*x**3 + 180*f**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 209873 * -2\nAnswer: -419746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 304731882 to the power of 1\/3, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 13, l: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 6*l**3 + 9*l**2 + 16*l + 3. Calculate p(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 2*v + 82. Let m be u(-38). What is the tens digit of 6 - -360 - m - (-4)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) 0.4 (c) -2\/209 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 + 13. What is the nearest to 2 in -2, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -13 + 29 - 21*d - 16. Let b(k) be the second derivative of -k**4\/12 + 3*k - 23. What is b(l(u))?\nAnswer: -441*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/108 and 16\/5806179.\nAnswer: 69674148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = -q + 183. Suppose -518 = -52*s + q*s. Is -71 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 11:26 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 6, -1 in descending order.\nAnswer: 6, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 + 3*w**2 - w - 2. Let p be o(-3). Suppose -5*y = -4*q - 27, 0*y = -y + 3*q + 12. What is the greatest common factor of p and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 5, 4, 0.4, -23\/11?\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 12:49 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19 + -5. Let k = 0.234 + 13.366. Let t = k - f. Put t, -5, -4 in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**3 - 2316*q**2 - 61518*q - 59200 = 0. Calculate q.\nAnswer: -25, -1, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -14123734, -28247468, -42371202?\n\"Answer: -14123734*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 144263585.\nAnswer: 5, 1733, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -27691\/7218 + 3255\/802. What is x in 1\/9*x**4 + c - 7\/9*x + x**2 - 5\/9*x**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.92 - -0.08. Let l = a + 2. Let o = 418.6 + -419. What is the smallest value in l, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 234\/2106 - (4 - (-543)\/27)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-16)\/60)\/(11\/(2255\/82)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 660 and 43830600?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/(240\/231)*2012\/(-3). Let y = a + -6479. Calculate the common denominator of -67\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3769457.\nAnswer: 367, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-25)\/30 - (-2 + 1))*-4. Sort 2\/5, 583, f in increasing order.\nAnswer: f, 2\/5, 583","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 0*p - 14 - 6*p + p**2 + 1. Let c be (-24)\/(-36)*27\/2. What is the remainder when 40 is divided by y(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wp when two letters picked without replacement from wtwpwwwwptwtwwwww?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*t = t - 55 + 23. Solve 2*w = -3*r - 2, 3*w + t*r + 3 = 5*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -3*h**8\/112 - 4*h**7\/105 + 1129*h**5\/20 + 677*h**2 - 3. What is the third derivative of i(u) wrt u?\nAnswer: -540*u**2 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -25250 and 0.2.\nAnswer: -5050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69)\/45 + (-84)\/(-70)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - -1 - (-3 + 3)\/(-6). Let y be (4\/(-7))\/((-4)\/14). Suppose -2*w + l + 14 = -3*l, w + 3*l - y = 0. Put 1, m, -3, w in decreasing order.\nAnswer: w, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2.26, 3, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -2182, -1, -41, -25 in increasing order.\nAnswer: -2182, -41, -25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 5504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/12 and -52\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 2 - 5 - 31*u + 155*u.\nAnswer: 124*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h - 1. What is the units digit of n(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 500\/(2 - -3) - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g + 8. Let q be o(3). What is the hundreds digit of 1*296\/10*q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(2057))*3)**2 + ((1*sqrt(85) + sqrt(85))\/sqrt(5) + sqrt(17))*-3.\nAnswer: 189*sqrt(17) + 18522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 6:04 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 9*y - 162 = 0. Let n(b) = b**3 + 11*b**2 - 15*b - 35. What is the least common multiple of n(-12) and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 9*y**2 - 44*y + 93. What is f(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.92 + -0.84. Sort -0.2, 0, -5\/3, s in decreasing order.\nAnswer: s, 0, -0.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/15, 0.1, 7\/18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes before 5:43 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*h**3 - 3 - 5*h**3 - 2*h**2 + 6 to the form b*h**2 + a*h**3 + z*h + t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(7\/(28\/(-2)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -32*g + 34*g + 33*g**2 - 16*g**2 + 5*g**3 + 13*g**2 to t*g**2 + s + w*g + l*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -182725 or -182715?\nAnswer: -182725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + 1 + -59 + 46?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 3*f = -6*m, -f - 8 = -m. Let y = 0 + m. Find the common denominator of 29\/16 and -3 + 225\/42 + y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 10 = 5*p + 2, p + 8 = 2*h. Let z(d) = -d**3 + d**2 + 2*d. Let a be z(2). Suppose 3*x + 5*l = -13, -5*x - 5*l + a*l = 5. Solve x*t = 6 + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.1514 and -39.\nAnswer: 83.9046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 663 divided by -3602.\nAnswer: -663\/3602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 0.6, 11, 2\/7 in decreasing order.\nAnswer: 11, 0.6, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 20167 times -221?\nAnswer: -4456907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3035551923?\nAnswer: 3, 112427849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r + 300215 = 113*r. Which is greater: 1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2601 and 156672.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/152 - 1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -258519c - 1?\nAnswer: -25851a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiigixxggiixxxixp. Give prob of picking 2 x.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3760 and 111390?\nAnswer: 891120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1899 = 43*m - 4164. Let o = -129 + m. Solve -5*z = -5*c - z - o, 3*c = -5*z + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*k**5 - 56425*k**3 + 115758*k.\nAnswer: 40*k**3 - 338550*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3645.17787 + 3638.17787001. Let j = -8 - -1. Let l = j - a. What is l rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.9 - 11.1. Let v = 11 - 11.4. Sort j, -3\/2, v in decreasing order.\nAnswer: v, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1104 less than -1.12?\nAnswer: -1.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -413029820, -413029817, -413029814?\nAnswer: -413029811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 52.1 - 52. Let t = -2.1 + 2. What is the nearest to -2 in c, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 510 - 512 - (-10 + -1 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -691880 divided by 49420.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 646*n**3 + 1169*n**5 - 534*n**5 - 646*n**3 + 6*n**4 - 2892*n**2 wrt n.\nAnswer: 38100*n**2 + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 68, 67, 66, 65?\n\"Answer: -x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4*s - 21 = 0, s + 3*s - 87 = -3*d. Suppose 28*p + 4805 = d*p. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5.687 from -26217977932.\nAnswer: -26217977937.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 9, 3, -14, -150 in decreasing order.\nAnswer: 9, 3, -2, -14, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 5*k**2 - 84*k + 12. Let u be j(17). Let c = u - -63. What is the highest common divisor of 69 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/53 in -0.3, -5, 0, 3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-8 + (-9 + 5 - -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24402127912 - 114.\nAnswer: -24402128026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 4, n: 2, a: 1, e: 1, g: 2}. Give prob of picking 1 n, 1 a, 1 e, and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1044400 (base 5) to base 7\nAnswer: 105410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -15*l + 2. Give u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 6 + 8 - 46894*b.\nAnswer: -46894*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 160 = -2*m + 178. Solve -3*f - q + m = 4*q, -12 = -4*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 549\/366 - (-3)\/2. Solve 0 = 4*s + 3*l, 0 = -4*s + 9*s + 3*l + h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9926 + -648?\nAnswer: 9289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3146422525 - -3147051671.0051. Let b = d + -629201. Let l = b - -55. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 1 + 5. What are the prime factors of 58\/3 - 2\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, -2, 2, 63, 0, 15.\nAnswer: -2, 0, 2, 3, 4, 15, 63","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: What is 5 + -5 + -9 + 7 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 252 by 1569.\nAnswer: 84\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y - 2. Let w be a(6). Let u = w + -2. Let p be (-1 + (-4)\/(-6))\/((-11)\/33). Solve u*z + 2*o = 11 + p, -20 = -4*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 1 - 11. Let g be -25*(8\/x)\/2. Calculate the greatest common factor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 i when three letters picked without replacement from qttqyiitbqaittyttt.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s. Let r(o) = 12*o. Let l(x) = -68*p(x) + 6*r(x). Let w(i) = -3*i. Determine w(l(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 108.6326143878 + -0.17?\nAnswer: 108.4626143878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2. Let d(f) be the second derivative of -5*f - 1\/4*f**4 + 0*f**3 + 0 + 0*f**2. Give t(d(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 97, 0, -2 in decreasing order.\nAnswer: 97, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.095 + -96.095. Let z = -96.07 - h. What is z rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2488241, 4, -4 in ascending order.\nAnswer: -4, 4, 2488241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 2*b)*(0 + 0 - 2*b)*(1 + 0 + 3).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + ((-7 - 2) + 11 + -7 - 21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do -5335 and -5336 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -4*i**3 - 8*i**2 + 14*i - 6. Let u(p) = 9*p**3 + 16*p**2 - 27*p + 13. What is 13*b(y) + 6*u(y)?\nAnswer: 2*y**3 - 8*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z + 1 + 1 + 0)*(361*z - 359*z - 234 - 89).\nAnswer: 4*z**2 - 642*z - 646","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ms when two letters picked without replacement from ssssssrssssmememm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from caccaccaccccaaeac. Give prob of sequence aa.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o + 6. Let d be c(6). Suppose -15 = 5*l, l + 19 = -d*j + 4*j. Solve -6*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 3 = 4*p, 4*o - 18 = -6. Let u be 4\/((-24)\/9) - p\/1. Solve 3*c**4 + 0 - 3*c**2 + u*c**5 + 0*c**3 - 3\/2*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90598561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/66 and 55\/192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 57\/10 and -35\/7475089.\nAnswer: 74750890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 0.5 (c) -3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 - -46?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 - -31 - 58 - ((-15 - -15) + 48 + 1).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 + 0)*(74 + -78)*(126\/(-120) - -1). Suppose 24\/5*a - 28\/5 - 3\/5*a**2 - q*a**3 = 0. What is a?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 10:56 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 5*j + p, -2*j + p = -20 + 8. Let g be ((-96)\/9)\/j + 3. Which is the closest to 2? (a) g (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21 + -55. Let x = n - -50. What is the least common multiple of (0 + 1 + 0)\/((-5)\/(-160)) and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of -2*c**7\/3 + 19*c**3\/3 + 3*c + 6. Find the second derivative of l(h) wrt h.\nAnswer: -560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**7\/h*h)\/h**(1\/3))\/(h\/(h\/h**6))**39)**33 assuming h is positive.\nAnswer: h**(-7502)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6294*h - 425*h**3 + h**2 + 6302*h - h**2.\nAnswer: -425*h**3 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 233296962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**3 + n. Let s(r) = -108528*r**3 + 24*r - 8. Let a(z) = -2*s(z) + 56*y(z). Let p be a(-2). Round p to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eireeryyiqryqrrirer. Give prob of picking 1 e, 1 r, and 1 q.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1955801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n\/n**1)**(-1\/2)*n**3\/n*n*n*n**(-1) assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -14755 times -529\nAnswer: 7805395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-48)\/(-9) + (-4)\/12. Let p(t) = -2. Let z(u) = u**3 + 5. Give y*p(c) + 2*z(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n\/n**(1\/10)*n*n*n**(-8)*(n*n*n\/n**(4\/5)*n*n*n)\/n**(-1))**(-1\/56) assuming n is positive.\nAnswer: n**(-3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 120334342 (base 7) to base 11.\nAnswer: 4243133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 48 - 68. Let f be (4\/(-5))\/(k\/50). Solve -2*y = -3*y + 2*b - 4, f*b - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, v: 11, h: 1}. Give prob of picking 2 h and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 + 28. Let t = -11.1 + 10.1. What is the nearest to t in -0.1, -3\/7, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*k + 5*k - 2*y + 25, 3*y = -4*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 372 divided by -31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 56445104 - 4?\nAnswer: 56445100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 2*j**2 + 6*j - 13. Let x be b(-5). Let d(z) = z**2 - 7*z + 2. Calculate d(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 19 + -2513?\nAnswer: -24d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -12*x**6 - 4*x**5 - 178*x**2 wrt x?\nAnswer: -1440*x**3 - 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 17*v - 371. Let z(k) = -5*k**3 + 2*k**2 - 33*k - 92. Let y be z(-2). Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7042961578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11)\/22 + 0)\/((-18)\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 7367*g**2 - 20*g - 26. Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*b + 2*l - 56, -40*b + 43*b + 42 = -2*l for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 59\/4, 0.08, -1\/8 in descending order.\nAnswer: 59\/4, 0.08, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1691, 5, -11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**2 - 6*z + 9. Let m be l(-7). Suppose 1 - 13 = -m*i. What is the lowest common multiple of 8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*h**2 - 16 + 16)*((2*h + h - 4*h)*(18 - 36 - 34) + (1 - 2*h + h - 2*h)*(2 + 2 + 0)).\nAnswer: 280*h**3 + 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 2*d**4 + 1 - 1 - d**4 + (-d + 3*d - d)*(-5*d**3 + 4*d**3 + 3*d**3) + 5*d**4 + 2*d**3 - 2*d**3.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 52*c**2 - 27*c - 19. What is the units digit of w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 866801427920 + 0.5\nAnswer: 866801427920.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 13\/(-4) - (-42 - -39). Let v = 1850 + -698. Let a be (v\/(-14) - 1) + 74\/259. What is the second smallest value in -2\/5, l, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -18, -4, 20, 54, 98?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbk when three letters picked without replacement from kkkbkkkkbk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -81, -70, -41, 6, 71, 154?\n\"Answer: 9*h**2 - 16*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1336 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2 + 11312*p + 685920.\nAnswer: -2*(p - 5716)*(p + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (j**5 - 2*j**4 + 2*j**4)*(-2 - 2 - 12).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4536 and 290133333?\nAnswer: 2321066664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 26 = -2*t, x - 3*t - 4 = t. What is the greatest common divisor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/2 - 2\/(-28). Suppose -229*d + 225*d = 5*g + 76, 5*d - 37 = 2*g. What is the closest to d in -5, -0.3, 3\/7, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = l + 5, -k - 5 = l + k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2358589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v**3\/2 + 2037*v**2\/2 + 1383123*v\/2 + 313046839\/2 = 0. What is v?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/6)\/((-8)\/12). What is the closest to 3 in 3\/5, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 8*g - 5 = -5*n, -2*g - 3*n = 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, b: 10}. Give prob of picking 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/((k*k**8*k*k)\/k))**32\/((k*(k*k*k**(-3)*k*k)\/k)\/k**(-4\/5)) assuming k is positive.\nAnswer: k**(-1449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in -2\/3, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of c**6\/360 - c**5\/60 + c**4\/8 - 2*c**3\/3 + 3. Let t(b) be the third derivative of h(b). Determine t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -9. Solve 0 = -v*f - 7 - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in -2\/7, 42, -1\/326, 0.2, 5, -4, 1\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 7 = 3. Suppose 5*o - 8 = -4*a + t*o, 7 = a - o. Suppose -a*n - 29 = -134. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 - l**2 + 5*l + 3. Let o be h(-2). Let p be o\/(-2) + -542*(-3)\/12. Let w = -137 + p. Solve 5*j - 26 + 6 = w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 238372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 1 + (-1 - 19) + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -579*s**5 - 2*s**3 + 3*s + 121 wrt s.\nAnswer: -11580*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1525 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of z**6\/1080 - z**4\/72 - 20*z**3 + 72*z. Let p(j) be the second derivative of q(j). Let p(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**3 + 58*v**2 - 62*v - 262. Give u(-59).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -11081 - -621940.58.\nAnswer: 610859.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/7 + 36\/28 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -119717.\nAnswer: -359151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -21 and -4285923423026?\nAnswer: 4285923423005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 12 and -0.1725.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of -n**4\/6 - 5*n**3\/3 + 6*n**2 + 248*n + 1. What is w(-10)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 2*q + 15, q + 3*b = -q - 9. Suppose q*l - 2*l = -24. What is the tens digit of l\/42 + (-624)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*i - 76*i = 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 6:13 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -821.54 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -512 + 524.85. Let n = z + 0.15. Is n greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = j + 3*s - 9, 5*j - 2*s = 28. Let h(f) = -f**2 + 48. Let m be h(0). Calculate the greatest common divisor of m and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 AM and 1:24 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 2, 3, -3\/202?\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 107073 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.927 + -0.027. What is the second biggest value in 19, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of c**6\/60 + 14*c**5\/15 + 9*c**4\/4 - 686*c**2. Factor y(q).\nAnswer: 2*q*(q + 1)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 702*f - 9384. Calculate k(15).\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22837 - -22399.88. Let o = -436 - v. What is o rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**2 - 11*r - 2. Let c be n(-5). Solve -2*q = -z - 11, q - c = -5*z - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -1 + u - 3*u + 4*u + u**2. Let l be n(2). Let r be 40\/l - 14\/(-49). Solve 2*v - 2*j - r = -2, v - 4*j + 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.04 - -5.04. Let a = j - 8. Let g = 27923 + -27923.5. Sort -0.06, g, a in ascending order.\nAnswer: a, g, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 14 + 15 - 7*z**3 - 25 - 45.\nAnswer: -7*z**3 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 + -6.2. Let l = -0.01 - -0.51. Which is the smallest value? (a) l (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2909*g - 17486. Determine s(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/(-5))\/((-4)\/40). Let q be 6\/8 - g\/32. Suppose -7 - q = -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: What is the third derivative of -267*i**6 - 544*i**2 wrt i?\nAnswer: -32040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-3)*543\/905. Which is the third smallest value? (a) 2\/7 (b) -5 (c) -0.9 (d) r (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*k**3 + 4*k**3 + 228*k - 228*k - 150*k**3.\nAnswer: -172*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1491 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15 + 15 - 3) + (-2 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p, 3*p = -45*i + 46*i - 351. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -117*n + 13. Let o(q) = 82 + 47 + 47*q - 179 + 45. Determine -5*h(k) - 13*o(k).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128) + -2 + 0 - (-6*(sqrt(2) - (sqrt(2) + -1)) + -2 + 0 + sqrt(2))**2)*1.\nAnswer: -68 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*g**2*s**2*v - 13*g**2*s*v**3 + 52*g*s**2*v**2 + 2*g*s**2 + 2*v**3 wrt g?\nAnswer: -26*s**2*v - 26*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c - 2*c - 4*c)*(3*c + c - 5*c) - c**2 + c**2 - 2 + c**2.\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -631030, -631347, -631664?\nAnswer: -631981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 <= -2777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 552 and 12351.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that d**4\/3 + 217547*d**3 - 652643*d**2 + 1957931*d\/3 - 217548 = 0.\nAnswer: -652644, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/110 and -83\/848892.\nAnswer: 4244460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from {q: 3, z: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 230 = -6*l. Calculate the remainder when 605 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*m**5 - 2*m**4*n**2 - 5*m**3 - m**2*n**2 + 6*m**2*n - 57*n**2 wrt m?\nAnswer: -120*m**2 - 48*m*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 4*g**2 - 215*g + 15. Is 21 a factor of y(57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 19 = 3*j, -3*x + x = j - 17. Suppose -3*t + 22 = -n, 0*t - 3*t = -4*n - 34. Suppose 4*s = t*s - 26. What is the remainder when s is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, w: 1, u: 2, o: 1, g: 2}. What is prob of picking 2 g and 1 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 + 10*b + 26. Let g be c(-7). Let z(d) = -4*d + 4. Suppose -2*u + 3 = -u. Let w(r) = u + 2*r - 5 + 0*r. Calculate g*w(y) + 2*z(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 2*n + 385, -o + 51 = 2*n - 26. What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -1 + 31 + -35\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 3278307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -386708 + -4?\nAnswer: -386713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 4*h + 2612 = 0, -g + 3*h + 5 + 646 = 0. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 375174220 minus 43?\nAnswer: 375174177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 28.2436 tonnes in nanograms?\nAnswer: 28243600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**3 + 2*y**2 + 2. Suppose 2*p + 5 = p. Let v = 2 + p. Let b(q) = 2*q**3 - q**2 - 2. Determine v*b(d) - 2*w(d).\nAnswer: -2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 AM and 1:20 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -468, -725, -982, -1239?\n\"Answer: -257*h - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1*6*(-2 - -3). Suppose z = j*z + 120. Let d be (-10)\/3*z\/10. What is the highest common factor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 32\/27 + -50\/27. Let t = -228\/545 + 2\/109. Let f = 11.2 - 11. Which is the nearest to f? (a) -2 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/154 and 67\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -2*h - 5. Let i be y(-4). Suppose -k - 2 = i. Which is the second biggest value? (a) 5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**1*x)\/x**26 assuming x is positive.\nAnswer: x**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8392 and 43096?\nAnswer: 45207704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 88, 30, -174, -524?\n\"Answer: -73*x**2 + 161*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1442, 1443, 1456, 1487, 1542, 1627, 1748?\n\"Answer: w**3 - 6*w + 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 35*d - 56*d + 25*d = 60, 3*s - 6*d = -81 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.5 + -0.42. Let g(h) = -h + 4. Let n be g(0). Let r be 32\/(-12) - n\/(-6). Which is the closest to 0.1? (a) r (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.15 - 0.150062. Round f to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86421611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-22 - -19) + 4 + (-4 - 12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11954 - -11974. Solve 0 = -10*o - f - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + -68?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -1. Let x(r) = -1. Let l(j) = m(j) - 2*x(j). Suppose -10*c + 9*c = -1. Let t(h) = -3*h**2 - h + 3. What is c*t(w) - 3*l(w)?\nAnswer: -3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 74784 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 7, a: 4, z: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {i: 2, d: 1, o: 2, t: 1, f: 2, j: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1842695415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -2441 times -2.9\nAnswer: 7078.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + 18 - ((-2)\/(-1) - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 + o + 3. Let j(u) = -2*u**2 + 18*u + 17. Let c be j(10). Calculate h(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 38034 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 777449207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3393 = 3*a + 258*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - 1011100111010000010?\nAnswer: -1011100111001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + f + 3*f - 19 = 0, -15 = z - 4*f. Let o be 8*4 + z\/1. Let p = o - 22. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4 + (-5 + (-2 + (-2 + sqrt(3) - sqrt(3)))**2)*5).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -309298 = -146*q + 37306. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.5755 + 0.0215. Let b = w - 0.697. Let u = -0.42 - -0.02. What is the third smallest value in -0.8, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2356985 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 66\/14 - (-6)\/21. Suppose g - 5 + 1 = 0. Suppose 5*x - 52 = -4*r + u, -g*x = -4*r + 84. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 208 divide 541670760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of 7*q**4\/24 + 3*q**2. Let m(w) be the third derivative of -w**5\/30 - 21*w**2. Determine g(m(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10912*z**4 - 4971*z - 57180559*z**3 + 57180559*z**3 wrt z?\nAnswer: 130944*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 17134611.48 milliseconds?\nAnswer: 0.0283310375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/32 + (-13)\/(-4). Suppose 4*z - 5 = -y - z, z = n*y + 49. What is the units digit of 4*(-1)\/(6\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 32\/(-24) + 237\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.975142654 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 3*c - 16 - 4*c - 35 + 21 + 19. Give l(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j**4 - 3768*j**3 + 1656630*j**2 - 284589600*j + 13127163375 = 0.\nAnswer: 71, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3569 and 2881.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzuflllzzzukuzlzkf. Give prob of picking 1 u, 1 k, and 2 f.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 1401\/7, -4, 1\/88?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes after 1:54 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of j**6\/10 + j**3\/6 + 2*j - 3. Let o(a) be the first derivative of t(a). Find the second derivative of o(u) wrt u.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 - -0.7. Let t = -0.231 - -0.031. Suppose 2*o = -2*o - 4*i + 24, 0 = -4*o + 4*i - 16. What is the second smallest value in t, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -c - 2. Suppose 3*y - 1819991 = 2*z, -6*y - 1820009 = 2*z - c*y. Round z to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1334)\/(-2) - (9 - 4). Suppose 1438 = 5*a - y. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 27, 52, 99, 174, 283, 432, 627?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -9*v + 6*v + 0*v - 8*v**2 + 4*v in the form l*v + d*v**2 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/12, -0.118, 1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1369 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3188 and 36.\nAnswer: 28692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 0, 23, 34, 27, -4, -65, -162?\n\"Answer: -m**3 + 30*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -362.6875 + 252.9008. Let f = 238.7845 + h. Let s = -129 + f. Round s to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18825908, 37651834, 56477770, 75303722, 94129696, 112955698?\nAnswer: 131781734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12 - 38 - -11) + 5 + 0 + -352 + 348.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0696*-0.05068.\nAnswer: 0.003527328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2 - 13. Let v be (-2)\/j*(-4)\/(-8). What is the nearest to -2\/9 in -0.4, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 522 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -16, -2*c + 0 = -2*n - 10. Suppose 4*i - 2*i - 6 = 0. Suppose 0 = 3*l - l - 2, -2*l - 4 = -3*h. Solve h*j = -c + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 324*h - 263*h - 488 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(128) + 0 + -4 + 0 + -1 + sqrt(128) - (4*(sqrt(128)*1 + sqrt(128)) - sqrt(128) - (sqrt(128)*-1*-1 + sqrt(128))))*2*-4)**2.\nAnswer: 384000*sqrt(2) + 1883200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170451 is divided by 42602?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of -v**5\/60 + v**4\/12 + 17*v**3 - 12*v**2. Let g be r(-9). Solve 2*b - 6*b = -4*p, p = 4*b + g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 9*w = 220. Suppose -140 = -4*n + 4*k, k = 2*n + 2*n - 125. What is the greatest common divisor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1086 + 1086.1. Which is the closest to r? (a) 2\/17 (b) 1.11 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + 11111001101001?\nAnswer: 11111001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 459 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27546 or -1129353\/41?\nAnswer: -27546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the second derivative of 31*t**5\/20 - 13*t**4\/3 + 52*t. What is the third derivative of j(y) wrt y?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 64.1 + -64.1166. Let l = h + 4.0166. Put l, 1, 1\/4, -4 in increasing order.\nAnswer: -4, 1\/4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 272477?\nAnswer: 272477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2417*j. Let i(u) = -6*u. Calculate w(i(h)).\nAnswer: 14502*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000002488572 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-18)*3*4\/(-30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 70.7306 and -0.3681.\nAnswer: 70.3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 - 5. Let y be 2*(-9)\/6*-1. What is the remainder when (1 - y)\/((-2)\/43) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + m + 163, m = 3*k + 366 + 139. Sort 2, 1\/6, k in descending order.\nAnswer: 2, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.487 + -2.72739\nAnswer: -0.24039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.6 + -3.4. Let a be (2\/4)\/(9\/4). What is the second biggest value in 0.2, m, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15*(-7)\/21 + 7. Factor 4\/3 - 2*b - 4\/3*b**f.\nAnswer: -2*(b + 2)*(2*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - 1 - (-1 + 3 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*a + 3*a - 113 - 63 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 16349287, 32698586, 49047887, 65397190?\n\"Answer: i**2 + 16349296*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + (-3 - 44) + 5 + (-3 - -4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - w + 9 = 0, 0 = -2*t - 32*w + 26*w - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4212236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) 140 (c) 0.4 (d) 80448 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**3 + 2*n**2 - n. Let y(u) be the third derivative of -u**6\/120 + u**5\/30 - u**4\/24 - 23*u**2. Let s(p) = 7*t(p) - 6*y(p). Factor s(k).\nAnswer: -k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*y + 998 - 15266 = 0. Let s = -282 + y. What is the greatest common divisor of 154 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -7*o - 2. Let v(c) = -4*c + 1. Let n(l) = -9*l + 11. Let f(s) = -n(s) + 6*v(s). Determine -6*f(i) + 14*t(i).\nAnswer: -8*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-82)\/4*(1 + 1). Let l = 62 + j. What is the remainder when 40 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -40, -3, 18.33, -0.84, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -a**7\/42 - a**6\/5 - 13*a**5\/20 - a**4 - 2*a**3\/3 + 2*a + 6. Let m(k) be the first derivative of g(k). Factor m(w).\nAnswer: -w*(w + 1)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 + 10cc55?\nAnswer: 10cc59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 591, 567, 561, 579, 627?\n\"Answer: v**3 + 3*v**2 - 40*v + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -256522*b*p**3 - 3498*b*p**2 - 37*p**2 wrt p.\nAnswer: -1539132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 2*a = 62, 3*k + 99 = 5*a - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 11c01 - 8?\nAnswer: 11bf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/(f\/(f**6\/f)))**29\/(f**(-12\/7)*f*f*f*f*f*f**(-12)) assuming f is positive.\nAnswer: f**(1279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 41995177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -14. Let v(t) = 2*t**3 - 7*t**2 - 7*t + 7. Is v(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1599*h + 32561 - 304105 = 1012*h for h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 280340 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z - 8. Let n be (-12 - -11)\/(2\/(-16)). Give d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 31.6 - 28. Let k = -27.457 - -27.257. Is k at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 72 and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 28 + s - s + 2*s - s**2 + 2*s. Let l be g(8). What is the second smallest value in 24, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*g - 119*g + 340*g - 7252 = 287*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3747 divided by 1249\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, -4, 10, 19, 3 in descending order.\nAnswer: 19, 10, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(7 + -21)*-154. Solve -49*l = -60*l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from {m: 1, n: 4, q: 1, t: 1, y: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1 minus -1418.69?\nAnswer: 1419.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*d - 7. What is the third smallest value in d, -11, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 144 and 10644.\nAnswer: 127728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**3 - 3*a + 5. Let y be j(2). Let v = y + 10. Let u(n) = -4 + 1 + 1 + 4*n - v. Determine u(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -0.08 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a + -14?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1946 - -3828. List the prime factors of o.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 4*u - 16 = 0, -k = u - 0*u - 4. Let a(i) = -i**2 - 4*i + 1. Let r be a(-5). Let s be (-6)\/r*(-4)\/6. Sort s, -5, k in decreasing order.\nAnswer: k, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 1519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29\/9 + 28\/9. Let m be ((-4)\/(-5))\/((-22)\/(-5)). Sort w, 1\/4, -2\/15, m.\nAnswer: -2\/15, w, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -685, -692, -699?\n\"Answer: -7*d - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (2852\/217)\/(-46)*-21*20\/(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 100 = 2*v + 40*l, -410280*v - 29 + 3 = -410278*v - 2*l for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-140)\/120)\/(21\/9))\/(2\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18 - -25. Let h(i) = 3*i**2 - 4. Let z(f) = -2. Let n(t) = -h(t) + 3*z(t). Let a(p) = -10*p**2 + p - 7. Give m*n(s) - 2*a(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 56.5 - 56. Let m = -12 - -8. Let x = -1 - m. Which is the closest to 2? (a) o (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**5 + h**4 + h - 2. Let r(q) = 8*q**5 + q**4 - 305*q - 2. Let m(o) = b(o) - r(o). What is the second derivative of m(u) wrt u?\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10362.\nAnswer: 2, 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11125 + 14985. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1791286.\nAnswer: 2, 7, 23, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08*-0.365.\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -2*m - 113, 2*o + 2*m + 25 - 107 = 0. Let y = 4 + -2. Suppose -u + o = y*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 3. Suppose 2*a - 45 = -3*l + n*l, l - 3*a = 20. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 9 - 3 = 0. Let l be (18\/h)\/((-4)\/16). Round l to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 75\/4 and 21\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6395401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -12371\/23, -67, -5\/2?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 64*w**3 - 35*w**3 - 2*w**2 + 2*w**2.\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 1100 (base 3) to base 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16627\/18 + 932. Let f be 2\/(-3)*6\/(-4). Calculate the common denominator of b and 2 - ((-85)\/2)\/f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -92*o**2. Let n(s) = -2309*s - 2. Give n(a(v)).\nAnswer: 212428*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -80*n**2 - 960*n + 150. Let u(g) = 3*g**2 - g. Let m(w) = -5*u(w) - x(w). Solve m(z) = 0 for z.\nAnswer: -15, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/(-3) - (-2)\/(-6). Let g be (65\/(-10))\/(p\/8). Factor 60*x**4 - 28*x**2 + 24*x**5 + 44*x**2 + g*x**5 - 72*x**3.\nAnswer: 2*x**2*(x + 2)*(5*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/103857564 and -107\/1116.\nAnswer: 311572692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be -30 - -39 - ((-6)\/(-2) + 0). Factor -24 + 23*t**3 - 8*t**3 + i*t**3 - 8*t**2 + 41*t**2 - 30*t.\nAnswer: 3*(t - 1)*(t + 2)*(7*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d**2 + 0*d**2 - 6*d**2)*(5*d**3 - 5*d**3 + d**3) - 1 + 1 + d**5 - 5*d**5 + d**5 + 2*d**5 + 32*d**4 - 32*d**4 + 5*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -1257 * 156.\nAnswer: -196092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 92185\/6 not equal to 2221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 1. Let k be -2*2\/(-4) + 0. Let t(c) = 1. Let a(z) = -z + 1. Let j(f) = k*a(f) - 5*t(f). Let m = -3 - -2. What is m*j(i) - 6*d(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 102 = 502. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*s**3 + 0*s**3 + 16*s**3.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 78180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -2937 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11305577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 4) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - 35 - (12 + -8 + -1 + -1 + -5).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate -10792*87.\nAnswer: -938904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -1523*f - 36*f**2 + 3042*f - 1519*f. Let n(a) be the third derivative of -a**5\/60 + 2*a**2. What is d(n(z))?\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5206011 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 80.9 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 201832*y - 330*y**3 - 67281*y + 49*y**3 - 67276*y - 68*y**3 - 67274*y.\nAnswer: -349*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4 - 2) + -1 - (9 + -4). Sort r, 3, 5, 11 in descending order.\nAnswer: 11, 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 40061828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -46, -11, 2, -4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v + y + 1535, -223 = -v - 4*y + 84. What are the prime factors of v?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 206 - 138. Let f be (-4)\/(-18) - v\/(-18). Let h(b) = -b**3 + b**2 + b + 2. Let i be h(2). Solve i = y - 0 - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/99*378\/(-168)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 138*j**3*t**4 - 2*j**3*t - 3283*j**2*t**4 + 6*j*t**2 + 7*j - 309*t**2 + 4*t wrt t.\nAnswer: 3312*j**3*t - 78792*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-1848418)\/(-462) + 3\/((-189)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4*s - q + 46, -12 = -3*s + 3*q. Differentiate -x**3 - 6*x**3 - 6*x**3 + s*x**3 + 1 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.821 rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2348101318.\nAnswer: 2, 1409, 833251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s - 2 + 12 + s)*(-5 + 2 + 5).\nAnswer: -6*s + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/9 - 391\/51. Let f(p) = -p**2 + 8*p - 22. Let k(h) = -4*h**2 + 25*h - 67. Let z(c) = -7*f(c) + 2*k(c). Let d be z(w). Solve -2*q + 3*q = d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - o + 2)*(-3*o**2 + 2*o**2 + 3*o**2)*(-1249*o + 613*o + 481*o) to p*o**2 + t*o**4 + d + b*o**3 + g*o and give t.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -148701 divided by 225\nAnswer: -49567\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5 (b) -622 (c) 5 (d) 4 (e) -0.5 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 12\/((-4)\/5*(-55)\/22). Let h = n + 24. What is the greatest common factor of 330 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -637*i**2. Let g(a) = -3651*a. Calculate g(p(k)).\nAnswer: 2325687*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of j**2*z**2 + 2*j**2*z + j**2 + 122*j*z + 148986*z**2 + 8*z - 412 wrt z.\nAnswer: 2*j**2 + 297972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of -2*t**4 + 74*t**2. Determine a(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c - 1. Let h be g(4). Let a = h + 7. Let v(k) = k + 2. Calculate the smallest common multiple of a and v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4599 + 35174325.\nAnswer: 35178924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -7, 1, 4 in decreasing order.\nAnswer: 4, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -55.6 - 2.4. Let c = 0 - h. Let b = -58.00252 + c. What is b rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -3. Suppose 78336 = -h*i + 678336. Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 + 1)\/((-60)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 11*y + 13*y - 34 + 4*y**2 + 70.\nAnswer: 4*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*d - 9*d - 32. What is the common denominator of d and -25\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of 0*f**3 + 1\/6*f**6 + 0*f**4 + 0*f**5 + 0 - 5\/2*f**2 - 8*f. What is the derivative of z(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8421*c = 8433*c + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174*p + 1 + 7 - 8816*p.\nAnswer: -8990*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 9*h**3 - 13*h**2 - 926*h. Let a(g) = 4*g**3 - 6*g**2 - 465*g. What is -13*a(x) + 6*t(x)?\nAnswer: 2*x**3 + 489*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of s**5\/60 + s**4\/4 + s**3\/6 + 5*s**2. Let t be x(-6). Let u(y) = -5*y - 1 + 3*y + t. Let h(p) = -p. What is u(h(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 116 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*z - 40 = -21*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*v**4*x**3 + 6*v**4*x - 5*v**2*x**3 + 3*v**2*x + 2*v*x**3 wrt v.\nAnswer: -216*v*x**3 + 144*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/11 in -1\/4, -2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 183.694119 + -93.693913. Let t = -90 + h. What is t rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*a + 67*a + 57 - 110 + 54.\nAnswer: 124*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 1045*b - 1042*b = -k + 48, 5*b - 88 = k for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -459, 491, 1377, 2169, 2837, 3351?\nAnswer: 3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 143 - 60. What is the remainder when p is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (10 - -2) + ((-18 - -2) + 16 - 22) + 24\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78075093*o**2 - 78075107*o**2 - o + o.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 35 and 895.\nAnswer: 6265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/4)\/((-2)\/24). Suppose -39*f + 19*f + 100 = 0. Suppose f*i = p*i - 112. Calculate the remainder when 78 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = -5*r - 22, -4*t - 3*r - 60 + 42 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 0 + 7\/84*-4. Which is smaller: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 160615275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11 - -574?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.2 from -21349.\nAnswer: -21349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002053 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*r + 4404 = -44*r. Let f = 653 + r. What are the prime factors of f?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of b**4\/12 - 5*b**3\/9 + 7*b**2\/6 - b + 2. Factor z(p).\nAnswer: (p - 3)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*c + 35*c - 157*c - 30*c + 8844 = 0 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -595 and 45.\nAnswer: -26775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l + 4. Let j be t(-3). Let s(h) = 4*h**2 + h - 1. Let p be s(j). Suppose 3*f = -3*k + 78, p*f + 40 - 139 = -3*k. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 27535, 110160, 247869, 440662?\n\"Answer: 27542*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 7*k**2\/5 - 5384737*k\/5 - 4615494\/5 = 0.\nAnswer: -6\/7, 769249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4 - -1*(-2)\/(-2). Suppose -l - 2 = 0, 5*l + 5 + k = -g. Which is the nearest to g? (a) 3\/5 (b) 0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18 - 22*s**3 - 10*s**2 - 17*s**2 + 20 + 26*s**2 to the form p + w*s**3 + d*s**2 + f*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5362740238 + u**2 - 5362740238.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -221 + 224 + j**2 + j - 11*j**2 to v*j**2 + y + a*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/4023 and 44\/65709?\nAnswer: 197127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**3 - 7*n**2 - 8*n + 4. Let w be p(8). Solve 2*h - 6*f - 4 = -4*f, 0 = -w*h + 5*f + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -279*c + 20. Let g(u) = 837*u - 68. Determine -3*g(r) - 10*v(r).\nAnswer: 279*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 11:38 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 705.5 times 409?\nAnswer: 288549.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 121*g + 876. Let r be d(-6). What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 32. Suppose 26 = -2*u + 16. Let i be (1\/u)\/(-1 - 42\/(-45)). Solve -i*f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(6\/11)\/(o**(1\/10)\/o*o)*(o*o**(1\/8))\/o**(-2\/7) assuming o is positive.\nAnswer: o**(5717\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 5 = 5*w + 10, 3*t + 13 = -w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (91\/14 - 6)\/(-2). What is the nearest to 3 in -1\/6, q, 0.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -166157 less than or equal to -166157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 272*w - 134*w - 227*w to the form o + n*w and give n.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -278645032 take away -812873?\nAnswer: -277832159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94953 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3 + 4)*(1 + 2 - 4)*(2 + 4*a - 2).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4160221200 to the power of 1\/2, to the nearest integer?\nAnswer: 64500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 763 - 5*y**2 - 763.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 2451022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000641609594 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 2*c - 3*o - 21, 2*c = o + 9. Suppose 8 = c*g - 6*g. Is ((-5579)\/(-14))\/(g\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12 - 8. Suppose -3*v + 5*v = y. Solve -5*z - k - 4 + 27 = 0, 0 = -v*k - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -51*l**2 - 3188 wrt l.\nAnswer: -102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51932?\nAnswer: 2, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = 3*f + 21, 29 = 4*f - 9*f + 2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 184145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 0.5 and -81706281.23.\nAnswer: -81706280.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/2*60\/405)\/(1418\/42540)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 163*n - 24445 + 24445.\nAnswer: 163*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/(-3))\/((-19)\/(-9) + -2). Suppose -6*d = -x*d - 78. Is 26 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 284625 is divided by 284604?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -62*d + 68*d + 6. Let o be (1 + 5 + -6)*d. Let c(y) = -y + y - y**3 - y**2. Calculate c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffzhsfqf. Give prob of picking 1 f and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -72 + 177. What is the greatest common divisor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.01563 + 0.0159357. Round z to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 12) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 110055544 not equal to 110055543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 - 1 = 3*y. Let o(p) be the second derivative of p**5\/20 - 5*p**4\/4 - p**3\/6 + 19*p**2\/2 - 41*p. Calculate the remainder when o(15) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t - 3 + 21 = 0. Is t smaller than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 357281596 is divided by 157?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -357*i + 443*i - 1446 + 2905 = -5593 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**2 - 5*t - 5. Let g be n(5). Let l = 70 - -19. Let r = l - 83. Which is the biggest value? (a) r (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1c772 (base 15) to base 13\nAnswer: -33320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -2*m**3 - 11*m**2 + 9*m + 44. What is t(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + -1. Let r = q + 3. Find the first derivative of 0 + 0 + 2 - m**r wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -74, 3688, 9984, 18820, 30202, 44136?\n\"Answer: g**3 + 1261*g**2 - 28*g - 1308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**2 - 19*x - 75. Let k be q(-6). Suppose 0 = -2*c + 3*c - 4*b - 15, 0 = k*c + 5*b + 23. Sort c, -26, 2\/15 in increasing order.\nAnswer: -26, c, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 78761 and 373558790?\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 6:45 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 234 - 229. Solve -4 = f*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*j - 54 = -6*u, 5*j = 3*u - 26. Suppose -u = -6*p + 4*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -114? (a) 0.1 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/4 + 5\/10. Let z = -35 - -34. Which is the nearest to -3\/7? (a) l (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - -1) + (-142 - -188) - (-2 + 11 - 19)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/15)*x*x)\/x**(-10)*(((x*x**24*x)\/x)\/x)**(1\/12) assuming x is positive.\nAnswer: x**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -3*u**5\/4 - 15*u**4\/4 - 9*u**3\/4 + 27*u**2\/4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6 + -0.8342\nAnswer: -6.8342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 8880 = 509*r - 355*r - 394*r for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 122 divide 8174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 63\/5*q + 3\/5*q**2 - 3*q**3 + 3\/5*q**4 - 54\/5 = 0 for q.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8597596089 to the nearest integer?\nAnswer: 92723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-20)\/15*36\/64*10\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/15*(-320 - -350).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 0 = 5. Let r be (-5)\/((-124)\/48 + 24\/18). Put v, r, 1, -6 in increasing order.\nAnswer: -6, 1, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes before 10:10 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -13*l**2 + 287*l - 7. Let w be b(22). Solve 5*z + 6*a - 11 = 4*a, -w = -3*z + 3*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7879\/145 - 265\/29. Let t = -45 + y. Let u be 3*(-1)\/108 - 8\/36. What is the nearest to -1\/2 in u, t, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -512 (base 8) to base 6.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/11, 364, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -304 + 2114402?\nAnswer: 2114043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Convert -139682 (base 11) to base 7.\nAnswer: -1564616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 980 = j + 4*j. Suppose 0 = -k + 2*k - j. Suppose -k = -3*z - 52. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -152154648 divided by 8.\nAnswer: -19019331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be (64\/24 + -2)\/(1\/(-3)). Let c = 21 + -15. Does 20 divide 171\/c + 3\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -131, 225, 3 in descending order.\nAnswer: 225, 5, 3, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72122000 - 72122000 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 14 = 2*v. Let h = 7 - v. Let f(u) = u + 8. What is the units digit of f(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -189*b**2 + 578*b**2 - 190*b**2 - 192*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 135421951*l**2 - 79178*l - 1299?\nAnswer: 270843902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 156*l + 7952. What is k(-55)?\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3996246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(-6) - 1026\/12. Let x = o - -32. Let g = -28 - x. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 2:43 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 1676*a - 705. Is o(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -1) + (-4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5115 and 62774690?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 12:19 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 443208826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(sqrt(11) + sqrt(1100)*2) + (sqrt(7) + 5 + (sqrt(14)\/sqrt(2))**2 - (sqrt(7) + sqrt(112)*-4)**2).\nAnswer: -1563 + 22*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that u**5\/4 + 13*u**4\/2 + 79*u**3\/2 - 44*u**2 - 999*u\/4 + 495\/2 = 0.\nAnswer: -15, -11, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 12227, -3, 8, 1, -2, 5 in descending order.\nAnswer: 12227, 8, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 294195 is divided by 98053.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.6257 centimeters to meters.\nAnswer: 0.026257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50 - 50 - 20*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, 9, 4\/145, 0.151 in decreasing order.\nAnswer: 9, 0.151, 4\/145, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 564, 5, -2, 76 in increasing order.\nAnswer: -2, 5, 76, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2983026509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from frufboffrourrbrojfrr. Give prob of sequence rjof.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*j - 8*i = 33*j - 31, 3*i = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8\/1457 (b) -2 (c) 5\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r + 1. Let i be j(2). Suppose 0*n = -2*n - s + 1, -3*n + i = s. What is the remainder when 0 + (-29)\/(-3 + n) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 615*c**3 - 2*c**2 + 3. Let q(y) = -1848*y**3 + 10*y**2 - 8. What is 8*i(j) + 3*q(j)?\nAnswer: -624*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -3*i. Let g(l) = 1025*l + 46. Let k(m) = 168*m + 8. Let c(j) = 3*g(j) - 17*k(j). What is c(t(o))?\nAnswer: -657*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2.49 * 0.06\nAnswer: 0.1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o = -4*x + 3*o + 435, 4*x - 5*o = 445. Suppose -6*d - x = -428. Let a = 105\/2 - d. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-18))\/(r*r**(-17)\/r*r)*r\/r**(-11\/2)*r**(-2\/31)\/r assuming r is positive.\nAnswer: r**(2507\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 611 + -608. Which is the fourth smallest value? (a) -1 (b) j (c) 1\/14 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/7 (b) -2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of p**7\/360 + 7*p**5\/120 - p**4\/12 - p. Let f(x) be the third derivative of u(x). Differentiate f(j) wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r*r**(-10))**(1\/24)*(r\/((r\/(r*(r\/(r*r**2))\/r*r)*r)\/r))**(-4\/5) assuming r is positive.\nAnswer: r**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4915 - 4918. Which is the fifth smallest value? (a) 2\/11 (b) -0.29 (c) r (d) -2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = 17 + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3413, -2982, -2551, -2120?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-332*m - 114*m + 34*m)*(-135 - 19*m**2 + 135) - 2*m**3 - m**3 - 2*m**3 in the form d*m + y*m**3 + t + u*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 167842183*q**3 - 98860989*q**2 - q.\nAnswer: 1007053098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/1568 and 61\/556.\nAnswer: 217952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 2*i - 253 = 357, 139 = t - 5*i. Suppose -2*s + t = -16. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 147915 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7087 + 7083. Let n be 10*(1 - (-7)\/(-5)). Let l be 5\/13*n\/10. What is the second biggest value in -0.3, i, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9104 at most -9103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 3, t: 3, s: 4, q: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 + (3 - 6))*(-1 - -2). Suppose 4*o = -u*o. Suppose f + 18 - 26 = o. Calculate the greatest common factor of f and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 4*k**2 - 7*k + 14. Calculate the remainder when q(3) is divided by 5\/(1\/(-2)*-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 205092796 divided by -1.\nAnswer: -205092796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 9, x: 11}. Give prob of sequence xxlx.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 99116*w**3\/5 + 118932*w**2 + 891828*w\/5 - 324\/5 = 0. Calculate w.\nAnswer: -3, 9\/24779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1983 + -1983. Solve -5*x + 15 = 5*j, 5*x + c*j = j - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 255\/(-255) - ((-186)\/30 - -6 - 7*1)\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 7:57 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-6 - (-136)\/24)*18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 - 4555*b + 40957. Give q(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -6 + -1 + 1 + (1327 - 4).\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 - 4\/6)*21. Let v(r) = -15*r + 1. Let j be v(-4). Suppose -114 - j = -5*o. Calculate the greatest common factor of o and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -47*s + 39. Let i be n(-3). Let g = i - -18. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 13 = -4. Suppose 2*t = 5*f - 2 - 8, 0 = f. Calculate the remainder when (-12)\/t*(-100)\/(-8) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 582 and 5.\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10480663 or 10480707?\nAnswer: 10480663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 15, -4, -6, 268, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/((-3)\/(-31)))\/(9\/(-54)). Let x = k + -62. Solve 5*h + 10 + 15 = x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28494456 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -9*j + 1. Let c(s) = -26*s + 2. Let h(l) = 4*c(l) - 11*t(l). Calculate the remainder when h(-5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-5)\/(-10)*3*2\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -0.0101?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 65945 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: Let t(r) = r**3 - 4*r**2 - 12*r - 2. Let h be t(6). Let j = 8 - 8. What is the nearest to j in 2\/7, h, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 105.61 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 60292125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -1062833*x. Let t(d) = -3*d. What is t(v(h))?\nAnswer: 3188499*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -308039853471 and -339?\nAnswer: 308039853132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-24)\/4)\/((-6)\/(-4)). Let z(r) = -r**3 - 5*r**2 + r + 2. Let w be z(n). Let l = 34 + w. Solve 5*m - l = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 875050165221 and 0.02.\nAnswer: 875050165221.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of -319\/6*m**3 + 0*m - 19*m**2 - 31\/40*m**6 + 0*m**4 - 1\/60*m**5 + 0. What is the first derivative of n(i) wrt i?\nAnswer: -279*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + n - 60. Let a = 50 + n. Suppose -i = i - a. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-1.01413\nAnswer: 0.507065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 15, 2\/95, 391?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of 0*i**4 + 0*i + 0 - i**2 + 1\/60*i**5 + 0*i**3. Let p(c) = 4*c**2. What is d(p(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -271, 4, 0, -1, -39 in decreasing order.\nAnswer: 4, 0, -1, -39, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(1100)*1 - sqrt(1100))*6 + 0 + sqrt(1100) + -2 + sqrt(1100) + -3)**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 10:03 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**3 + 9*a**2 + 7*a - 5. Suppose 0 = -3*t - 5*w - 29, -4*t - 5*w - 4 - 33 = 0. Let i be y(t). Let v(r) = r - 3. Calculate v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p - 5*p + 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 53?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 506129 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 - 7*h**2 - 4*h + 22. Calculate b(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110*y**3 - 499*y**3 - 626*y**3 + 48*y**3.\nAnswer: -967*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 - -6. Let z = 6 + -6.1. What is the nearest to 1\/3 in k, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.05 + -3.45. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 86*a*y**4 - 9510*a + 37*y**2 - 1 with respect to y.\nAnswer: 344*a*y**3 + 74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44\/10 - (-3 - (-132)\/22)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 63546923 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -4713*(2 + (-49)\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 + 182*d + 14559. Calculate m(-58).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*o - 4. Let y be o - (-1 + (7 - 1)). Let d(k) = 2*k**3 + 2*k**2 - 6*k. Let z(g) = g**3 - g. Calculate y*z(q) + d(q).\nAnswer: -2*q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 6*n. Let y(j) = -5*j + 2*j - 2*j. Give 6*m(f) + 7*y(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -87160 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 526 divided by -183998?\nAnswer: -263\/91999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1147857 is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + h = -9, 2*h + 19 = 4*n + 3*h. What is the remainder when (2\/4)\/(2\/56) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + (4 + -2 - -5 - 2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -3*z**2 + 39*z - 8. Let g be b(12). Let v(p) = -1 + 27*p**3 + 2 - 4*p + 6*p**2 - g*p**3 + 4*p**2. What is the hundreds digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -14, 5, 249 in descending order.\nAnswer: 249, 5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -54398, -54400, -54402, -54404, -54406?\nAnswer: -54408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 3) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -39 or -189\/5?\nAnswer: -189\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*u - 4*r + 6*r = 25*u + 106, 5*u + 4*r = -113 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2249*j**3 - 3*j - 2254*j**3 + 3 + 2*j**4 + 0*j + j + 3*j**2 to the form r*j + h*j**2 + p*j**4 + q + x*j**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 6482ce (base 16) to base 14\nAnswer: c36782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 5)*((-1 + 2 + 0)*(0*o + o - 2*o) - o + o - o) + o + 0*o + o + o - 5*o + 3*o + (-1 + 1 - o)*(4 - 2 + 0) - o - 7*o - o + 1 + 3*o - 1.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/5282487 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 805040 and 34214200?\nAnswer: 68428400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 106 by 34171.\nAnswer: 106\/34171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3463941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -244866, -489718, -734568, -979416, -1224262?\nAnswer: -1469106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 2*n - 4 = 6*n, 2*l = n + 10. Suppose 5*d + 25 = 2*j + 3*j, 4*j + 5*d - 20 = 0. Solve j*f - 15 = -a, -3*f + a = -l*f + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11033 and 272580?\nAnswer: 4633860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 + 69*s**2 + 532*s - 65. Calculate k(76).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 614088 and 576.\nAnswer: 4912704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 - 20*w**2 - 20*w - 11. What is the smallest common multiple of n(-19) and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 868327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 26*j - 16 = 24*j, -104 = 62*p + 4*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (((-8)\/6)\/(8\/24))\/2. Calculate the common denominator of z\/21*((-38)\/4 + 2) and -64\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 - 6*j**2 + 30*j + 33. Determine x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/28 + 32\/14. Suppose -3*m + 3 = 4*o - y, -5*o - 20 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1280 is divided by 128.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 7 + 3)*(-207*n**2 + 11576*n - 11576*n) + 4*n**2 + 3*n**2 + 3*n**2.\nAnswer: 424*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1618 + 3221 - 2*o + o - 1603 + 2*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -f**2\/2 - 3. Let l(j) = 3*j**2 - 2*j**2 + j**2. Determine l(t(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.08, -0.5, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.6+-932663775\nAnswer: -932663775.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-12)*-22 + 1 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 12:34 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2594306738.\nAnswer: 2, 1103, 1176023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 9730790 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3153*z**3 - 31 - 3162*z**3 - 40 + 85.\nAnswer: -9*z**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 6*i + 2 = 0, -2608*n + 2606*n - 3*i - 10 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 41758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -173*u - 168*u = -320*u - 84 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = v + u, 3*v + 3*u + 41 = 2*u. Let z be (4\/(-6))\/((39\/45)\/v). Solve z = 3*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11221 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 19 - 11 + s - 7 + s**2. Let n(h) = 2*h**2 - 4*h - 14. Let g(o) = n(o) + 4*t(o). What is the derivative of g(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9136, 10039, 10942?\nAnswer: 11845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/720 and 133\/128760.\nAnswer: 772560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 234324 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -5*d + 11. Let n(c) = -c + 0*c - 2 + 2*c. Suppose 5*k - 33 = -4*u, -3*k = -2*u - u - 9. Determine u*q(r) + 11*n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**2 - 13*c + 4. Suppose 5*k - t + 54 = t, 2*t - 6 = k. Let l be a(k). Suppose -p - p = -n + l, 3*n = 2*p + 36. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**2 - 5*m**2 - 36 + 0*m**2 + 5*m**2 to the form h*m**2 + f + p*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(342)*2)\/sqrt(6) - ((sqrt(684)*2 - sqrt(684)) + sqrt(684) + sqrt(684))\/sqrt(12))\/(sqrt(300) + (sqrt(300) - sqrt(300)*-1) - (-1*sqrt(9))\/sqrt(3)).\nAnswer: -sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -2*v**4\/13 + 1252*v**3\/13 + 3774*v**2\/13 = 0.\nAnswer: -3, 0, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/4146 and -11\/36648.\nAnswer: 25323768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 - -1. Suppose -s - 4*r - 14 = 0, 1 = s - 0*r - r. Let b(n) = n - 1. Let p(d) = -d + 4. Calculate m*p(g) + s*b(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 3*z = 7*z - 2060, 2*b = z + 837. Calculate the remainder when b is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 753 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2, -20, 0, -1\/12, -1\/11, 4, -68\/21?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -5*a + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11940.79 - 11941. What is the smallest value in 1\/40, s, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -32\/11 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 788.\nAnswer: -315.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3324 + -44?\nAnswer: -3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**1\/l*l)**(34\/3))**(-1)*(((l**(1\/3)\/l)\/l)\/l)**24*((l**(-1\/4)\/l)\/l)**(-33) assuming l is positive.\nAnswer: l**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/((b\/(b\/(b\/((b**(5\/9)*b)\/b))))\/b)))**1\/(b**9)**20 assuming b is positive.\nAnswer: b**(-1625\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 - 4*d**2 + d + 7. What is m(-4)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7182998 is divided by 598582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/80*(-10)\/8*2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ipcc when four letters picked without replacement from {p: 1, c: 8, t: 7, i: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**3 - 8*l**2 + 4*l - 13. Suppose f - s + 19 - 6 = 0, f + 5*s - 11 = 0. List the prime factors of u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(2\/9)\/l**12*l*l*l**(-2)*l*l*((l**4\/l*l)\/l)\/l*l assuming l is positive.\nAnswer: l**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 14 = 40. Let j be (-81)\/k*2\/21. Let w = -78 - -236\/3. Which is the third biggest value? (a) w (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 13*g**2 - 10*g - 8. Let d be n(-1). Suppose 0 = 3*m + 5*w - d, 0 = -m + 2*w + 3 + 2. Solve 4*u = -m + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -804739 divided by -1339?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -480 = -120*u + 60*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*c + 2*c - 8*c)*(2*c**2 - 3 + 3)*(4 + 4*c - 4).\nAnswer: -112*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**4 - 122*w**3 - 252*w**2.\nAnswer: 2*w**2*(w - 63)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 236\/(-182) + 2032\/1778?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - 0)\/(1\/13). Let z be (2 + 0)*2*(-10)\/4. Let m(t) = -t**3 - 12*t**2 - 19*t + 12. Let d be m(z). Solve 3*f = -q - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**0*g)\/g)**4)**35*g*(g\/(g**(5\/6)*g))\/g*g*g**6*(g**(-1))**36 assuming g is positive.\nAnswer: g**(-179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 - 3. Let g = i - 3. Let s = 12 - 13. What is the smallest value in g, s, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18592*x**4 + 18597*x**4 - 1108*x + 14*x**2 - 37185*x**4 wrt x?\nAnswer: 48*x**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 - 3*p + 3. Let v(r) = r**3 + 6*r**2 + 4*r - 7. Calculate the remainder when v(-4) is divided by m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2. Let u(d) = -23*d**2 - 2*d. Calculate -2*i(q) - u(q).\nAnswer: 25*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 92*q - 46. Let t(p) = -16*p + 8. Let a(h) = -6*d(h) - 34*t(h). Let i(u) be the first derivative of -1\/2*u**2 + 1 + u. Calculate a(n) - 6*i(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 698 is divided by 89.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1546815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 195\/30 - 1\/2. Differentiate -3*s**2 - h*s**2 - 1 - 1 - 5 with respect to s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47*b**2 + 9*b**2 + b**4 - 56*b**2 - b + 13 - 18*b**3 to t + r*b + j*b**3 + y*b**2 + w*b**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -2 - (-56)\/((-24)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78) + (-2*sqrt(78) - sqrt(78))*-1 + (sqrt(78) - (sqrt(78) + 1*(-1*sqrt(78) + sqrt(78)) + sqrt(78))))\/((sqrt(540)*-1)\/sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 4:55 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 4*m - 2 = 0, 3*i = -5*m + 2 + 5. Let z(b) = b + 5. Let j be z(-8). Let g = i - j. Which is bigger: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 11) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*j + 14 = 0. Let q(u) = 8*u - 7. Let y(k) = 2*k - 3*k - 6 + 2*k + 6*k. Give j*y(w) - 6*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2704 + -1395. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + -1*2*(-38)\/(-38)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2654588659 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -106 (base 7) to base 2\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 859, 841, 827, 823, 835, 869, 931?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 3, d: 10, l: 2}. Give prob of picking 1 d and 3 t.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3455*g**4*x + 1336*g**2*x - 23521*g + 289*x wrt g.\nAnswer: 41460*g**2*x + 2672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(2*(sqrt(110) + (sqrt(110)*-3 - sqrt(110))) + sqrt(110)*-3*-6 + sqrt(110))\/(sqrt(1000) + 1*sqrt(1000)*2 + sqrt(1000) + sqrt(1000)).\nAnswer: -26*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 72003 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -975179.316 + 645.\nAnswer: -974534.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -9080248 divided by 1\nAnswer: -9080248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*i - i. Suppose i*v - 120 = -0*v. Suppose -4*b - v + 98 = 4*x, -5*x + 20 = 0. What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46830589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of -k**6\/480 + 38*k**2. Factor q(y).\nAnswer: -y**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 548\/13, -2.86?\nAnswer: 548\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6237.7 - 6238. Sort s, 3\/2, -9, -3\/8, 4.\nAnswer: -9, -3\/8, s, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 3*p**3 - 15*p + 88*p**2 - 74*p**2 + 3*p**3 - 5*p**3. Let j be s(-15). Solve 2*y - 6*y = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8883754.\nAnswer: 2, 11, 19, 53, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(5))**2 + -3 + -2 - ((sqrt(180)\/sqrt(4))\/sqrt(3) - sqrt(15) - sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -26*t + 33. Let r be f(18). Let m be (-10)\/30 + r\/(-9). Suppose -z = -6*z + 15, 2*p + 4*z = m. Calculate the remainder when 71 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -2 - 2191.63\nAnswer: -2193.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 44 + -40. Is 1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 9*j**3 - 4*j**3 - 29*j - 40*j**2 + 25*j + 43*j + 41*j = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -9 (b) -2 (c) 0.8 (d) -0.0673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/1302 and -50\/49.\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 2\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 754 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (27 - 35) + -22 - (1 - (-5 + 2) - 11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pn when two letters picked without replacement from {e: 3, j: 2, v: 1, p: 1, s: 1, n: 10}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(200)\/(sqrt(40)\/(sqrt(10) + sqrt(90)\/sqrt(9)) + sqrt(4)) + -4 + -1 + sqrt(450) + 4 + 4.\nAnswer: 3 + 55*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a**5 + 860*a**4 + 30748*a**3 + 294404*a**2 + 526528*a - 852544 = 0.\nAnswer: -173, -28, -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -127936159 or -127936163?\nAnswer: -127936159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -31771835, -31771831, -31771825, -31771817, -31771807?\n\"Answer: y**2 + y - 31771837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1530.815241 rounded to the nearest 10?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and -25600439?\nAnswer: 10240175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3752 and 19028?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 6257, 70766, 245879, 586898, 1149125, 1987862, 3158411, 4716074?\n\"Answer: 9217*u**3 - 10*u - 2950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.37 - 0.37. Let f be 24\/27*4\/((-24)\/9). Which is the biggest value? (a) -14 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of 1696*n**3\/3 - 117. Let d(l) = -l**2. Give d(t(z)).\nAnswer: -2876416*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s, 1 o, and 1 f when four letters picked without replacement from gfsszoz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8443027?\nAnswer: 2161, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -53423.6202 rounded to the nearest one hundred?\nAnswer: -53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-1262)\/(-11989))\/((-14)\/38)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3036 = -5*h + 3*u, 2*h + h = -4*u + 1810. Suppose 4*g - 14*a + 19*a = 1190, 2*g = 3*a + h. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/7, -0.09, 2\/9, 1\/2, 82?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-22)\/3 + 15\/45. Let s = 28 + o. Suppose v + 2*v = 9. What is the greatest common divisor of s and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/((-1)\/(-3) + 68\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 - (62 - 30 - 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 24 = -5*x, -2271*x - 18 = -5*d - 2273*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10563768 is divided by 132.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 500758.56 minutes to days.\nAnswer: 347.749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10175.027 - -7.973. Let k = b + -10184.1694. Let v = -1.16 - k. Round v to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2\/3 + 1144262*n\/3 + 2288548.\nAnswer: -2*(n - 572137)*(n + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(2\/3)\/k*k)**21)**(-1\/65))**(2\/27) assuming k is positive.\nAnswer: k**(-14\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 6.3. Let q = 84696\/13 - 6522. Let b = q + 411\/65. What is the nearest to 0 in -4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*b + b + b)*(-1 - 4 + 2)*(50 + 2 - 8) as s*b + g and give s.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 77*h + 32*h - 106*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 4*z**2 - 9 + 10*z**2 - 9*z**2 - 16*z + 2*z**3. Let r be a(6). Suppose 14*q - r = 1929. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1756 and 3845201.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes before 10:48 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**2 - s**3 + 3*s**2)*(-165 + 18 - 31).\nAnswer: 178*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0763608 and 4.\nAnswer: -0.3054432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence txxx when four letters picked without replacement from {x: 3, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/1 - (-5 - -3). Suppose -2*i + 3*b - 4 = p*i, 2 = 3*i - b. Let y = -4 - -9. What is the nearest to -2 in i, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4444532 (base 6) to base 10\nAnswer: 223976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -25\/3, -0.03, -4, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*n + 231\/4 + 1\/4*n**2.\nAnswer: (n + 7)*(n + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 70 (b) -3 (c) 1\/9 (d) -6 (e) 0.1 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 1, r: 2, e: 3, m: 9, h: 2}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -108935, -435011, -978471, -1739315?\nAnswer: -2717543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14155 + -6175. Suppose -y - 4*v + w = 0, -2*v = -5*v - 15. Round y to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7399 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 313002012?\nAnswer: -313002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -20*w - 4*w + 2 + 4*w + 5 - 1. Let d = 2 - -4. Let s(q) = 7*q - 2. Give d*l(k) + 17*s(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**0*z)\/(z\/(z*(z\/(z*z*z\/z**(-7)*z*z)*z)\/z)))**(38\/5)*(z**(-4)*z**4)\/((z\/(z*z**(-2\/5)))\/(((z\/z**(-2))\/z)\/z)) assuming z is positive.\nAnswer: z**(-377\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -62, -124, -186?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2 (c) 4\/5 (d) -79 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22 and 44011.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -3*s. Let y(d) = 437*d**2 + 4. Let i(n) = -423*n**2 - 3. Let o(m) = -4*i(m) - 3*y(m). Calculate o(q(g)).\nAnswer: 3429*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + 3*a - 485, -3*a + 2*a + 965 = 4*x. Suppose 4*s - 1109 = -s + i, -5*i - x = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 253 (b) 1 (c) 5\/11 (d) 0.13 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of k**4\/4 - 6*k**3 - 17*k**2\/2 - 19*k - 209. Suppose 5*y - y - 76 = 0. List the prime factors of f(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -208 by 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 5410, 6117, 6822, 7525, 8226, 8925?\n\"Answer: -p**2 + 710*p + 4701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21485640 and 369?\nAnswer: 64456920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = 2*d - 10*q + 14*q, 4*q = 12. Calculate the highest common divisor of d and 2790.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 263126 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.2 - 0.2. Suppose 1585*g = 1587*g + 4. What is the smallest value in g, 0.1, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l. Let w(f) = -16067*f**2. Calculate p(w(h)).\nAnswer: -16067*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 9:09 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 AM and 2:03 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 355\/3 or -49974?\nAnswer: 355\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -379219*j. Let c(q) = q**2. Determine i(c(b)).\nAnswer: -379219*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -5*p + w, 2*p + 5*w = 3 + 13. Solve -p*x - 3 = 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**3 - 8*o**2 + 6*o + 8. What is b(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + -1111?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32566 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -57 = -3*y - 4*c, 0 = 1139*y - 1137*y + c - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 0.04 (c) 0.2 (d) 325 (e) 11 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1b + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 17*l - 72. What is m(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -75 - -81. Suppose 18 - v = 3*n. Suppose 1375 = -n*o + 15*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 35 - 15 = 0. Let n(v) = -28*v + 6. Let g be n(-3). Suppose -6 = l*k - g. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**0*s*s**3*s)**(-18\/7) assuming s is positive.\nAnswer: s**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 461 a factor of 485219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -630 = -133*z - 805 - 1421 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -380\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -14*m - 12*m - 38*m as k + h*m and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 60 = 4*i. What is the remainder when 42 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(720) + 2 - (sqrt(720) + -1 - sqrt(720))**2*-4) + (sqrt(720)*2 + -4 - (((sqrt(720) + -1)*3)**2 - sqrt(720))).\nAnswer: -6487 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 + y - 1. Let f(j) = -18*j**2 + 15*j - 15. Determine f(q) - 15*h(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2061 - 2059. Suppose 4*v + v = 25. Suppose 4*g - v*g = 2*u - 781, 3*u - 1565 = -x*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -527556, -528110, -528660, -529206, -529748, -530286, -530820?\n\"Answer: 2*v**2 - 560*v - 526998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 3*y - 36, 46 - 1 = 5*y - 2*u. Suppose j = 3*w - 7, y*w - 5*j = 9*w - 33. Factor 0*c + 0 + 0*c**2 + 2\/7*c**w - 2\/7*c**5 + 0*c**3.\nAnswer: -2*c**4*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 13 - 4 - 12 + 3*p + (2 - 2 + 1)*(-p - p + 0*p) + 2*p + 4*p - 3*p + 3*p - 2 + 2.\nAnswer: 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2012 - 2011.97898. Round f to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -756 by -9.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes after 7:29 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11 + 34*t + 10 + 25 wrt t?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 86 + 31 = -5*t, -t + 23 = 4*g. Put g, -3, -7, 137 in descending order.\nAnswer: 137, g, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.11 - 0.43. Let i = -0.3 - w. Let u = i + 1.98. Which is the second biggest value? (a) u (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -719 (base 15) to base 3\nAnswer: -2012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y - 1. Let r be u(-3). Let i(g) = 2*g**2 + 4*g - 3. Is 7 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*f + 474*f - 6110 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -2*o**2. Let l(i) = -2*i. Let t(s) be the first derivative of -s**2 + 2. Suppose -5*q = -2*q - 18. Let c(k) = q*t(k) - 5*l(k). Determine c(m(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -161 and 320 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 1 + 3 + 2*u + 1 - 3*u. Let i be s(12). Is i equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 9*y**3 + 3*y**2 - 2*y - 5. Suppose -20 = -q + 5*x, 25*x = 20*x - 25. Let f(b) = 9*b**3 + 3*b**2 - 2*b - 4. What is q*f(a) + 4*o(a)?\nAnswer: -9*a**3 - 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*(a\/a**(-17))\/a)**(1\/4) assuming a is positive.\nAnswer: a**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2208*s - 4*v + 20 = 2207*s, -5*s + 10 = 2*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 25*h**4 - 7*h**3 + 3*h**2 + 44. Let u(j) = 26*j**4 - 9*j**3 + 4*j**2 + 42. Let o(w) = 4*m(w) - 3*u(w). Differentiate o(g) with respect to g.\nAnswer: 88*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:16 AM and 3:09 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + 22\/18 + 148\/(-666). Factor -2\/9*x**5 + 0*x + 0*x**2 + n + 2\/9*x**3 + 0*x**4.\nAnswer: -2*x**3*(x - 1)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hfhrfhrh. Give prob of picking 2 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*b**4 - 36*b**2 + 3*b**4 - 3 + 33*b**2 to the form i*b**2 + x*b**4 + s*b + p + m*b**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 38.1 + -38. Suppose l - 3*p + 201 = 5*l, -2*l + 133 = -5*p. Let c be 72\/l + (1 - 1). Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*c**3 + 4*c**4 - 2*c**4 - c**4 + 2 - 2*c**4 in the form h*c**3 + y + v*c**4 + s*c + a*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3*(1\/(-3))\/((-17)\/(-459)). Suppose 4*r - 239 = 949. What is the highest common factor of r and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0371 plus -32672?\nAnswer: -32671.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 37807*0.1\nAnswer: 3780.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -104328 divided by -8?\nAnswer: 13041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -4*n**2 - 2*n - 9. Let s(g) = g**2 + g + 1. Let y(m) = -o(m) - 3*s(m). What is the units digit of y(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(539) + 0 - ((sqrt(132) - (sqrt(132)*1 + sqrt(132)))\/sqrt(12))**2) + ((sqrt(396) - (sqrt(396) + -2 - sqrt(396))) + 5 - sqrt(396))**2.\nAnswer: 7*sqrt(11) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kppkkpkkkkkkpk. Give prob of picking 2 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 7523 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 1:23 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/5)\/(12\/(-150)). Suppose 7*z = 2*z - b. Let q(g) = 4*g**2 + 2*g. Calculate the lowest common multiple of 20 and q(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*x**3 - 92*x**3 - 13*x**3 + (2*x + 2 - 2)*(-x - 2*x**2 + x).\nAnswer: -113*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j - 6. Let y be u(-5). Let m = y - 1. Suppose -m*o + 12 + 12 = 0. Calculate the smallest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 6444, 12883, 19318, 25749?\n\"Answer: -2*q**2 + 6445*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 95416903201\/10142184504 + -149\/3790054. Let b = -22\/669 + z. Which is greater: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 + 8. Let y be ((1 - -1) + -3)*-3. What is the highest common divisor of q and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-68)\/(-2)*1\/2. Suppose 228 = -420*a + 432*a. Which is greater: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 228 - -281. What are the prime factors of y?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l + 3*l - l**2 + (3*l + l + l)*(-1 + 1 - 3*l) - 2*l**2 - 3*l**2 + 4*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4591 + -4596. Sort 5, c, 0, -10 in increasing order.\nAnswer: -10, c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 2*m**2 - 2*m - 2. Let t(l) = -l**3 + 3*l**2 - 2*l + 4. Let n be t(3). Determine p(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 46696, 93299, 139902?\n\"Answer: 46603*m + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 130 - 129.87. Is i less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12656 and 12777136?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28747.97 + 28762. What is l rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 621896 and 1084?\nAnswer: 168533816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = 18*z - 13*z - 3*f, -12*z - 3*f + 30 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + (sqrt(98) - ((sqrt(98) - (sqrt(98)*-2 - sqrt(98))) + sqrt(98))) - (sqrt(98) + -2*sqrt(98))*5) + -5*3*(sqrt(98) - (sqrt(98)*1 - sqrt(98))))**2.\nAnswer: -392*sqrt(2) + 19212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddyypyyypddpddp. What is prob of picking 3 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 8*n**2 + 8*n + 5. Calculate h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 25 - (27 - (11 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, w: 17}. Give prob of sequence ee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**5)\/i)\/i**9)**(2\/69) assuming i is positive.\nAnswer: i**(-8\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 5*g - 4. Let m be j(-11). Let s = -21 - m. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 277, 3 in descending order.\nAnswer: 277, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 5*j - 153750, -5*v + 4*v = 4*j - 30785. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-15) + (-1)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 4147 divide 1423685835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -637 - -689 - (3 + 68).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -119, 183, 487, 793, 1101, 1411, 1723?\n\"Answer: n**2 + 299*n - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -67*f**8\/8 + f**6\/15 - f**5\/20 + 9433*f**4\/12 + 112*f - 9. What is the third derivative of z(m) wrt m?\nAnswer: -56280*m**3 + 48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -31520054893 and 0.5?\nAnswer: 31520054893.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, f: 3, q: 2}. Give prob of picking 3 f.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -128*h**5\/9 - 1018*h**4\/9 + 944*h**3\/9 + 6358*h**2\/9 - 716*h + 32 = 0.\nAnswer: -8, -3, 3\/64, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from ubrbubbr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x**2 - 10*x - 4. Let z be n(-4). Find the third derivative of 17*i**z - 47*i**4 - 6*i**4 + i**6 + 0*i**6 - 186*i**2 - 5*i**6 wrt i.\nAnswer: -480*i**3 - 864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35)\/(-1) + (-92629)\/633 + 127.\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 6*d + 24. Let x = 23 + d. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wio when three letters picked without replacement from {i: 2, w: 11, o: 2}?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -581263507*u + 739128861 wrt u.\nAnswer: -581263507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3, 29, 109, 261, 509, 877, 1389?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/156*47 - 44\/(-286)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r. Let y(o) = -2679*o**2 + 2*o + 26. Let v(i) = 10715*i**2 - 9*i - 117. Let d(z) = 2*v(z) + 9*y(z). Calculate d(k(q)).\nAnswer: -10724*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 19.77138 millilitres in litres?\nAnswer: 0.01977138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1633 != -1637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -40931, -41077, -41223, -41369, -41515, -41661?\n\"Answer: -146*c - 40785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 15) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -5*z**2 - 41*z - 3. Give c(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 13*p**2 + 11*p - 9. Let o be d(-12). Let y(n) = -2*n**2 - 3*n - 1. Let l(z) = -2*z**2 - 4*z - 1. Give o*y(w) - 2*l(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -53*v + 122. List the prime factors of c(-10).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 5*x**2 - x. Let h be l(1). Let p(f) = -f**3 - 14*f**2 - 7*f + 79. Let b be p(-13). Solve u + h = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.2746153 - 0.665.\nAnswer: 0.6096153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 338*g**3 + 82*g**2 + 10*g + 1. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -133 divided by -6.\nAnswer: 133\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 35947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of x**4\/3 + 58*x - 2. Let d(f) = 2*f + 2. What is q(d(m))?\nAnswer: 16*m**2 + 32*m + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -1, -1\/239, 15677.\nAnswer: -1, -1\/239, 1\/5, 15677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 100 = 13*r - 9*r, 96 = -4*r + 4*g. Suppose 3*j - 6*j = -9. Let q(w) = -2*w**2 - 2*w + 5. Let a be q(j). Which is greater: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - -3. Suppose -75 = -10*i + q*i. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 27*t**2. Let h(o) = 22*o**2 + 18560 - 18560. Calculate h(z(y)).\nAnswer: 16038*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -4*y**5 - 188*y**4 - 2112*y**3 + 2304*y**2 = 0.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = s - 11, -2*q - 24 = s - 6*q. What is the remainder when 2 is divided by (-33)\/(-22)*s\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.8 in -4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31984772?\nAnswer: 2, 7996193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 22 and 11877778.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -13. Let o = 9 - v. What is the smallest common multiple of o and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -4*r, 4 = 4*i - 3*r - 16 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dtmt when four letters picked without replacement from {d: 1, m: 1, i: 1, t: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/22 - (-2853)\/(-99))*2. Let k = -46 - p. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15.782 - 62.782. Let w = -47\/21 - -25\/7. Sort r, w, -5.\nAnswer: r, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1544190 to the power of 1\/2, to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) - ((1*sqrt(80) - sqrt(80)) + -1 - sqrt(80)))**2 - sqrt(80)*3*3.\nAnswer: -20*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -15. Suppose 9*y - 7 - p = 0. Solve -4*f + y = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17307.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 - (4 - -4) - 2. Let s = i - -13\/2. Let w = 2.3 + -0.3. Which is the third smallest value? (a) 3\/2 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 259419 is divided by 27432.\nAnswer: 12531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -28, 0, -16, -1.\nAnswer: -28, -16, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, f: 7, r: 1, a: 3, z: 1}. What is prob of picking 1 e and 1 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -341 divided by 3\nAnswer: -341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -1 + 2 + s - s - s. Let p(t) be the second derivative of t**3\/3 - t**2\/2 - 11*t. Determine -4*p(l) - 6*y(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 - 52*n + 612. Let v be u(18). Solve v = 2*r - 44*x + 42*x + 16, 3*x = 5*r + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.257 - -6.533. Let a = v + -3.79. Sort -5, a, 4\/23 in decreasing order.\nAnswer: a, 4\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 123\/10304 and -1\/360640.\nAnswer: 360640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/15)\/f)\/(f\/(f\/((f\/(f\/f**(-8))*f)\/f)*f)) assuming f is positive.\nAnswer: f**(122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1145 + -1140. Solve -4*x - 2*v = x - d, -3*x = -4*v + 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c + q + 19, c + 2*q + q = 3. Does 7 divide (c\/4)\/3*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11130360 and 8347770?\nAnswer: 33391080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 7 = b, b - 3 = -3*a - a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + 0)*(-3)\/(-6). Suppose 2*u - 184 - 144 = o. Suppose 0*y - y = 3*z - 100, -y = -5*z + u. Solve -4*j = -2*f - 12, -2*f - 5*j + z = -0*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 12 (c) 2\/11 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*x = -4*x - 34 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 595 - 900. Let z = a - -314. Solve 0 = 3*f + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1849*l**2 - 3705*l**2 + 1854*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -1) + 2 + -6 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/((-2100)\/(-693)))\/((-6)\/(-10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + 4*p**2 + 4*p + 3. Let q be g(-3). Let b = -4 + 6. Suppose q = b*j - 0*j - 134. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three tenths of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3 + 64*r**2 - 1968*r + 12672.\nAnswer: (r - 12)**2*(r + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110591 is divided by 288?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 388 (base 12) to base 3\nAnswer: 201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -155496 less than or equal to -155497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 4*w, 2*r + r - 60 = -2*r + 7*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-8)\/(-2))\/1 + -10. Let z(m) = -2*m - 4 + 0 - 1. What is the units digit of z(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 823 + -481. Let h = 622 - w. Is h\/12 + (-1)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:27 PM and 1:38 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158903 is divided by 39722.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10\/7 + 204\/133. Let w be (-12)\/90 - 6\/(-20). Which is the nearest to 0? (a) f (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1 - -0.11. Let o = -1\/14 - -3\/14. Suppose -513 = 12*j - 489. Which is the nearest to -0.1? (a) o (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 10:44 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -432*m**2 - 1300*m + 5. Determine k(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**2 + 10444*h + 20872.\nAnswer: 4*(h + 2)*(h + 2609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -34.3655361 to one dp.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (56\/(-14))\/(3\/((-6)\/(-20))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*s - 10*s**2 + 1 - 4*s**2 + 8*s**2 in the form d + u*s + r*s**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -2028 * -35.\nAnswer: 70980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*p + 5*w = 8*p - 13, -5*p - 5 = 4*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-168)*(-6 + (-2)\/(-1))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 12 = -47. Let r(k) = k**3 - 7*k**2 + 10*k - 2. Let s be r(7). Suppose -5*a + 57 = -s. Calculate the remainder when a is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 14 + 39)*(-2*t - t + 5*t) in the form h + w*t and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2099 is divided by 165?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/98 and -37\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6*(4 - ((-1488)\/(-72) - 28)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (8 + 2) - 2 - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -590*f - 30. What is the hundreds digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -6 + 3 - 2*y + 0. Let x(c) = 2*c + 4. Let z(o) = o - 18. Let w be 1\/(1*4\/52). Let i be z(w). Give i*x(f) - 6*d(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -1\/3, 0.13, 1.2, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 21194098, 21194095, 21194092, 21194089, 21194086?\n\"Answer: -3*j + 21194101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dwwwdwwwwbwudwrwwwn. Give prob of sequence nwd.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = -2*d + 5*t, 0 = -4*d + 8*t - 3*t + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*q = 28*q + 205 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -178*u + 354*u + 568*u**2 - 179*u to the form w*u**2 + q*u + l and give w.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -4*q + 12, 3*q - 7 = 2*c + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 3*x - 4*x**2 - 5*x - 2*x + 3 - 4*x**3. Let f(v) = -5*v**3 - 5*v**2 - 5*v + 2. Let n(s) = 3*f(s) - 4*q(s). Calculate n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17472\/(-2352)*(-35)\/(-90).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 - (12 + -6)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c - c + 0*c)*(-12*c**2 + 19 - 19) + (-2*c**2 - 5*c**2 + 3*c**2)*(10 + 4*c - 10 + (-4 + 1 + 2)*(-c - 3*c + 5*c)).\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {s: 1, d: 1, r: 1, i: 2, y: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 10:48 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*9\/405*(-19)\/(-19)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2100)\/1008 + 5\/4. Suppose 4 = -2*f - 2*f. Which is the second biggest value? (a) f (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10*l**2 + l**5 - 7*l**5 - 15*l**2 wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 190*a**2*k**4 - a**2*k**2 - 18*a**2 + 9*k wrt k.\nAnswer: 2280*a**2*k**2 - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1810056)\/1423)\/(0 - 24).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 13658*b. Let s(x) = -x. What is s(m(c))?\nAnswer: -13658*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-j + j + 2*j)*(j + 0*j + 0*j) + (j**2 - 2*j**2 + 0*j**2)*(-9887 - 12373 + 4505) to the form x + v*j**2 + g*j and give v.\nAnswer: 17757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*t - 4*t + 4*t)*(-4132 - 11*t + 4132 + 2*t**2) as a*t + v*t**3 + f + m*t**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -219*k - 4. Let y(h) = -h - 71. Let n(v) = 5*v + 284. Let o(w) = -n(w) - 4*y(w). Give o(p(s)).\nAnswer: 219*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 2.5, -386, -3.\nAnswer: -386, -3, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 370246 or 370252?\nAnswer: 370252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 5 - 1 - (2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 22420132 (base 5) to base 7.\nAnswer: 1465600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 97568334032 plus -0.31?\nAnswer: 97568334031.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-134)\/(-18)*-2)\/((128\/(-528))\/(1872\/1716))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -27284*q**3 - 100380?\nAnswer: -81852*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is d in -2*d**3\/9 - 4*d**2\/3 - 2*d - 8\/9 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 1352?\nAnswer: 3\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x - 7*x - 56. Let p(m) = -8*m + 7*m**2 - m**3 + 9 + 2*m**3 - m. What is the units digit of p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28002 - -22.035154294.\nAnswer: -27979.964845706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - 0. Let b = 1 + 1. Let n(o) = -3*o + 6*o**b + 2*o + 0 + 1. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -134 + 152. What is the greatest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 450, 3457, 11594, 27429, 53530, 92465?\nAnswer: 146802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 2474061, 0 in descending order.\nAnswer: 2474061, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4131 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1130 is divided by 559.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98650415.\nAnswer: 5, 47, 419789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Expand (3*b**3 + 8*b**2 - 8*b**2)*(295*b + 265*b - 622*b).\nAnswer: -186*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 30505 by -1774.\nAnswer: -30505\/1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 202\/49 (b) 0.038 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -17 - 2 - (-25 - -17) - 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(-35))\/(-3) - (-272)\/(-1360).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*1 - (-10353)\/(-609).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 - 7*j**2 + 17*j - 9. Let y be k(-9). Which is smaller: y or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -276*x + 2*x - 76*x + 562 - 480.\nAnswer: -350*x + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-51240)\/(-2989))\/(4\/7)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 82 - 255. Let w be (2*h)\/((-2 + -6)\/(-4)). Let f = w - -379. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -39*w + 12*w + 9*w + 8*w + 3*w**3 - 20*w**2 - 20*w**2 in the form i*w + t*w**2 + f*w**3 + h and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 32 and 1807312?\nAnswer: 3614624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is 1822022 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 222.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-28)\/(-5) - 2) + (-14)\/(-35). Suppose 0 = 5*h - c - 427, -i*h - 3*c + 0*c = -334. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a + 2. Suppose 3*l - 26 = 2*k, -2*l = k + 2*k. Let w be r(l). Let i(u) = w*u - 1 - 8*u - u**2. Determine i(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 16939\/111 - 306\/37. Let u = 145 - v. Factor -u + 2\/3*m**2 + 0*m.\nAnswer: 2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w*w\/w**(-2\/7))))**(9\/2)\/((w**(1\/2)*w*w)\/w)**20)\/((w*w*w**(2\/7))**(2\/59)*w\/(((w**5\/w)\/w)\/w)*w*(w*w**(1\/3))\/w) assuming w is positive.\nAnswer: w**(-24935\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the first derivative of m**4\/6 - m**2\/2 - 2*m + 10. Let r(k) be the first derivative of a(k). Let f(o) = 2*o + 2. Let i be f(-2). Calculate r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (3*(1*sqrt(5082) + sqrt(5082)))\/(-1*(sqrt(600) - (sqrt(600) + (sqrt(600) - sqrt(600)*-4)) - sqrt(600))).\nAnswer: -1 + 11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(-6) + (-306)\/(-36). Calculate the highest common divisor of 88 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -721*d + 3179*d = -128006 + 5106 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h + 17. Let u(k) = k + 1. Let d(q) = 2*j(q) - 10*u(q). Let r be d(6). Suppose 0 = 4*w + 4 - 24, 5*p + 5*w - 5630 = r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*w + 513966 = -868408. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1182 + -0.1182. Which is the closest to w? (a) -0.15 (b) -0.2 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -28 + 80. Let f be (117\/5)\/((-7137)\/(-47580)). Calculate the greatest common factor of c and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 1321 = -3*z. Let y = 2514 - z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -3*g**2 - 7*g - 1. Let f(c) = -4*c**2 - 8*c - 1. Suppose 0 = -d + 1, -2*d - 24 = 5*k - d. Calculate k*f(w) + 6*r(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6072 - 6067. What is the highest common divisor of 19 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37.25 - -39. Let b = 0.35 + y. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1258 and -0.1651703?\nAnswer: 1257.8348297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 438e2 (base 16) to base 3.\nAnswer: 112001120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 2*g - g + 0*g. Let d(k) be the second derivative of 0*k**2 + 0 + 1\/3*k**3 + k. What is h(d(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15414 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p\/(p**(3\/5)*p*p)*p*p)**(-48))**24 assuming p is positive.\nAnswer: p**(-13824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.18 - 29.82. Let p = -26 - h. Are p and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g**2 - 7504*g - 174708 = 0. Calculate g.\nAnswer: -23, 1899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z + 4*z - 48. Let w be 5402\/z + (-1)\/3. What is w rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - -1.6. Let x = 2055.7 + -2056. Which is the smallest value? (a) 3 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of 11\/60*n**5 + 3*n**2 - 1\/20*n**6 + 1\/6*n**4 - 3\/70*n**7 + 0*n + 0 - 2\/3*n**3. Let w(o) = 0. What is o?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the first derivative of 2*c**3\/3 + 23*c**2\/2 - 59. Let z(i) = -2*i**2. What is u(z(p))?\nAnswer: 8*p**4 - 46*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 2 - 10 = 0. Let o(b) = b + 8. Let v be o(17). Suppose i*g = 4*l - 296, -4*g - v - 46 = -l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 4985*f - 912. Let w(l) = -2*l. Determine k(w(s)).\nAnswer: -9970*s - 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2169436723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 1)*(22 - 26). Let o be (17\/(-4))\/((-1)\/4). Let y = o + m. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -2*n**4\/3 + 76*n**3\/9 - 16*n**2 - 60*n + 10711. Suppose r(d) = 0. What is d?\nAnswer: -1, 3, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:18 AM and 10:53 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 9693*z**2 + 90*z - 3. List the prime factors of m(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -399.669621 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -33212.7 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10fc3 (base 16) to base 11\nAnswer: -482a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1881 - -56453\/30. Find the common denominator of 38\/685 and q.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14412632 - 113?\nAnswer: -14412745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -7652*r - 9308 = 7489*r - 14962*r for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -2*a + 12. Let r be t(3). Suppose 24 = 5*z - 3*l, -3*z + 0*z + 2*l + 15 = 0. Factor -3*p**z - r*p**2 + 2*p**2 - 9*p + 7*p**3 + p.\nAnswer: 4*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -207 + 229 + -5 + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 655 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1575, 1606, 1637, 1668, 1699, 1730?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13860918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*u + 5. Let w be (-3)\/6*(3 - 3). Let m(b) = b**3 - b**2 + 14. Let g be m(w). Solve 0 = -2*p + h - 11, g = -5*p + u*h - 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8259535 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -38503\/8008 - -391\/91. Calculate the common denominator of ((-1)\/(-64))\/((-303)\/26866) and s.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 PM and 8:26 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 10 (b) -1\/9 (c) 0 (d) -3 (e) -106 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -5*g**3 + 3*g + 3. Suppose 3*x + 4*v - 50 + 12 = 0, -x + 12 = 2*v. Let k(s) = -11*s**3 + 7*s + 7. Give x*j(h) - 6*k(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*k**2 + 12062147*k**3 + 2*k**2 - 54 - 12062149*k**3.\nAnswer: -2*k**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = u + 2*w, -4*u - 2*w + 145 = 161. Factor j + u - 1\/2*j**2.\nAnswer: -j*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 310 = -94. Let t be (-66)\/10 + (-6)\/(-10). What is the units digit of 4\/t*a\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.01 - -14.09. Let n = -16.7 + f. Which is the second smallest value? (a) -5 (b) n (c) -4\/9 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 70 - 1?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 23946 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - (19 - (11 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.94 - 0.06. Let v = 0.3 - 0.5. Let o = -126.4 - -125.4. What is the closest to o in 5, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -3*k**2 - 17*k + 2. Let f = -36693 - -36696. Let j(g) = 2*g**2 + 17*g - 1. Calculate f*l(x) + 4*j(x).\nAnswer: -x**2 + 17*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 26 - -2 - 3 - 51?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5297 + -2166. Round k to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -10111011 (base 2) to base 8\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yrry.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 + 4*g + 2. Let t be o(-1). Let j = 87 - 130. Is j greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dm when two letters picked without replacement from {m: 1, l: 1, b: 1, d: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 - 14. Suppose 0 = -2*n - 4*b + 26, -62*n - b + 11 = -60*n. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 563468514 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/13740 and -133\/206100.\nAnswer: 206100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-19)\/4)\/(1\/(-92))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 58525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -74, 5\/161, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 - 2 + 2)*(3*m + 2*m**2 - 3*m) + 2*m**2 - m**2 + 0*m**2 + (6*m - 5*m - 3*m)*(-2*m + m - 9*m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 114919 - 51950. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50\/15 + (-310)\/93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -78 + 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0008385642909 to five decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 12 = -5*g, -3*g - 2*q + 6 = -0*g. Let y = -1367672 - -2187672. Suppose g*f - 2*f = -y. What is f rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 5, q: 1, n: 1, v: 1, y: 5, c: 4}. What is prob of picking 1 g, 1 q, and 1 y?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 502536, 1005074, 1507610, 2010144, 2512676, 3015206, 3517734?\nAnswer: 4020260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 81 and 44370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvdhhxevvdhdxh. Give prob of picking 1 e, 1 d, and 2 h.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.08, 1, -0.13, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2 + (-33)\/(-12))*-4. Let j = t + 6. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (322\/(-72) - 30\/(-135)) + 4. What is the biggest value in 0.2, -2, -1\/5, m, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-22)\/4*(1 - 3) and (2\/2)\/((-2)\/(-16)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-3\/2)\/(u**(3\/11)\/u))\/((u\/(u*u\/u**(-2\/23))*u)\/u**(-1\/15)))\/(u*u*u**4*u*u\/(u*u**(5\/3))*u*u**(-4)*u*u**(-8)) assuming u is positive.\nAnswer: u**(9903\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -b (base 12) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 309 and 13280511.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 24 - 11. Calculate the common denominator of (-146)\/(-72) - (y\/(-4) + 3) and 83\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/6*(-5 - 4). Let x be (-34)\/y + 4\/(-6). Suppose 2*k = 5*z + 25, -x*z + 12 - 37 = -k. Which is greater: k or -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -457*y - 4045. Calculate i(-9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 131052 and 32160?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 189 - 147. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1020031 + 14271563\/14. Let x = -7767\/28 - s. Let n = -333 + x. Find the common denominator of n and 109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f**5\/21 - 4422*f**4\/7 - 823028*f**3\/3 - 271146228*f**2\/7 + 109920402*f\/7 + 163150650\/7 = 0. What is f?\nAnswer: -501, -325, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 175 divide 2844275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 160455*z**3 - 80224*z**3 - 80243*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 584472998.\nAnswer: 2, 59, 257, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -5*g**3\/3 - 13270*g**2 - 16725325*g\/3 = 0.\nAnswer: -7517, -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1352735, -5410965, -12174681, -21643883?\nAnswer: -33818571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11506 and 523.\nAnswer: 11506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1314055511.\nAnswer: 17, 29, 2665427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-20) - 22\/10 - 9. Let a be v*-2*(-2)\/4. Let z = a - -36. What is the highest common divisor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 84 + -259. Let x = a - -477. Is (-3 - -7) + x + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6141 - 79a9?\nAnswer: -11b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 525.8088 meters?\nAnswer: 525808800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -700 by -18059.\nAnswer: 700\/18059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 3:31 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4*119\/(-34)*-1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + 6*x - 8. Let j be k(4). Suppose -30 = -6*s - 12. Solve d - 4*m + 16 = -0*d, -4*m + j = s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 0 + (17 - 21) + (-19 - (-80 + 22)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/13725 and -53\/63450.\nAnswer: 3870450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 41, -28, -3, -5, 4, -4 in increasing order.\nAnswer: -28, -5, -4, -3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5653 + -1670. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 582\/15) + (-856)\/(-1070).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 5, i: 3, u: 4}. What is prob of sequence uuuu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -40\/14259 and -48\/33271.\nAnswer: 99813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (145\/15)\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16574?\nAnswer: 2, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(252) + (sqrt(252) - (sqrt(252) - sqrt(252)*-1)))**2 - ((sqrt(252) + 1 + sqrt(252) + sqrt(252))**2 + -1 + sqrt(252)).\nAnswer: -2268 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -163 + 166. Let w(t) = 1 - 9*t**2 + 5*t**3 - z*t + 2 + 6*t**2 - 4*t**3. What is w(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*n + 4*f - 48 = 0, 3666*n - 3659*n - 3*f + 38 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-70)\/(-35) - (0 + -35). Suppose 12 = y*s - 34*s, -s = -3*b + 20. Solve b*g = 11 + 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -77*l - 3 + 810*l**2 + 81*l + 3 - 831*l**2. Let s(f) = f**2. Determine s(x(v)).\nAnswer: 441*v**4 - 168*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -13*v - 26. Let r(n) = -70*n - 128. Let h(l) = 16*p(l) - 3*r(l). Determine h(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + cdc8?\nAnswer: cdca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, m: 1, c: 1, v: 1, n: 1}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 15 = -6*m. Let i = m + 5. What is the first derivative of -7*o**2 + o**2 + 1 + 2 + 7*o**i wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8534.167 years in centuries?\nAnswer: 85.34167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6.352474 - 8.0225185. Let p = x - -1.67. What is p rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -82010 and -82008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - r + 6, 5*r + 9 + 11 = 0. Solve -x*h + 0 = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(133)\/(-5*sqrt(21)\/sqrt(3)) - sqrt(57)\/(-3*(sqrt(48) - sqrt(3)))))**2.\nAnswer: 304\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 + (11 + -7 - 18) + 29.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the first derivative of -5*t**6\/4 - 8*t**5\/5 + 11*t**4\/8 + 8*t**3\/3 + t**2 + 6. Solve w(p) = 0.\nAnswer: -1, -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -36*(0\/(-2) + -1). Let h = q + -20. Calculate the least common multiple of h and (-992)\/(-72) + 4\/18.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -340 - -340. What is the nearest to x in 220, 0.1, -0.3, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 - 820?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that y**3\/6 + 145*y**2\/6 - 304*y\/3 - 298 = 0.\nAnswer: -149, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 32869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6000)*3*6)\/((sqrt(12) + (sqrt(12) - sqrt(36)\/sqrt(3)*-4))*-3).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 4 = 4*d. Suppose -i + d = 13. Let z = i + 8. Which is smaller: z or 2\/35?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 28\/(-12) + 4 - (-6)\/(-9). Let n be (-4)\/(-6) + (-11)\/12. What is the third smallest value in n, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*r - 6*r + 3*r)*(829*r - 210*r + 2297*r) + (2*r**2 - 5*r**2 + 2*r**2)*(0 + 1 - 2) in the form c*r**2 + b + i*r and give c.\nAnswer: 2917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, y: 11}. Give prob of picking 1 y and 2 v.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 771 and 4883.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20233 - 20664. Which is smaller: -7308\/17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35669.\nAnswer: 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 + 5*y**2 + 6*y + 2. Let k be p(6). Suppose -k*z = -0*z. Solve 4 = 2*q + r, q - 1 + z = -r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1\/9, 0.3, -2, -164?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in -5, -2\/15, -0.58728?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4038*i + 3989*i + 11*i**3 + 3*i**3 + 3992*i - 12023*i.\nAnswer: 14*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -5241 (base 12) in base 4?\nAnswer: -2030101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, -3, -20\/27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 41211 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 197 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 - -46?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 2 - 3)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/(-14) - (3 + -8) and 27\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 182 by -631.\nAnswer: -182\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -501 (base 6) in base 10?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**3 - 5*h**2 - 6*h - 3. Let c be q(-5). Suppose -3*o = -3*g - c, -o - 4*g = -0 + 11. Solve -n + 1 = o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.05 - 0.35. Let b = f + -0.6. Let c = 4.82923 - -0.17077. Sort c, b, -0.5, 1 in decreasing order.\nAnswer: c, 1, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**2 - 29*z - 67. Give h(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -5*o - 501. Determine z(5).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 + -4. Let c = -242 - -242. Suppose 3*g - r*g - 251 = -5*n, -2*n - g + 98 = c. What is the highest common divisor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c - 12. Let n be i(6). Let o = n + 13. Suppose o - 14 = -f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o + 3*o - 4*o)*(3*o - 12*o**3 - 3*o + (-o**3 - 3*o**3 + 2*o**3)*(-1 - 4 + 4) + 4*o**3 + 3*o**3 - 5*o**3).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hqgyyagyggygygqh. Give prob of sequence qq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 60*s**2 + 14*s - 30. Let i be c(2). Suppose -i = -2*r + 242. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 210011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -102001001 (base 3) in base 16?\nAnswer: -1f6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aacuucacccac. What is prob of sequence cc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 8, b: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 1770*x**3 + 56*x**2 + 86*x**2 + 0 - 141*x**2 to n*x**3 + c*x**2 + p + i*x and give n.\nAnswer: 1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 5*h**3 + 14*h**2 - 2*h - 2. Let k(y) be the first derivative of 3*y**4\/2 + 5*y**3 - 3*y**2\/2 - 3*y + 86. Let s(w) = -2*k(w) + 3*p(w). Factor s(g).\nAnswer: 3*g**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2381072 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of 3*w**5\/25 - 29*w**4\/30 - 2*w**3\/5 + w**2 - 1177*w. Let h(a) = 0. Calculate a.\nAnswer: -1\/2, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 34423 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -528 <= -8951\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 48 = 20. Let a = 19 - i. Let d be (-2 - 64\/(-12))*3. Solve d = q + q, a*j + q - 11 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 PM and 3:17 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -50 - -62. Suppose -t*b + 150 = -7*b. What is the smallest common multiple of b and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7.5104 * -0.35.\nAnswer: -2.62864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -4*w**3 + 37712*w**2 + 5956080*w + 233236224 = 0.\nAnswer: -78, 9584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-6))\/(((-92)\/(-24))\/(-23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 3 + 1)*(100734 - 19495*o - 100734) to the form q + d*o and give d.\nAnswer: -38990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + a - 0*a + 3, -7 = -3*k + 5*a. Let i be (1\/k)\/(2\/24). Let j be (2\/i)\/(5\/(-10)). Which is smaller: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 4*r = 0. Suppose r*g = -2*g + 4. Solve -m = -g*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/6)\/((-9)\/108). Suppose f*k + 139 = 155. Solve -10\/19*h**k - 8\/19 + 18\/19*h = 0.\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28 - 26. What is the derivative of 6 - 7*t + 15*t - 8*t + i*t**3 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 163\/570 and 3\/8*(1 - (-2 - (-550)\/54)).\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 877511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 419903.\nAnswer: 5\/419903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.074 times 0.05?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 2, j: 1, c: 1, o: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -11*o**2 - 8*o + 14. Let s(b) = -b**3 - 6*b**2 + 6*b - 4. Let m be s(-7). Let n(q) = 4*q**2 + 3*q - 5. Let g(y) = m*d(y) + 8*n(y). Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 - 6. Let x(w) be the first derivative of w**4\/4 - 3*w**2\/2 - 3*w - 1. Is x(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 5*w - 23 = 0, -7*q + 2*w = -8*q + 16. Let n = 33 + -12. Calculate the greatest common factor of q and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the second derivative of -u**6\/10 - u**5\/10 + u**4\/3 + u**3\/3 - u**2\/2 + 3*u. Factor q(o).\nAnswer: -(o - 1)*(o + 1)**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -600, -601, -602, -603?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - 9*d**2 + 9*d. Let x(n) = -n**3 + n**2 - n. Let q(j) = j**3 - 2*j**2 + j - 8. Let p(k) = -q(k) - 2*x(k). Let r be p(0). Calculate s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -10848, -2573 in descending order.\nAnswer: 1, -2573, -10848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 925496517 to the power of 1\/2, to the nearest integer?\nAnswer: 30422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 17 + (-12 - 15) + 2386. Calculate the highest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -20*b**2 + 22*b**2 - 11*b**2. Let q(v) = 4*v. Determine o(q(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5642326 is divided by 5642317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18146)\/(-1055) + 9 + -25 + -6 + (0 - 0)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together 117.215 and 0.2414.\nAnswer: 117.4564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -585 - -585.12. What is the third biggest value in 4, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (74 - 0\/(-2))\/((-14)\/(-294)*7). What is the greatest common factor of 84 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -40146*p**2 - 8288*p.\nAnswer: -80292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 8\/5*(-100)\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 54437*w - 272222. Determine f(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -10302113 (base 5) to base 3\nAnswer: -11110102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 960955 is divided by 240236?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/3, 32785, 0.3, -0.1?\nAnswer: 32785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 - 4*s**2 + 6*s + 9. What is d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - t - 934 = -916, -5*p - 6*t = -11 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find p such that 4*p**3\/7 - 438876*p**2\/7 + 2131188*p - 126795860\/7 = 0.\nAnswer: 17, 109685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.4 and 0.0123.\nAnswer: 0.01722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 18\/61751 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2130 + -2131. Let y = 1.1 + 0.9. What is the closest to -1 in a, 21\/5, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 + 22*c**2 + 18*c - 1212. Determine y(20).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4281176200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 50 - 30. Let s = -165 + 235. Let q = f + s. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + -55. Let t = 66 + i. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 11, g: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (w - 3*w - w)*(-149 - 116*w + 149)*(-2 - 4 + 0).\nAnswer: -2088*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 0.5, -44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**1\/(z*z**(15\/4)))**(-6) assuming z is positive.\nAnswer: z**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1720 + 9338 = -26*i. Let d = -191 - i. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -703*l = -202*l + 2674 + 10352 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -7 times -883\nAnswer: 6181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**2 + 7759*h - 54. Let b(z) = 2*z - 18. Give -3*b(o) + p(o).\nAnswer: -o**2 + 7753*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 472*m**3*x**4 - 7*m**3 + 26*m**2*x**2 wrt x.\nAnswer: 11328*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14422976 and 4640.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*z - 13468 = -3*z. Let k = 509 - z. Calculate the greatest common divisor of k and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5093 + -5076. Let d = 3 - 2. Calculate the remainder when w is divided by 7 + (0 - d)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -839 - -832. Let k(r) = r**2 + 7*r + 9. Determine k(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t**4 - 4252*t**3 - 17100*t**2 + 29836*t + 42680 = 0 for t.\nAnswer: -5, -1, 2, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 37 - 170 + 30*r + 47 + 54 + 55 to d + c*r and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -8531*o + 110990. Give n(13).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of d**4\/2 + 3*d - 29. Suppose a - 9 = -2*a. Let v(k) = 2 + 4*k - 2 - a*k. Calculate v(c(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-8)*y*y)\/(y\/((y*y*y**(1\/10))\/y))*y**(-1)*y**1)\/((y*(y\/y**(-1\/2))\/y)**(-1\/14)*((y\/(y**(-1\/3)*y))\/y)\/y**(-5)) assuming y is positive.\nAnswer: y**(-4253\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h**3\/2 - 6*h**2 - 277*h\/2 - 132 = 0. What is h?\nAnswer: -11, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(363) + -1)**2 + -3).\nAnswer: -1083 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 32 - (1 + 6) - -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z - 74 = 76. Let u be 7767\/z - (-5)\/25*1. Suppose -2*k + u = 3*i, -2*k = 4*i - 318 - 200. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*c + c - 183*c**3 - c.\nAnswer: -183*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3 + 2 + 23 + -4 + -4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**3\/8 + 11*p**2\/4 + 233*p\/8 + 105\/4 = 0 for p.\nAnswer: -7, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/450*-10)\/(-6*(-1)\/(-252)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 284 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/((-7644)\/(-12)))\/(1\/(-7)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 - 2*a - 5. Suppose -684*f = -682*f + 6. Determine r(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**2 - f**2 + 3*f**2 + (4 - 1 - 4)*(2*f - f**2 - 2*f + (-5*f + 4*f + 2*f)*(f - 2*f - 2*f) - 3*f + 3*f - f**2))*(10*f + 111 - 111).\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r + 0*r - 2*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqppqp. What is prob of picking 2 p and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nhihnnhiinnni. What is prob of sequence ii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6044 + -1975. Let z(h) = 6*h + 4069 - s. Let u(o) = -o**2 - o + o. Determine u(z(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90072 is divided by 126?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-3) - (-242)\/(-33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/5*18\/(-36))\/(23\/2645).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 - 251*j**2 - 1676*j + 190. What is r(-7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 - -21. Let r be 3\/((-3)\/(((-12)\/8)\/j)). Suppose -3*n - 24 = -12. Which is the second smallest value? (a) -1\/4 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.3 times -99\nAnswer: 326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*v - 44*v - 42*v - 28*v + 75 - 45*v + 196*v.\nAnswer: -2*v + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2942045693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ka when two letters picked without replacement from {s: 3, a: 5, k: 1, y: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -14 + 1668191293.\nAnswer: 1668191279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*s - 39. Suppose -5*w + 34 - s = 0. Suppose -3*u = -4*g + 37, 5*u = -w*g - 2 + 92. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of s**2\/2 + 2*s - 16. Let x(y) = -3*y - 6. Let j(r) = 14*h(r) + 4*x(r). Give j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14571*n**3 - 10188*n**2 - 2*n wrt n.\nAnswer: -87426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 7127, 1564, -2 in descending order.\nAnswer: 7127, 1564, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 5*f**2 + 6*f + 4. Let o be m(-2). Let j be (1 - 5)*o\/(-24). Let s(n) = n**3 + 3*n**2 - 4*n + 3. Let c be s(-4). Solve 4*i = c*i + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 269.6 + -264.6. Sort 2\/3, -0.9, h in increasing order.\nAnswer: -0.9, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -45*d + 51. List the prime factors of k(-3).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1519034 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (((-99)\/22)\/9)\/(2\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 224 and 768.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 23 = 13. Let h = 108 - 106. Suppose 6*y - 568 = -4*f + y, 3*f + h*y = 426. What is the remainder when f is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3487 + -965. Is 97 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1\/2, 2\/25, 23.\nAnswer: -2, -1\/2, 2\/25, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -110001010111010010111110?\nAnswer: 110001010111010010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*(140\/(-24))\/(-5) + -2. What is the second biggest value in -3\/7, -2\/3, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 58 - 175*u + 56 to the form i + r*u and give r.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104187.\nAnswer: 3, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 5*q - 125, 2*q + 209 = 4*v + 61. Let x = 332 + -238. Let o = x - v. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 4 + (1 - (-4 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58989 = -120*c + 141*c. Solve -2813*a + 28 = -c*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -107200 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/111 in -178, -0.1, 0.1, 6\/1273?\nAnswer: 6\/1273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 + 9*f**2 + 38. Determine h(-6).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -710*m - 96 = 4*r - 713*m, 6*r - 4*m + 144 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 25d0 (base 14) to base 9.\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 - 19*p**2 - 35*p - 13. Let i be d(-17). Suppose 0*u + 5*u = 0. Solve 0 = -u*g + i*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 - 15. Let y = -1 - -5. List the prime factors of 150\/y - o\/(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11*-0.227.\nAnswer: -2.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 95 - 58. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 - 3*t - 6. Let g be h(6). Solve 0 = -4*j + 8 + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -5, 2\/5, -1 in ascending order.\nAnswer: -5, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - 371.428.\nAnswer: -371.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 177018*p**3 + 12892101*p**2?\nAnswer: 1062108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -61*q - 3489 = -8857. Calculate the highest common factor of q and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*h - 24120 = 168*h + 1202*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 5*w + 95 = 0, 4*a - 56 = -w + 82. Let u(q) = 2*q**2 + 23*q + 82. What is the remainder when a is divided by u(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1547405 + -1?\nAnswer: 1547404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-23)\/195 + (-20)\/(-390)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 5 - 3)*(-1 + 1 + 2*g)*(2 - 1 - 2)*(2 + 1 - 4).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -83\/9, -0.5, 8, 3, 44?\nAnswer: -83\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 318 and 136263.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 5)*(0 - 5 + 4)*(-5 + 1 + 0)*(0*s + s + 2*s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 24105767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 444 = 12*y - 0*y. Suppose p = -p + 28. Let i = y - p. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, r: 12}. What is prob of picking 2 r?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, 1, -4, 5 in descending order.\nAnswer: 5, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7440832 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: 4 divided by 209144\nAnswer: 1\/52286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - -7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 9 = -0*u + 3*u, -5*c + 55 = -3*u. Let d(j) = 1 - 6*j - c*j + 6 - 3*j**2 + 20*j. Let r(z) = z**2 + 0 + z**2 - 4*z - 5. Determine -5*d(b) - 7*r(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 148*d + 185*d + 114*d + 135*d to the form r + j*d and give j.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*n + 47 = -1. Suppose -37*g + 2*s - 2 = -40*g, 4 = n*s. Solve 2*z + 14 = -4*h, g*z + 35 = -4*h + 5*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**3 + 5*s**2 - 174*s + 417. Determine f(-17).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 3*b - 27 = 0, -14*j = -12*j - 4*b - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 6\/88363025?\nAnswer: 6\/88363025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -118, -1033, -3490, -8257, -16102, -27793?\n\"Answer: -128*f**3 - 3*f**2 - 10*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 6 - 15 = -4*o, 2*o = 3*y + 9. Solve 4*c - 7 = 3*m, 2*m = o*c + 2*c - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -70 - -45. Let h = 37 + o. Let i = 9 + -5. Solve 5*d = d - 2*s, h = 2*d + i*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*h - 143 = 80*h + r, 0 = -2*h - 2*r + 128. Calculate the least common multiple of h and -1 + 0 + 1 + 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1211\/63 + (-13 - 6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d - 4*d + 2*d - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 0*q = 5*y + 89, 3*y = -3. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 1 = -2*g + 10, -27 = -4*g - z. Suppose -2*f + 3 + g = 0. Let j(a) = a**3 - 5*a**2 + 4*a - 4. Give j(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -34 - 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/150 and 139\/26850.\nAnswer: 26850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 j, and 1 p when three letters picked without replacement from xppjpjdbpjxdxjdnxd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17257333 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -69079?\nAnswer: 4\/69079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*k**4 + 10*k**4 + 4*k**4 + 2*k**4 + 2 - 2 + (-4*k**2 - 1 + 1)*(-9*k**2 - 2*k + 2*k).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**3 + 8*w**2 - 7*w + 3. Suppose -5*i + 3*h = -20, 2*i - 1 - 3 = 2*h. Let v be d(i). Find the second derivative of 12 + 5*m - 12 - 3*m**v wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -127\/1380 and 43\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-7 - (-6 + 1))\/((-2)\/(-3)). Let z be 10\/(-30)*(-66 - t). Solve -5*i = 4 + z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -80 - -52. What are the prime factors of 212\/7 - (-8)\/i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -29 + 59. Suppose -2*j - k = -5*j. Suppose 2*b - 1 = -3*p, 5*p + 0*p = -15. Calculate the lowest common multiple of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -4\/25, -0.1, 0.5, 5, -15 in increasing order.\nAnswer: -15, -4\/25, -0.1, 2\/9, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.08325 + -0.08325. Let i = 0.16 + 5.84. Let n = i + -5.6. What is the fourth biggest value in -0.3, z, n, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (6 + -1)*6\/10. Solve t = -5*o + 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22\/(264\/(-30))*4\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 160 and 1040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 - k**2 - k + 1. Let x(j) = -5*j**3 + 7*j**2 - 3*j - 2. Let d(w) = -2*i(w) - x(w). Let u(g) = 3*g**3 - 2*g**2 + 2*g. Give -2*d(f) + 5*u(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2864 - -3026. What is the greatest common factor of o and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3423176 + 391374 + 246367 + 2*z.\nAnswer: 2*z - 2785435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.021252 from -11655.\nAnswer: -11655.021252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 2*z = -34380, -5*z = -3*z + 4. Let l = -10817 - -16606. Let o = r - l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 5*v - 5 = 0, 0 = 2*d - 4*d + 3*v - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 457377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - -3 - (4 + 4 + -39 - 66).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 19 - 17 + 4*h + h**2 + 0*h**2. Calculate the remainder when j(-6) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 + 2. Suppose 7*p = 11*p - 20. Suppose -32*q = -241 + 81. Solve p*v = -m - 4*m, q*v + 4*m = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1155 - 1029 - 976 = 17*r - 3636 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -31 - 541546.188\nAnswer: -541577.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 25775261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**3 - 19*y**2 + 16*y - 49. Is x(19) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36\/4 + -5 + 20 + -16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 3 + ((sqrt(34) + sqrt(34)*2)*-1)\/((sqrt(24) - sqrt(96))\/sqrt(12)).\nAnswer: 7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(117))\/sqrt(3))\/sqrt(3) + 3*(sqrt(117) + 0).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 1981 divide 146407786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1898016886?\nAnswer: 2, 47, 20191669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 181, -4, 6, -1, -3, -127 in decreasing order.\nAnswer: 181, 6, -1, -2, -3, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -233, -380, -523, -662, -797, -928?\n\"Answer: 2*n**2 - 153*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, m: 4, n: 1, f: 2}. Give prob of sequence fmn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 122 + -109. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1188 and 331886214.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 3*v**3 + 65*v**2 + 190*v + 16. Calculate o(-6).\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of -21*s**3 + 30*s**2 + 3*s - 405. Factor p(c).\nAnswer: -3*(c - 1)*(21*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 60 - 46. Let y(n) = 14*n. Let t(m) = -64*m. Let z(x) = k*y(x) + 3*t(x). Let o(j) = j**2 - 16. What is z(o(v))?\nAnswer: 4*v**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 377 times -25406.2?\nAnswer: -9578137.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 4*q + 4, -3*q = 2*q - b - 15. Suppose q*x = -x + 25. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 3387.\nAnswer: -1693.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r + 4*r - 3*r + r - 4*r - 5*r + (-9 - 2 - 9)*(4*r - 3*r - 2*r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1662 divided by 554.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -258 and -0.25.\nAnswer: 64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 140993345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnnnnlnlllnnnnnnn. Give prob of picking 3 n and 1 l.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -8156*d + 5108. Is n(-4) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7837 - 2506. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23245039921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -126*d + 119*d - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15408848 - 15434225.367. Let p = -25389 - h. Let g = -0.267 + p. Round g to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -140, 0 in descending order.\nAnswer: 3, 0, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 75*b**5 - 2640*b**4 - 33273*b**3 + 8418*b**2 + 22020*b + 5400 = 0.\nAnswer: -10, -2\/5, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2647*r**3 - 30826*r**2 - 93726129*r?\nAnswer: -15882*r - 61652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 5:05 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -7*j + 6852, 2*j + 4136 = 289*o - 286*o. What is the remainder when o is divided by 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7130 minus -0.3?\nAnswer: -7129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -41227904?\nAnswer: 3\/41227904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62683122?\nAnswer: 2, 3, 103, 101429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -80*k + 904*k**5 - 68 + 33*k + 33*k wrt k.\nAnswer: 18080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/501 or 1?\nAnswer: -2\/501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -7 - 13, -c - 3*p - 13 = 0. Differentiate -c*r**4 - 5 + 2 + 9*r**4 - 2*r**4 with respect to r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 188381 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 282530335 less than -0.05?\nAnswer: -282530335.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -5, -4, 1436.\nAnswer: -5, -4, 11, 1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 - 12. Let g = n - 8. Let w = 0.5 - 0.8. Sort 3, g, w in decreasing order.\nAnswer: 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23561, -30094, -40983, -56228, -75829?\nAnswer: -99786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-12)*(-2 + 24\/9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 4, a: 4, l: 3, c: 3, j: 3, x: 3}. Give prob of sequence lyxa.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - h - 11 = 0, -s + 877*h = 872*h - 28 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 896611 is divided by 219?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 5, 51, 77, 41, -99, -385, -859, -1563?\n\"Answer: -7*g**3 + 32*g**2 - g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - 207\/(-138)*(2 + 2 + -3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -5*u**4 - 2320*u**3 - 372320*u**2 - 23942400*u - 532512000 = 0.\nAnswer: -172, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*k + 14*k + 10*k + 3*k - 5*k + k + 0*k + 3*k - 2*k + (1 - 1 - k)*(-2 + 2 - 2) + k - 2 + 2.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -4, -0.9, -170?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1513306 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4, -11, -1\/6, 0.4, 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -14432052 (base 7) to base 14.\nAnswer: -279029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 10282 by 53.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(242)*-2 + -5 - sqrt(242) - sqrt(242)) + 1 - ((sqrt(648)*1)\/sqrt(9) + 4)) + -3)*-1.\nAnswer: 11 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4260949 a multiple of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(5000) + sqrt(5000))**2.\nAnswer: 400*sqrt(2) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2 * 0.382\nAnswer: 0.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 543875428.\nAnswer: 2, 83, 1129, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of k**5 + 39*k + 91*k + 686 - 9*k - 686 - 30*k**4 wrt k?\nAnswer: 20*k**3 - 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 - i + 19. Let k be g(-20). Suppose 2*o - k = 5. What are the prime factors of o?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t + 168. Let z(a) = -a + 341. What is -5*l(j) + 3*z(j)?\nAnswer: 2*j + 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/11, 121792, 3?\nAnswer: 121792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.11 in -2\/5, -1\/7, 3\/2, 3, -96?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2*6\/(-30)*-62*150\/120?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 0.0120224 in increasing order.\nAnswer: -2, 0.0120224, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 13 = 4*k - 3, n = -k + 9. Suppose n*s = -0*s - 36. Suppose -2*v = 3*v + 2*a + 32, -5*a + 44 = -3*v. Is v greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -34, -83, -138, -193, -242, -279?\n\"Answer: i**3 - 9*i**2 - 29*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.6 - -1. Let l(g) = -g + 2. Let s be l(-2). Suppose 0 = -s*j - 3 - 13. Which is the second smallest value? (a) j (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s + 1420 = 10*s. Which is bigger: s or -285?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (6 - ((4 - -9) + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10 greater than or equal to 95812\/9977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3\/7, -3885, 0.67?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - 1 - -4 - 62. Let x = 217 + u. List the prime factors of x.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 156450228 to the nearest ten thousand.\nAnswer: 156450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240) - -4*sqrt(240))\/sqrt(8))\/(sqrt(1210)*-2 - sqrt(10)).\nAnswer: -5*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -6*a**2 - 132*a - 833. Let v(o) = -11*o**2 - 292*o - 1664. Let n(l) = 14*r(l) - 6*v(l). Differentiate n(y) with respect to y.\nAnswer: -36*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -5*b + 3. Let z(j) = -j**2 - 82*j + 538. What is the remainder when s(-5) is divided by z(-88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 8 + 1. Suppose -5*y = n + b*n - 51, 4*n = -2*y + 30. Suppose g - 10 = -y. Solve 0 = g*j - 4*j - 4*l - 18, j - l - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -4*f**2\/5 - 8576*f\/5 + 103488\/5 = 0?\nAnswer: -2156, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 1673 + 21592 = -705*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 <= -69338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**8\/f)\/f**(-1\/13)*f**(2\/15)*f\/(f\/f**7*f*f)*f assuming f is positive.\nAnswer: f**(2576\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*n**2 - 2*n**2 + n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*q + q + 2*u, -q = -3*u + 8. Let x be q\/10*(0 - -1). Let i = 0.87 + 3.13. Which is the second smallest value? (a) x (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of -t**2\/2 - 1. Let d be 2\/(-7) + 36\/(-21). Calculate the remainder when 3 is divided by g(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14 - -68\/5. What is the closest to -2 in n, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*u - 3*z = 121, 6*z + 5 = -u + 2*z for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/(o*o**1)*o*o**(-1\/3)*o*o**3*o\/((o*o**(-1)*o)\/o))\/((o*o*(o**1\/o)\/o)**29*(o\/o**(-1))\/o*o**(-1\/2)) assuming o is positive.\nAnswer: o**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3*t**2 - 7*t - 22. Let a be u(14). Let v = a - 236. Calculate the remainder when v is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -29*q**3 + 9*q**2 + 12*q + 287245 with respect to q.\nAnswer: -87*q**2 + 18*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5225?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1\/2*a**2 + 0 + 3\/2*a**3 - 1\/2*a**4 - a**5 - 1\/2*a = 0 for a.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 7, -23 in increasing order.\nAnswer: -23, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -899125, -3596491, -8092107, -14385979, -22478113, -32368515, -44057191?\n\"Answer: -r**3 - 899119*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -4*l - 18, 3*o - 3*l + 4*l = -22. Let m(z) = 9*z - 6*z - 11*z - 2. Does 18 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 93, 111, 131, 153, 177, 203?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 + 3*c**2 + 2*c - 15. Give m(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + -312?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5921261, 5921415, 5921569?\nAnswer: 5921723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -1351*s - 23. Let o be j(9). Let r = o - -18943. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3966703 is divided by 3966690.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 PM and 6:26 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*s = -44*s + 23*s - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -0.059, -1.\nAnswer: -1, -2\/5, -0.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -258618 in -5, -3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -9140 divided by 20?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 + 138*c**2 - 259*c - 46. What is the thousands digit of y(-137)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -272 - -298. Let p = -26 + r. Solve t = -p + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the first derivative of -z**5\/4 + 5*z**4\/12 - 8*z + 12. Let c(o) be the first derivative of k(o). What is l in c(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 318 - 318. Is -1\/3 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/((-576)\/4))\/(93\/40176)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13 + 16 + 10 - 39 + 1557*k to l*k + o and give l.\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/3)\/((-2)\/24). Let o(u) = u**3 - 9*u**2 + 7*u + 7. Let g be o(d). Which is the closest to -1? (a) 5 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8194583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/8*(-20)\/(-30)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 18418 = 4*z - 3418, -2*z - 32698 = -3*c. What are the prime factors of c?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -15*j + 5098. Let f(v) = -2*v. Give f(i(b)).\nAnswer: 30*b - 10196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 146 times 86491?\nAnswer: 12627686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1350 divided by -3.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 4*m - 19*m + 2898 = 51*m for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 q when three letters picked without replacement from {w: 3, u: 11, q: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-14)*((-605)\/(-484))\/(25\/16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 PM and 10:02 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 9:32 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 106 in 132, 0, -14?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 74213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 2*s = 10. Let b = -271\/11 - -655\/44. What is the common denominator of (-111)\/165*s\/4 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7*(-3 + (-185)\/(-20) + -7)*-4 and (-1)\/(-1) - (1 - 30)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 436, 922, 1408?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 144*o**3 + 95*o**3 - 241*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*y - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/567, -3, -1096, 0.1, 0.3 in descending order.\nAnswer: 0.3, 0.1, -2\/567, -3, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 561 bigger than 561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 2573089 and 339.\nAnswer: 2573428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 103*k*o**3 + 2*k*o + 986397*k + 20653*o + 13 wrt o.\nAnswer: 309*k*o**2 + 2*k + 20653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0, 1521, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 194*h - 32*h + 109*h - 9717 = 34*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 + -2)\/(-1) - (-3)\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/((a*a\/(a*a\/(a*a**(-1)*a))*a)\/a))\/a**6*(a**(-1\/3))**(-47))**(-1\/16))**33 assuming a is positive.\nAnswer: a**(-319\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 13)*11\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14 - 14.1. Sort -1.8, -1\/4, y in descending order.\nAnswer: y, -1\/4, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9*1)\/(2 - 3). Let o(x) = x - 6*x + x**2 - 4*x + 4. What is the units digit of o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (9\/(243\/522))\/(68\/34)\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2021358903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*2\/(8\/(-10)). Let d(r) = -r**2 + 2*r + 3. Let v be d(0). Sort s, 2, v in decreasing order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 592 - 14802\/25. Let p = 11\/175 - q. What is the common denominator of (-101)\/(-2) + (2 - 4) and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -24 + 6. Let m be (-27)\/(-5) + (-2)\/5. What is the remainder when 41 is divided by 35*(z\/m + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -127 + 130. Suppose -24 = -l*s + 69. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 11:48 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 5*h + 15. What is o(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 6*o - 8. Let u(c) = c**2 - 18*c + 18. Let t be u(17). Let x(a) = a - 1. Let l(y) = t*p(y) - 8*x(y). Let w(d) = -20*d**2. Calculate w(l(h)).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 5*o + 6868 = 0, 4*u + o = 9454 - 274. Is 82 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 871*c - 2782 = 5928 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -z - 2 - 7, 5*w + 7 = -3*z. Let c = -1901\/119 + 111\/7. Do w and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1010111110100 (base 2) in base 9?\nAnswer: -7634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 15 (b) -14 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 2*a = -8. Suppose a*h - 66 = h. Suppose d - 7 = -2*t, -9*d + 3*t - 16 = -11*d. Calculate the greatest common factor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*1*sqrt(1008))**2 + 3.\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 700 - 0.7754\nAnswer: 699.2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 166480637 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 41 and 240547?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*s - 33*s + 6468 = 0. Calculate the highest common factor of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 19, 88, 203, 364, 571, 824, 1123?\n\"Answer: 23*w**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**4 - 4712*l**3 - 119*l**2 + 3?\nAnswer: 48*l - 28272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20403 - 11846. What is d rounded to the nearest 100?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 68\/3 - (-4)\/12. Let j = -16 + z. Let m = j - -5. What is the smallest common multiple of m and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/(-6) - 8)\/(-3 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 211021 - -222102012000?\nAnswer: 222110000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be 42\/60 + (-21)\/(-70). Let r(i) = -i - 10. Let m be r(-6). Sort s, m, -18 in increasing order.\nAnswer: -18, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -22*n - 8 + 6*n + 8*n + 9*n. What is h(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36 (base 10) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*r**4 + 2*r**2 - 217*r + 2 + 217*r to c*r**3 + q*r**4 + m*r**2 + n*r + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j**2 - 4*j. Let b(t) = -3*t**2 - 5*t. Calculate -3*b(p) + 4*u(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4114831485?\nAnswer: 3, 5, 274322099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 + 11587*s + 1046149. What is o(-91)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 314 + -458. Let j = 144 + x. Solve -4*l = -j*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 68 and 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 35 and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10 - (8\/1)\/1. Solve -720*x = -722*x - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-86)\/(-3) + 348\/261. Let x be 24\/(-36) + 2*16\/w. Let -2\/5*l + x*l**2 - 4\/5 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*j**2 + 7927*j**6 - 8523*j**6 + 0*j**2 - j**2 - 302*j wrt j?\nAnswer: -71520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 - -0.8. Let s = 0.2 + 0.8. Let h = 0.9 - s. Which is the nearest to w? (a) -0.5 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1087175 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2\/79 + 2603\/158. Let y(l) = 29*l + 145. Let q be y(-5). What is the closest to -0.1 in 0.1, j, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36541559*p**3 - 25853*p + 28.\nAnswer: -219249354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -507, -678, -849, -1020, -1191, -1362?\n\"Answer: -171*j - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -25. What is the greatest common divisor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 787 + -423. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34608 is divided by 17289.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**3 + p**2 - p - 20. Suppose 31*h = 27*h. Calculate k(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 53, 56, 61, 68?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 5*l = -2. Suppose -7*h = -l*h - 1170. Suppose m = -2*d + 38, -d - 68 + h = 4*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 10*a + a**3 + 3 + 0*a**3 - 17*a**2 + 6*a**2. Let c be n(10). Suppose 8*q - c*q - 135 = 5*k, -2*k + 142 = 5*q. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, n: 2, b: 1, c: 1, z: 2, v: 1}. Give prob of picking 1 z and 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 31*x**2 + 8*x - 40*x**2 + 0*x - 10*x - 7. What is n(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3668 - 3648 + 13*t - 15*t.\nAnswer: -2*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 + -4. Let t be (-6 - -3)\/(z\/1). Let w be ((-2)\/18)\/(16\/(-96)). Sort t, w, -1.\nAnswer: -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41506.\nAnswer: 2, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -543.1 + 543. What is the second smallest value in x, 5, -20, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1046a + 89?\nAnswer: -103a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 621*z + 175. Let i(l) = 931*l + 280. Let y(n) = -5*i(n) + 8*r(n). Let j(m) = 5*m**2. Give j(y(q)).\nAnswer: 489845*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 276 - 87. Suppose -v + 10*v = x. Let l be -2*(1 + (-18)\/4). What is the greatest common divisor of v and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.08 in -7\/5, -5, -0.3, -71?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -15*h**5\/4 + 1850447*h**4\/4 - 524289*h**3 + 61681*h**2 = 0.\nAnswer: 0, 2\/15, 1, 123362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 14 = 10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of h*t**3 + 561*h*t**2 - 4*h + 2 wrt t?\nAnswer: 3*h*t**2 + 1122*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 229*q - 224*q = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -42, 5, 4, 8\/21, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7821 + -11.7821. Which is the smallest value? (a) 1 (b) m (c) 2 (d) 14 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.3 + 0.8. What is the nearest to 1 in -0.4, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from {x: 8, c: 3, s: 1, l: 1, z: 1, h: 2}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -11*t**3 + 3*t**2 + 24*t + 31. Let w(o) = -10*o**3 + 4*o**2 + 25*o + 42. Give -4*b(x) + 3*w(x).\nAnswer: 14*x**3 - 21*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1038488 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -842*u + 309*u - 6929 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-11)\/(t**11\/t)*((t*t**(-7\/3))\/t*t)\/t*t**0\/t assuming t is positive.\nAnswer: t**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29609 + -29616. Which is smaller: h or -398?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*o = 3*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4, -21, -50, -91?\n\"Answer: -6*z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 1768\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*c + 2*c = c - 306 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g + 4. Let y be p(-3). Let u = 123 - 88. Let w be -2*(0 + 5\/u). Which is the second biggest value? (a) -1\/2 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 7*o**2 - 4*o + 9. Give c(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11756890 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 2*q + 4)*(-111*q + 25*q - 12*q - 3*q + 3*q + q + (-1 - 1 + 3)*(-2 + 2 - 2*q) - 3 + 2*q + 3).\nAnswer: -194*q**2 - 582*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -576 + 523.9. Let d = u + 10.1. Let b = 41.999922 + d. What is b rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n**2\/7 - 647*n\/7 - 648\/7 = 0.\nAnswer: -1, 648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f - 7. Let v be d(-5). Let b(r) = -3*r**3 - 3*r**2 + r + 2. What is the tens digit of b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/90178499 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the third derivative of -j**5\/15 - j**4\/8 - j**3\/2 + 24*j**2. Let q be (6\/3 - 2) + 4. Suppose q = -0*u - 2*u. Give g(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 5*n - 133 = 0, 3*n = 5*l - 0*n - 777. Let x = 1027 - l. Is (x - 2) + 4 - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 42a5 - -40?\nAnswer: 42e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - 3. Let x = r + 12. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 19*c**2. Let b(m) = 9*m**2 + 3504. Determine b(q(d)).\nAnswer: 3249*d**4 + 3504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be 20\/(-28)*(-1)\/((-5)\/(-2)). Let w = 133 + -2529\/19. Let n = 0.5 + -0.1. Which is the closest to -1\/3? (a) u (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23658985 and 1190.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 54470 and 3352?\nAnswer: 217880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -6) + (7 - (11 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-720)\/(-40)*(35\/14 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -5731 times -5\nAnswer: 28655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 606*r**3 - 16*r**2 - 8*r + 8. Let i(y) = -y**3 + 2*y**2 + y - 1. Calculate 3*a(t) + 24*i(t).\nAnswer: 1794*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of 77*b**5\/60 - 2*b**3\/3 - 185. Let u(p) be the third derivative of h(p). Let k(g) = -g. Calculate u(k(a)).\nAnswer: -154*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 10:17 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -726, -673, -570, -417?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - 403?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3645*k**5 + 500580*k**4 - 1155195*k**3 + 950180*k**2 - 335120*k + 43200 = 0. What is k?\nAnswer: 4\/9, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -13186232 divided by -898?\nAnswer: 14684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22 - 36. Let s = -14 - o. Let m(v) = -v**2 + v + 16. Let l be m(s). What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 441, 881, 1321, 1761?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 199 - -45. Suppose 2*m - r - 802 = -m, 0 = m - 5*r - y. Let w = -156 + m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 - 48*t - 35. Let d be w(17). Let n = d + 566. Sort -3, n, -10, 2 in decreasing order.\nAnswer: n, 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -7*f + 25. Suppose -1612 = -5*k + 2*x, 2*k - 6*k = -f*x - 1276. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10958 + 10978. Calculate the smallest common multiple of w and 2212.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w**3 - 4*w + 0*w**3 + 2*w**2 + 4 - 3*w**3 + 2*w**2. Suppose 2*k + 21 = 3*k. Let i = k - 22. Let p(r) = r**2 - r + 1. Calculate i*l(g) + 4*p(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 + 0. Let m = -0.23 + 0.3. Let y = 0.17 - m. Which is the second biggest value? (a) z (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 - 8. Let s(y) = 36*y**3 + 6*y**2 + 32. What is s(a) + 4*v(a)?\nAnswer: 40*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -4128 by -89038.\nAnswer: 2064\/44519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 1 + 6 - 8*a + a. Let x(z) be the second derivative of 10*z**3\/3 - 10*z**2 - 149*z. Calculate -14*c(v) - 5*x(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -11. Suppose f = -v*f. Suppose 0 = 5*q + 2*y - 100, -q - 5*y - 4 + 1 = f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.4154 less than -70858909?\nAnswer: -70858916.4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 985701042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -7 - 19524*l**2 + 2043*l**2 - 1 + 6 as d*l**2 + k + j*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 5 + k**3 + 0 + 2*k - 4*k**2 - 2. Let o = 871 - 867. Calculate f(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126*b + 711378 = 135625 - 2364583. What are the prime factors of b?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-2))\/(146\/(-1314))*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 4:23 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 102114 - 1034?\nAnswer: 101030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-5)*(-26)\/(-39)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 132, 86, -26, -234, -568, -1058, -1734?\n\"Answer: -5*x**3 - 3*x**2 - 2*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - l - 148 + 1130 = 0, -5*l = -3*c + 2930. Suppose v + c - 5473 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -4 + 74*n + 5 - 6 - 53*n. Let d be -11*(-1 - 0)*-1. Let i(k) = 4*k - 1. What is d*i(a) + 2*p(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (50\/(-4))\/(-1*(-4)\/(-5272))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r + r**3 + 8 + 9*r**2 - r - r**2. Let q be (12 - 10)*4\/(-1). Let f be l(q). Solve -3*s + 0*s + 12 = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -28.7 * 2998.\nAnswer: -86042.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.43 - 0.43. Let n = h - 1.027. Round n to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 8*d + 0*d**2 + d**2 - 7 + 0*d**2. Let n be (-9)\/4*8\/2. What is the units digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -356 + 355.9. Let n = -2.8 - -2.9. What is the closest to -1 in n, 7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 29*g - 30*g + 29. Calculate the smallest common multiple of 8 and g.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -6745 = -6363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/10*(-2 - -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 73*a + 882. Determine d(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/6*90\/(-40). What is the closest to 3 in 5, 4, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(171)*-1 + sqrt(171) - (6*sqrt(171)*-2 - sqrt(171)))*5)\/((sqrt(324) - (-5*sqrt(324)*2 + sqrt(324)))*-2).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*u - u + 9*u + 6*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(8\/3)*o**(-24))**(-22))**(-18) assuming o is positive.\nAnswer: o**(-8448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -942 + 954. Solve p - 34 = -4*p + 3*v, d = -4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -29? (a) -0.9 (b) -2\/9 (c) -0.2 (d) 11 (e) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 32598248 divided by -281?\nAnswer: -116008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b**3 + 37*b**2 + 89*b + 50. Let l(s) = -5*s**3 + 75*s**2 + 180*s + 100. Let v = -131 + 136. Let n(j) = v*k(j) - 3*l(j). Factor n(w).\nAnswer: 5*(w - 10)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 719 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1 + -4.1. Let j be 82\/8 + (-2)\/8. Let b be (-5)\/j + (-1)\/6. Sort b, p, -1\/5.\nAnswer: p, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 345034895.\nAnswer: 5, 29, 431, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 53 + -57 + 5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*z + 5*z - h - 21, -2*h = 3*z - 23. What is the closest to -0.1 in -4, -17, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -33\/205640 or 0?\nAnswer: -33\/205640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.7 in -0.3, 0.2, -1.49?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8051557.\nAnswer: 17, 397, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 320 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 9*c - 1)*(-1 - 2 - 1).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1014, -8052, -27186, -64464, -125934, -217644, -345642?\nAnswer: -515976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 x when three letters picked without replacement from {o: 1, r: 1, f: 7, x: 3}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 1. Let z(s) = s - 3. Let t(a) = 2*d(a) + z(a). Let x be t(1). Let c be (x + 100\/6)*402. Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, p: 2, i: 2, z: 1, u: 1, c: 3}. Give prob of sequence ppuz.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 + 264*k + 17411. Calculate r(-137).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/952 and -15\/42007.\nAnswer: 336056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 14 + (20 - (12 - (22 + -57)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.4 - -4.4. Let u = -7 + d. What is the third smallest value in 2\/9, u, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35528307 + 37074198.1. Let n = d - 1546011.09771. Let i = n - -120. What is i rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1041 + -738. Let h = d - 289.1. Let o = 13.824 - h. Sort -0.2, o, -0.3 in descending order.\nAnswer: o, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1011 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 4 - (1 + (-2 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7827*f**3*t + 179*f**3 - 452*f**2*t - 2*f**2 + f*t - 149*f wrt f.\nAnswer: -46962*t + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 889721.7 meters to micrometers.\nAnswer: 889721700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 496677 or 496675?\nAnswer: 496677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -11*t + 12. Suppose -27*r**5 - 45*r + 165*r**4 + 18*r**3 - 18*r**5 - 90*r**3 - 158*r**3 + 150*r**t + 5 = 0. Calculate r.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 4*k - 2 = 0, 0*k - 7 = -4*y - k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 21864509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5 = -g, -2*g - 3 = -3*g + 3*j. Let a(b) = g*b - b + 11*b. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 7*a + 17. Let h(k) = 20*k + 50. Let z(o) = 17*c(o) - 6*h(o). Calculate z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 0.090763206?\nAnswer: 0.363052824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000110101100 + 111011?\nAnswer: -1000101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**10*u**(7\/3)\/u*u*(u*u**2\/u*u*u)\/(u\/u**(-1\/5)))**(-19) assuming u is positive.\nAnswer: u**(-4313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(1\/13))**(4\/17) assuming a is positive.\nAnswer: a**(48\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -74 + 143 - 69 - 7*u**3 - 2*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -227, -0.195, -637 in decreasing order.\nAnswer: -0.195, -227, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4518 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-1246)\/(-267)*(-54)\/(-21) + (-9204)\/768\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -9*c + 7. Let i be -1 - 2\/4*-2. Suppose -u + 2*r = 0, -3*u + 7*r - 4*r + 3 = i. Suppose -g - 42 = u*g. Let j(v) = 4*v - 3. Determine g*j(t) - 6*b(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3048350 + -60880603\/20. Let u = -4317 + i. What is the common denominator of -87\/130 and u?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n + 2. Let d(z) = -6*z - 6. Suppose -w + 2 = -2. Let o be (w - 3)*-11*1. Calculate o*p(v) - 4*d(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p\/p**4)\/p**1*(p\/(p*p**(1\/5)*p))\/(p*p\/(p\/p**(2\/21))))\/(((p\/(p*p**1\/p*p*p))\/(p\/(p*p**(4\/7))))\/(p*p**(-1\/4))**(12\/11)) assuming p is positive.\nAnswer: p**(-503\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k**(-3\/4)*k*k\/(k\/(k**(-19)*k)))**(-3\/14))**(3\/26) assuming k is positive.\nAnswer: k**(81\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - u - 8297, -16*c + 13*c - 5*u + 6240 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 71508083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 311*f**3 + 100*f**2 - 94*f - 4. What is c(1)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000968 to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13278, 13248, 13216, 13182, 13146, 13108, 13068?\nAnswer: 13026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 - -5. Suppose 2*x - t = 6*x. Let m be 3259999\/x + (6 - 91\/14). Round m to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(912) - sqrt(57))\/sqrt(3)*6 - (((sqrt(95) - (sqrt(95) + sqrt(95)*1)) + sqrt(95))*1)\/(-2*sqrt(80)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 50675171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.39, 5, 0.02.\nAnswer: 0.02, 0.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -2\/13, 3, 0.1, -4, 221\/5 in decreasing order.\nAnswer: 221\/5, 3, 0.2, 0.1, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6663, -6666, -6671, -6678?\n\"Answer: -p**2 - 6662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.5 - -3.8. Let y = 1.7 - n. Which is the smallest value? (a) -2\/17 (b) -5\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 3*m = 11, 4*k = -k + m + 15. Let x(g) = g**3 - g**2 - g - 72. Let i be x(0). Let q be i\/105 - (-2)\/7. Put 0, q, k in decreasing order.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-1)*(t*t**6*t)\/t)\/(t*t**(1\/11)*t**(-3))*(t**(5\/4)*t**(-6))**(6\/19) assuming t is positive.\nAnswer: t**(207\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 47 + -8. Let j(h) = -h + 9. Let b be j(8). Calculate the remainder when c is divided by (-195)\/(-24) - -2 - b\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of k**7\/210 - k**3\/6 - 2*k**2 - k. Let t(x) be the first derivative of z(x). Find the first derivative of t(r) wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000223147 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.2, -0.1, 2035, 4, 6 in decreasing order.\nAnswer: 2035, 6, 4, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*u - 3*u + 2*u)*(2 + 3 - 3).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 527 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/(-3)*(-14 + 2). Suppose -2*a + 12 = c*l, -5*l + 41 = -6*a + 2*a. Let z = l + -4. Sort z, -1, 3 in descending order.\nAnswer: 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 264*a + 260*a - 534*a)*(32*a - 77*a - 17*a - 57*a).\nAnswer: 1190*a**2 - 238*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -35, -56, -77, -98?\n\"Answer: -21*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q + 2. Let z = -24 - -13. List the prime factors of c(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 0 + (sqrt(120)\/(-1*sqrt(10)))\/(sqrt(216)*-3 + sqrt(6)).\nAnswer: sqrt(2)\/17 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 49611817\/2 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000941 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**2 + 5*h - 10. Let m = -19 - -12. Let o be n(m). Suppose o*b = -7 + 95. Calculate the lowest common multiple of b and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 4*h - 1732*h**2 - 13 + 868*h**2 + 860*h**2. Let i(k) = k**2 - k. Calculate 5*i(f) + v(f).\nAnswer: f**2 - f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the first derivative of -r**2\/2 + 2*r + 3. Let d be b(3). Let f = d + 1. Solve f = -5*k - 5 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -143260, -286562, -429866, -573172, -716480, -859790, -1003102?\n\"Answer: -k**2 - 143299*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 675*d - 2199. What is the ten thousands digit of h(48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3231\/14 + -33143\/140. Which is greater: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -159*f**2 - 162*f**2 + 21*f**2 - 399*f**3 + 39*f**3 - 63*f**4 - 3*f**5 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 3*h - 29 = -3*m, 13 = -5*m - h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-78)\/8*2*-2. Let o be u\/4 + 1\/4. Is (-276)\/(-10) - (-4)\/o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from eeeeeeeeeleeeeleeee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -3*s**2 + 6. Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 292, 2, -8 in descending order.\nAnswer: 292, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/((f\/(f**1\/f))\/f*f)))\/f)**(1\/26))**(-1\/8) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-2397*(-38)\/7752?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4\/6 - 19*y**3 + 1071*y**2\/2 + 684*y - 19494.\nAnswer: (y - 57)**2*(y - 6)*(y + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 462 + -459. Let x be (-62)\/(-14) + n\/(-7). Solve -a + x = 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - w - 400, -4*y - 2*w + 560 = 172. Let q = y + -71. Let h = 1 + q. Solve -l - 10 = 5*b - h, -2*l + 2*b - 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -126*o**2 - 119*o**2 - 123*o**2 + 491*o**2 - 121*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 59845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -x**3 - x**2 - 2*x + 3*x**2 + 0*x**2 + x**2 as l + p*x + t*x**2 + i*x**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 588887?\nAnswer: 13, 97, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7740 + 7741. Let k = 29 - -42. Put k, -2, f in increasing order.\nAnswer: -2, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uxuuuaauxuuuu. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-28)*12\/13)\/9.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53619 + 61019 = -185*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3160 and 20?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1078 is divided by 2 + -1 + 3 - -36.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6 (b) -4 (c) -2 (d) 6\/5 (e) -0.2 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5518 - -5521. Let q(r) be the second derivative of -14*r + 0*r**u + 0*r**2 + 0 + 1\/3*r**4. Suppose q(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2501093 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -m**6\/60 + m**5\/30 - m**4\/4 + 5*m**3\/3 - 5*m**2 - 8*m + 59. Let y(g) = g + 1. What is d(c) - 10*y(c)?\nAnswer: -2*c**3 + 2*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1226*h**4 - 2*h**2 - 1059*h**4 + 3091 - 69*h**4 + 2*h**2 wrt h.\nAnswer: -9416*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5191345?\nAnswer: 5, 1038269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2 = 3*i, 4 = 5*i - 3*j - 0. Solve 3*b + c = -2*c, -i*c = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 - (-4074)\/(-238) - (-17655)\/510)*(1 + 1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.1 - 0.6. Let h = 2.7 + -0.7. Let p(d) = -d - 1. Let i be p(-5). Which is the third biggest value? (a) k (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2200 and 3750.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 7844.021 nanograms in milligrams?\nAnswer: 0.007844021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 - 7*v**2 + 8*v - 9. Let c be x(6). Put -3, c, 0 in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -38.691416 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.742 + 0.742. Let d = 2.2 + -2.5. Which is the closest to 1? (a) h (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1895287794 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.07392*0.0338\nAnswer: -0.002498496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - -4. Suppose 0 = 10*t - y*t. Suppose t = -5*a + 3*a + 4. Solve -2 = -d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14889784.\nAnswer: 2, 7, 13, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 5)*(-2 + 6 + 1)*(-6 + 6 + 3*i**4).\nAnswer: -45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 23 - 15. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -401 + 636. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -742*u. Let g(v) = 22*v**2 + 3*v - 1. Give o(g(r)).\nAnswer: -16324*r**2 - 2226*r + 742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*o - 299 = -3*o - 11*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 6 - 2)*(1 + 1 - 3) + 0 + 5 - 4 + 2 + 2 - 1)*(y - 2*y + 0*y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.189936 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*h**3*z**3 - h**3 + 62*h**2*z**2 + h**2*z + 109*h + z**3 wrt z?\nAnswer: -12*h**3*z + 124*h**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112*t + 444*t + 3*t**2 - 83*t + 146*t.\nAnswer: 3*t**2 + 619*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 - 8.5. Let c = 4.0165 + -2.51755. Let u = n + c. Round u to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 239942000 rounded to the nearest one million?\nAnswer: 240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*o**3 + 203*o + 203*o - 406*o.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -60*i + 40 + 83*i - 49*i - 31*i. Is w(-3) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s - 1. Let p be f(0). Let n be p - (30\/2)\/(-3). Solve 0 = -n*g - 10 + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(200)\/sqrt(4) - (-1*(2 + sqrt(288))**2 - sqrt(288))) + 3.\nAnswer: 65*sqrt(2) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4687*l + 1182400 = -14868*l - 1203310 for l.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 19 = -2*b + 45, -5*t + 5 = -5*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*a**3 - 4*a**3 - 11*a**2 + 5*a**2 + 2*a**3 + 11.\nAnswer: 10*a**3 - 6*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2820.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*d**2 - 108*d**2 - 115*d**2 + 198*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g**3 - 3*g + 16. Let r be m(5). Let z = r + -246. Suppose -t - 3*h = 8, -4*t - 2*h + 14 = 6. Solve 5*f + 5*p = z, 0 = f - 3*p - t - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14634173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*w - 67 = -1. Let p be (-19)\/w*(-2 + 8). What is the highest common factor of p and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 115545 + 27769*a - 115545 to the form c*a + g and give c.\nAnswer: 27769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + 3*c + 79, 0 = -7*f + 3*f - 5*c - 163. Let z = f - -51. What is the highest common factor of z and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -660*23\/(-1035)*(-3)\/4*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 429 and 390?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be (12\/9)\/(5\/(-45)). Let r be 3\/4 + 21\/j. Let o be ((-4)\/(-52))\/(r\/2). Which is the closest to 1\/3? (a) -1\/3 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and 609.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -83 - -74.9. Let w = -25.9 + f. Let d = w - -27.8. What is d rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4231411 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.02 (b) 5\/4 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10001010101 (base 2) to base 11\nAnswer: -919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u - 1. Let w(d) = 5*d + 1. Let p(h) = -6*l(h) + w(h). Let n(x) = -x + 9. Let t(v) = 4*n(v) - 5*p(v). What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -82 + -119. Let i = z + 187. Sort 5, i, 3 in decreasing order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -4*p + 5. Let a be -14 + 9 - (-7 + 2). Let b be k(a). What is the greatest common factor of 40 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2366, -4731, -7104, -9491, -11898, -14331, -16796?\nAnswer: -19299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1545732 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be -2 - (5 - (-104)\/(-20) - 2). Determine i so that 0*i + 1\/5 - a*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/165 - -19\/55. Do 228 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**3\/3 + 2368*g**2\/3.\nAnswer: g**2*(g + 2368)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 3*n**2 + 33 - 5*n**2 - 33 - 2*n**2. Let t(g) = -476*g**2. Calculate t(b(y)).\nAnswer: -7616*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + 4. Suppose -2*l - k = 2. Which is smaller: l or -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 97774.79 decades?\nAnswer: 11732974.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxnxxn. What is prob of sequence xx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*d + 60*d - 16 = -4*t, 15 = 3*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in 5, 1, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 10931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**3 - 16*a**2 + 3*a - 28. Give b(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 3:50 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1338.8 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9.7 + 9. Let f = a + -0.1. Let k = 4.2 - f. What is the third biggest value in k, 2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1731*p**2 - 3467*p**2 + 1716*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 413328 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*l - 9*l + 3240. What is the highest common factor of l and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w + 11. Suppose 0 = 2*h - 7*h + 4*i - 74, 4*i + 52 = -4*h. Let x be u(h). What is the units digit of 2\/x + 44\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 11*j**3 - 2*j**5 + 11*j**3 + (-80 + 14 - 1)*(-2*j**4 - j**5 + 2*j**4).\nAnswer: 65*j**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 133, 718, 1939, 3988, 7057, 11338, 17023, 24304?\n\"Answer: 32*c**3 + 126*c**2 - 17*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 26470\/11 - 2408. Let u = 76\/33 + h. Let s = -135 + 679\/5. Which is the nearest to u? (a) s (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12636 and 15845544.\nAnswer: 15845544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -111 - (185 - 271)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1306.6 - -1307. Let q = -131 + 257\/2. What is the third smallest value in 2\/3, 1, y, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*x + 8*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -25*v**4 - 1385*v**3 + 8315*v**2 - 13635*v + 5490 = 0.\nAnswer: -61, 3\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g**3 - 16*g**2 - 10*g - 12. Let y be v(-9). What is the greatest common factor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 9, w: 11}. What is prob of sequence mww?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2\/(-4) - (-74)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/((-20)\/(-12)*33). Is a <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.6 + -0.4. Let v = 2 - y. Let s be 3*20\/12 - (-12 + 13). Which is the second biggest value? (a) s (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0*5.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -27*a - 8. Let i be l(-1). Find the third derivative of 12*g**3 + 18*g**3 + 5*g**3 - g**2 - i*g**3 wrt g.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12198 and 3040.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2\/15, 3\/2, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 4*m + 5 = -8*a, 3*a = -5*m - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -116, -238, -360?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -192448, -384861, -577272, -769681, -962088, -1154493, -1346896?\n\"Answer: x**2 - 192416*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1\/146, 33, -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 3 = 9. Let m be j - (3 + -7) - 4. Put 2\/3, 0, m in descending order.\nAnswer: m, 2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 3*z + 3 = 0, 3*s - 6 = 3*z + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c - 4*c + 3*c)*(-5*c**2 + 0*c**2 + 3*c**2) - 59*c**3 + 6*c**3 + 124*c**3.\nAnswer: 81*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3\/22, -2, -33.\nAnswer: -33, -2, 3\/22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -341585238 take away 0.13?\nAnswer: -341585238.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -737012 - -1507753. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4170.611 kilometers in nanometers?\nAnswer: 4170611000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(60\/(-33))\/4*116\/1305*-18?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let c = 0.01 + 0.29. Let b be (3 - (5 + -2 + -3)) + -3. Suppose b = d + d + 4. What is the nearest to 1 in c, d, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 3*c - 14, -3*c - c + 3*z + 17 = 0. Suppose c*b + 27 = 2. Let t be 30\/(-108) + 3\/6. What is the second smallest value in b, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58159087 to the power of 1\/2, to the nearest integer?\nAnswer: 7626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3228 + 1184. Let l = q - -1067. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18487 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7.49232ms in hours?\nAnswer: 0.0000020812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1103 + 1207 = -13*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 - (-3 - -4 - -6) and 87?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = x + 2*y, -3*x - 7 = -5*y + 23. Let k = x - -8. Let o(m) = m**k + 7 + 0*m - m - 2*m**3. Calculate o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*f**2*g**2 - 47127*f**2*u**2 - 2*f*g**2*u - 3*f*g*u**2 + 2*f*g*u + 81*f*u**2 + 30*g**2*u + 3*g*u**2 - 7 wrt f?\nAnswer: 32*g**2 - 94254*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 6*b + 4 = 0, 4*l = -4*b + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*t**2 - t**2 - 28 + 8 + 13 to the form f + g*t + x*t**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19251 + -10167. Is f a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rzcborcgz. Give prob of sequence rz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -63*b. Suppose 748*g = 4*c + 753*g + 92, 3*c + 96 = 3*g. Let t(m) = -5*m + 6*m + 6*m. Give c*t(j) - 3*o(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 - 19*g**2 - g - 15. Let k be a(-19). Suppose -2 = -3*f + 19. Solve -t = j + 9, k*j + 28 - f = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/9))**(-1\/6)\/((r\/(r*r**(1\/2)\/r*r*r*r))\/r*r*r**(-13)) assuming r is positive.\nAnswer: r**(839\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 114 - 66. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 1030*b**2 - 595*b - 85. Let n(k) = -73*k**2 + 42*k + 6. Let v(s) = -6*d(s) - 85*n(s). Let q(i) = -12*i**2. What is -7*q(p) - 3*v(p)?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4594.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*n - 0. Let j(u) be the third derivative of u**5\/60 - 2*u**4\/3 - 17*u**3\/6 + 24*u**2. Let t be j(17). Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-12))\/((-1)\/3)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -45.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -73549308.2 rounded to the nearest 1000000?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1.3, -4\/23, 1?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1368198 and 3510.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(245) + sqrt(5))**2 - (sqrt(5) + sqrt(245) + 5) - (3*sqrt(405) + 1 + 4 + sqrt(405)*3))*-1.\nAnswer: -326 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3400*m**3*s**3 + 3*m**3*s**2 + 171*s**2 wrt s?\nAnswer: -20400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11b764 + 1b?\nAnswer: -11b747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (429\/4290)\/(2\/(-10)). What is the nearest to 286\/5 in -0.2, 1\/5, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2765422778954 + -2765422777568.000000587. Let l = -2355 + 969. Let z = l + y. Round z to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*x - 3 = -10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -5. Let p = 6 + s. Let u be -1 + (4*-1)\/(-2). Which is the smallest value? (a) u (b) p (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g*(g*g**(-1\/3)*g)\/g*g*g)\/g)**(1\/65))**(-2\/75) assuming g is positive.\nAnswer: g**(-22\/14625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*q + 40 = -4*q. Let r = -9 - -21. Solve -q*f = -f - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -35*l*s + 122*l - 45939*s with respect to l.\nAnswer: -35*s + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.5 - 0.5. Sort 2, -0.08, t in increasing order.\nAnswer: t, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n + 0*n - n)*(3*n - 2*n - 2*n) + (0*n - 5*n + 6*n)*(-n - 2*n + 0*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*s = 26*s + 18. Suppose -6*k + 3*k - 3*j + 19529985 = 0, 2*j = s*k - 13020010. Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(11 + (9 - 21)) + -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 0, -1, -3, -14831.\nAnswer: -14831, -13, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a. Let c(u) = 6*u - 5. Let v(w) = -3*w + 3. Let x = 19 - 16. Let y(p) = x*c(p) + 5*v(p). Give h(y(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 + 26. Suppose -3*l - t = -y*l + 20, -3*l + 12 = -t. Solve l = 2*d, 3*u - u - 10 = -d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**21*(c**0*c)\/c*(c\/c**(-1\/5))\/c**(-3\/4))**(2\/19) assuming c is positive.\nAnswer: c**(459\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -0*h - 2. Solve r - h*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -263 - -270. Solve 4*k + 3*j + w = 5*k, 4*k + 3*j + 32 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h + 7. Let l(b) = b + 2. Let g(r) = 7*r - 1. Let z(s) = -g(s) + 5*l(s). Calculate -8*c(a) + 5*z(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 7*j + 43. Let d(t) = -4*t - 21. Let q(s) = 5*d(s) + 3*x(s). Let a(m) = m + 26. Let u be a(-10). List the prime factors of q(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -3*j. Suppose -5*d + 9 = -2*s - s, 12 = -4*s. Let l(y) = 4 - 4 + d - y**2. Determine h(l(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) + (3 + sqrt(180))**2 - (sqrt(5) + -2*sqrt(180)).\nAnswer: 48*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 376 and 3023980.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2. Let z(w) = 144219*w. Calculate z(a(x)).\nAnswer: -144219*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27ca4 (base 14) in base 5?\nAnswer: 11123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 411*q - 4418 - 5665 + 3096 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-2431)\/102 + 3 + 21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cvvv when four letters picked without replacement from ccvvcvvvcvvvcvcc?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of c**4 - 30*c*n**3 + 350*n**3 wrt c?\nAnswer: 4*c**3 - 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85) + ((sqrt(85) - (3*sqrt(85) - sqrt(85))) + sqrt(85) - sqrt(85)) + sqrt(85))\/sqrt(5)*5 + -4*sqrt(153)\/sqrt(9)*-3)*1.\nAnswer: 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j**4\/3 - 392*j**3\/3 + 394*j**2 - 1184*j\/3 + 395\/3 = 0. What is j?\nAnswer: -395, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -11000000100 (base 2) in base 4?\nAnswer: -120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -21791 divided by 11\nAnswer: -1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*z + 15 = 16*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 23638002*j**3 - 17470*j**2 - 828*j + 1.\nAnswer: 141828012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -5*w**2 - 9*w - 6. Let d(v) = 2*v**2 + v + 2. What is -2*d(n) - t(n)?\nAnswer: n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 4*o + 42. Let k be z(-13). Let y = -28 + k. Is -39 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 22457 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*z**2 - 17*z**2 + 22*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 50537380.1 from 5.4.\nAnswer: -50537374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 9 = 5*m. Solve r + m*r = 3*l + 8, 2*r - l = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/84 and (-4 + (-538)\/(-144))*-3?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 4*i + 1. Let t(b) = b**2 + b - 4. Let d be t(-3). Let a be d\/4*2 - -1. Let f = a + 1. What is c(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-7)\/(-2)) - (-16)\/(-56).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1066*y**3 - 2*y**2 + 201*y.\nAnswer: -6396*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 654.9 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + -12. Let d = -36 + 35.8. Sort a, d, -1.\nAnswer: a, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -89687323\nAnswer: -5\/89687323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 214 + -214. Let u be (h + (-24)\/(-30))*5\/(-2). Which is the closest to u? (a) 0.4 (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-31)\/(-310)*2*1*-3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 62\/39 and 109\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1298511222*u**2 + 254360443*u wrt u.\nAnswer: -2597022444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2840*u**2 - 622*u - 2. Let d(j) = -4*j. Calculate c(d(f)).\nAnswer: -45440*f**2 + 2488*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1020471 and -5?\nAnswer: -5102355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1646*c - 1646*c + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -71\/222 - 1\/74. Let s = -0.1 - -0.1. Suppose -2*q = -2*d - 3*d - 13, -3*q - 12 = 3*d. What is the closest to s in w, q, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*o + 21 = -0*o - o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 94153, -5, -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -55 + -29.56.\nAnswer: -84.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*m**3 - 58420*m**2 + 280195*m + 65150 = 0.\nAnswer: -1303, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2304, 4578, 6852?\nAnswer: 9126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n - 20. Let l = -35 + 52. Let q be w(l). Let c = q - -64. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -48*(-10)\/9920*(12\/9)\/(-1)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -2*i + 508. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 4*d. Let n(o) = 13*o. Let k(c) = -7*j(c) + 2*n(c). Let t(r) = -59*r + 10. Let u be t(-3). Let h(l) = 9*l + 187 - u. Determine h(k(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - -12131133?\nAnswer: 12131121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 433416957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 6, v: 4, c: 2, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9958968.\nAnswer: 2, 3, 138319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i = 4*i. Suppose 3*n + 5*d - 15 = i, -4*n - 5*d + 20 = -0*n. Let k(b) = b**3 - 5*b**2 + b + 5. List the prime factors of k(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19075800 divided by 6.\nAnswer: 3179300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 18.48 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 6*q + 3. Suppose 2*j + j - 6 = z, 0 = 3*j - 3*z. Suppose 11 = j*v + 20. Suppose 8 = 14*m - 18*m. Let c(t) = -5*t - 2. Calculate m*a(w) + v*c(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 87311.04 - 85919. Let g = l + -1611. Let m = g - -207. Round m to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1227275184 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 30970 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 28, 97, 212, 373, 580?\n\"Answer: 23*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 420 or -7734?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*a - 1 + 1.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2389411 is divided by 597352.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-9)\/(-6))\/((-2)\/(-4)). Let m(d) = d**3 + 0 + d**2 + 12*d - 3*d**2 - 8*d - v. What are the prime factors of m(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 1. Let q = 6.1 + f. Which is the third smallest value? (a) 1\/4 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 10:40 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -4. Suppose 2*o - 5 - 11 = -r, w*r = -2*o + 52. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 26*w**3 + 2*w - 2. Is r(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 232 - ((2 - 1) + -4). Suppose -3*m + b + 122 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.125 and 0.0717971.\nAnswer: 0.0089746375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**3\/3 - 34*c**2 - 218*c\/3 + 106.\nAnswer: 2*(c - 53)*(c - 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 42864 + -21?\nAnswer: 42843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 457 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 4*z. Let q be h(-1). Let k be q\/(-18) + (-100)\/(-36). Solve t - 4*s = 4 + 3, -t - k*s = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 49, 99, 167, 253?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from lznlzljlcc?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 2224 = -5*c, -3*c = z - 1026 + 290. Calculate the greatest common factor of 484 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, x: 5, w: 1, a: 11}. Give prob of sequence xt.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 4*m + 10. Let y(u) = 1. Let t(d) = o(d) - 10*y(d). Let k be t(3). What is the greatest common factor of 48 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 12*f = -10*f + 24, -f + 8 = h. List the prime factors of h\/(-120) - 5299\/(-84).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -15912, -32201, -49232, -67377, -87008, -108497?\n\"Answer: -62*w**3 + w**2 - 15858*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22.01132 - -22. Round f to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -142\/7, 25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 8*u**2 - 22*u. Let j(o) = -15*o**2 + 83*o + 252. Let z be j(8). Let c(b) = -b. What is z*c(w) + 2*d(w)?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.00745608*2.\nAnswer: -0.01491216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -18, -3, -4732, -4, 226 in increasing order.\nAnswer: -4732, -18, -4, -3, -1, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 442.\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - 6) + (14 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/7*((-231)\/(-24))\/(-11)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2637 - 2710 = 73*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -95c - -60605?\nAnswer: 5da87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136)*-1*5*-4)\/(sqrt(16)\/(4*sqrt(242))).\nAnswer: 880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -34768*s. Let z(i) = -7*i**2. Give x(z(m)).\nAnswer: 243376*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b - 11. Let k be (-15)\/12 - -1 - 13\/(-4). Let a(f) = 4*f - 20. Let x be a(k). Determine z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3787*s**2 + 7*s**3 - 3793*s**2 - 3788*s**2 + 11368*s**2 + s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 5*s - 3 = 0, 2*n = -2*s - s + 3. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22412731361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 303 or 301?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**3 - v**2 + 5. Suppose 0 = 5*d - 4*t + 55, -2*t - 36 = 2*d + 4. Let k be ((-63)\/(-12))\/(d\/(-20)). Suppose 0 = 5*o - k*o. Give l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 - -0.73278\nAnswer: 0.83278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -14*p**2 - 3*p - 2. Determine u(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 4*w + 4. Suppose a = -2*q + 11, 352*q + 23 = 356*q + 3*a. What is x(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 162*k + 9168. Let f be y(-54). Calculate the highest common factor of f and 14595.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/((-9088)\/(-1510) - 6). Let c = k + 108. What is the third biggest value in c, -0.3, 5, 55?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort 329, 48\/181, 2\/3.\nAnswer: 48\/181, 2\/3, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -135 < -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5726978?\nAnswer: 2, 29, 293, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.33444 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 + 4*i**2 - 1. Suppose 0 = -2*c - 109 + 397. Let b = c - 146. Give a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 - 6*m**2 - 8*m + 8. Let g be u(7). Let p be (-1)\/5 - 0\/g. Let n = 50 - 50.1. Is p < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 38192744 divided by 18118\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n**3 - 17*n**2 + 5*n - 310. Let l(z) = -3*z**3 - 24*z**2 + 7*z - 464. Determine 7*f(s) - 5*l(s).\nAnswer: s**3 + s**2 + 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -2*w**2 + 2*w + 6. Let r be 22\/(-7) + (-192)\/(-168). Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26 + 3*o - 142 - 117.\nAnswer: 3*o - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2. Let h(k) = -28*k**2. What is v(h(u))?\nAnswer: -784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**9)**(-26)\/(z\/(z\/(z\/(z*z**7)))*(z**(-2\/7)*z)\/z) assuming z is positive.\nAnswer: z**(-1587\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y - 6. Let q be i(-4). Let s be (-1)\/q + 21\/(-6). Let d(x) = -1 - 4*x + 3 - 5. Determine d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -253 - 13?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the third derivative of -13*x**4\/12 + 33*x**2 + 2*x. Let z(k) = 0*k + k - 2*k. Calculate z(n(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -5 times -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 816 - 438. Let t = 380 - x. Solve -t - 2 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 310126 is divided by 546?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, c: 5}. Give prob of sequence dccc.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-399)\/(-4) - 1\/(-4) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/3*18\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 4 = 3*p. Let m(c) = 2*c + 16. Let t be m(-15). Let y = p - t. What is the lowest common multiple of y and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -3*f - 8. Let w be (-1)\/(2 + (-11)\/6). Let s be b(w). Solve 0*z + 7 = -5*z - 4*h, 4*z = 2*h + s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lxlxlgpgxrxrlrprrrgp. Give prob of picking 1 r and 1 l.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**2 + 17656*z + 1. Let m(d) = -d. What is m(x(g))?\nAnswer: 2*g**2 - 17656*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.023 + 0.03. What is f rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 98 and 357.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from szzzzzsszzzss. Give prob of sequence zzzz.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + 0*i + 3*i)*(-14 + 3 - 5)*(i + 0 + 0).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 - 0.002.\nAnswer: -14.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -21*d - 18. Let n(s) = -s - 1. Let c = 9 - 6. Let y = 133 - 79. Suppose -c*g = -0*g + y. What is g*n(u) + w(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 + 5*h**2 + 12*h - 61. Let p be l(4). Solve -2*f = -3*k - p, f + 5 = -2*k + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -73, -88, -113, -148, -193, -248?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/3? (a) 27 (b) 1 (c) -6.9 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/8, -870, 4, 25 in descending order.\nAnswer: 25, 4, -1\/8, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in -14, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 1233 divide 42550830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103*f - 98*f = 0. Solve f = -19*p + 2*p - 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 109 - 54. Let u = 55 - g. Let x = -207 + 217. Solve u*p = -5*p - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-84))\/(((-252)\/49)\/9*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.2 + -1477289\nAnswer: -1477288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 20021 (base 3) in base 12?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u + 2. Let o be n(-5). Let f = o + 3. Let b(k) = -k**2 + 5. What are the prime factors of b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8*3\/12*2. What is the third derivative of -4*n**2 + 77*n**5 - 389*n**o + 3*n**2 + 391*n**4 wrt n?\nAnswer: 4620*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 751198364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -31*b**2 + 6*b - 8. Let r(h) = -10*h**2 + 2*h - 3. Let a(s) = -6*o(s) + 17*r(s). Let j be (12\/(-4) + 4)*-5. Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 13132\/(-80) - (-1)\/(-4). Let x = u - -165. What is the third biggest value in -4\/7, x, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qd when two letters picked without replacement from {i: 2, x: 2, d: 6, s: 3, h: 4, q: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 806, 1616, 2426, 3236?\n\"Answer: 810*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40296.\nAnswer: 2, 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 7*r**4 - r**3 + 430*r**2 + r + 1. Let i(q) = q**4 - q**3 + 2*q**2 + q + 1. Let n(s) = -i(s) + z(s). What is the third derivative of n(w) wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 967 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 816 = -15*x + x. Calculate the greatest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 782792173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1551853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 13*r + 12. Let j(n) = -3*n - 4. Let a(u) = 7*j(u) + 2*p(u). Let t(v) = 17*v + 2. Calculate t(a(k)).\nAnswer: 85*k - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -46 + 136\/3. Put c, -5, 1\/9, 5 in decreasing order.\nAnswer: 5, 1\/9, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/6)\/(42\/28)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -61*l**2 + 5*l + 14. Let h be m(-2). Let v = h - -256. Suppose 4*s - 56 = -5*u, s + 0*u - 14 = 5*u. Calculate the lowest common multiple of v and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -3. Suppose -2*o + 3*o - 2 = h. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30 and 11408340.\nAnswer: 11408340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 128 divide 22744331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -12.4979 * -45\nAnswer: 562.4055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 1.7, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 981 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3842863*r**4 + 6954*r**2 + 230?\nAnswer: -92228712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2282*v**2 + 2*v**3 - 944*v**2 - v + 1341*v**2.\nAnswer: 2*v**3 + 2679*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 10:43 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(96)*2)\/(5*sqrt(10)\/sqrt(5)))**2.\nAnswer: 384\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6884 is divided by 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + k = -48. Suppose -3*o = -4*g + k + 21, 0 = -5*g - 3*o + 48. Suppose 0 = -2*f + g*f + 7. Which is greater: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1484496 is divided by 1556.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -5*b + 374, -b + 74 = -0*b - q. Suppose 11*w + b = -23. Let g(i) = -i + 5. What is the remainder when 97 is divided by g(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -48 (c) 3\/8 (d) 0.15 (e) -12 (f) 4 (g) 1.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17*x**3 + 5*x**3 + 7*x**3)*(-5 + 5 + 6*x) to z*x**3 + b*x**2 + u*x**4 + r*x + s and give u.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the third derivative of 2*y**2 + 0*y**3 - 5\/3*y**4 - 1 + 0*y - 71\/60*y**5. Find the second derivative of j(m) wrt m.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-10))\/(377\/(-65) + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000026789775 rounded to 7 decimal places?\nAnswer: 0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2597 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -21*b**4 - 5*b**3 - 3*b + 26. Let j(z) = -43*z**4 - 12*z**3 - 7*z + 52. Let n(h) = -3*j(h) + 7*r(h). What is the derivative of n(k) wrt k?\nAnswer: -72*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2\/(-6) + (-1286)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27584 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**14*f)\/(f\/f**(-2\/7)))\/((f\/(f*f\/(f\/((f\/(f*f**(-4\/3)))\/f))*f))\/f)**(-17\/6) assuming f is positive.\nAnswer: f**(1021\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 7*h - 360 = 3*h, 5 = -h. Let t = 2 + 2. Suppose 0*w = t*w - z. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of j**4\/66 - 47*j**3\/33 - 98*j**2\/11 + 69*j - 1. Determine m, given that t(m) = 0.\nAnswer: -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x - 47*x**3 + 6*x**3 - x - 54*x**3.\nAnswer: -95*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the third derivative of l**4\/12 + 11*l**3\/6 + 2*l**2. What is the units digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 495.7 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4797)\/156 - -22)\/(5\/(-2)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 65523111 (base 7) in base 16?\nAnswer: 55bee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 24*r**3*u - r**3 + r**2*u - 155*r**2 - r - 4*u wrt u.\nAnswer: 24*r**3 + r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a - 12. Let s be w(-6). Let u be (-2)\/s + (-2 - 22\/(-6)). Find k such that -3*k**u - 169 + 6*k + 169 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - 3)\/(1 + 0). Let q be (-2 - n)*-1 + -1. Let a(p) = 5*p**2 - 7*p + 7. Let s(f) = -2*f**2 + 3*f - 3. Let i(k) = q*a(k) - 7*s(k). Give i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14\/35*(0 + 1)*1. Which is the fourth biggest value? (a) -3 (b) -1\/3 (c) 0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/16 and -77\/14976.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 2*h - 271 = -231, 8*h + 196 = 18*p + 3*h for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 263 divide 983426156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(48)*-2)\/sqrt(6))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -37.5 - -37. What is the second smallest value in 1\/4, t, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3*w - 36. Let h be v(20). Suppose -4*x + 4 + h = 0. Sort x, 3\/2, -2\/15, 0.5.\nAnswer: -2\/15, 0.5, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 19 * 3.9.\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -201324 (base 5) to base 7\nAnswer: -24563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 9*v**2 + 3*v + 2. What is the remainder when 22 is divided by u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 742*i**3 + 80*i**2.\nAnswer: 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-42)\/28*(-104)\/(-702)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 796 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000705443252 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = p - 95, 2*t - 57 = -t - 2*p. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v**3 + 56*v - 121*v + 65*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(5) + -1)*-6.\nAnswer: -6*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 9331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11030 - 11?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4302011 is divided by 4372?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*y**2 + 10*y**2 + 5*y**2)*(0 - 4 + 2).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 198d (base 16) in base 5?\nAnswer: 202131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c9 + -2?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-9)*(13 + 32\/4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -0.118 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -11\/619 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1433, 2904, 4377, 5852, 7329, 8808, 10289?\n\"Answer: f**2 + 1468*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13634, 13451, 13158, 12767, 12290, 11739, 11126?\nAnswer: 10463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -2*sqrt(243) + -2.\nAnswer: -18*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.052, 10, -2, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 5*f - 77, -3*d + 0*d - 95 = -4*f. Let j be ((-2)\/8)\/((-21)\/(-6) - 3). Which is the biggest value? (a) j (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80*t**2 + t**3 + 92 - 76 - 13 + 2*t - 4*t**3 to w*t**2 + s + c*t**3 + i*t and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 3*h**2 + 2*h - 9. What is the units digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 688646063 to the power of 1\/2, to the nearest integer?\nAnswer: 26242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(1250))**2 - (sqrt(50) + ((-2*sqrt(150))\/sqrt(3) - sqrt(50)))) + 3)*-5.\nAnswer: -50*sqrt(2) + 24985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 4 = 4*m, -4*m - 24 = -0*i + 3*i. Let d(q) = -q - 1. Let u be d(m). Suppose n - 15 = -u*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**2 - 5*v + 7. Let w be r(-7). Suppose -4*o = 5*j - w, 5*o - j = -0*j + 92. Calculate the highest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 16. Let x be -1*0*3\/p. Solve -g + 3*m = x, 0*g = -5*g - m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**3*v*v**(-2))\/(v**(1\/2))**(2\/3))\/(v**(2\/7)*v*v**(4\/7))**(1\/43) assuming v is positive.\nAnswer: v**(-3049\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -130, -149, -202, -307, -482, -745, -1114?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 87, -5, 0.2, -35.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 95.84 - 95. Is d != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i + 14*i - 17*i. Let f(t) = -18*t. Determine n(f(a)).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*b - 3*b + 4*b)*(40*b - 68 + 68) to the form h*b**2 + x + n*b and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 44, 2, -2, -14 in increasing order.\nAnswer: -14, -2, 0, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 120 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5611533 + 112?\nAnswer: 5611645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 13287.68 years?\nAnswer: 13.28768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -844, -845, -840, -823, -788, -729, -640?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -685 + 674. Let x(l) = 20*l + 5. Let v(r) = -4*r - 1. What is s*v(a) - 2*x(a)?\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -3 not equal to -21865\/8812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/71))**18*b\/(b\/b**(-11))*b**(1\/12)*b assuming b is positive.\nAnswer: b**(-8017\/852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**4 - t**4 - 2*t**5)*(-4 + 6 + 0) + t**3 - t**3 - 2*t**5 + 4*t**3 + 3*t**5 - 4*t**3.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 3*c**2 + 2*c - 2. Let r be i(-2). Suppose -z + 22 = r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5, -65, -221, -521, -1013?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 31*g - 16. Let m be a(2). Solve -17*f - m = -40*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -2*(-1 + 5\/(-2)) is divided by 200\/52 - (-6)\/39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*b**2 + 8*b + 480 = 0. What is b?\nAnswer: -4, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -6*w**2 + 5*w - 2. Suppose u = 4 - 5. Let d(f) = f**2 - f + 1. Calculate u*c(k) - 5*d(k).\nAnswer: k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 53340 divided by -351?\nAnswer: -17780\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 432 and 216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 AM and 10:30 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 10*v**2 - v + 2. Let o(b) = 20*b**2 - 3*b + 5. Calculate -5*d(y) + 2*o(y).\nAnswer: -10*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -650001, -650003, -650007, -650013, -650021, -650031?\n\"Answer: -u**2 + u - 650001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2, -1\/3, 1.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -5404.\nAnswer: 5\/5404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-24)\/(-10))\/((2550\/875)\/34).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-26)\/78)\/(2\/(-1542)) - 6. Let m = 252 - s. Solve w - 4 = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -4. Let p be ((-2)\/12)\/((-160)\/15). Let k = p - -101\/1728. Is k bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand 4*w**2 + 0*w**2 - 2*w**2 + (-3*w**2 + w**2 + 0*w**2)*(-2 - 2 + 1) + 2*w**2 + 0*w**2 + 0*w**2 + w**2 + 0*w**2 + 4*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*l**2 - 12*l**2 + 15*l**2 - 7*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 112 + -112.15. Let l = v - -0.219. Let k = l + 0.031. Which is the nearest to 0? (a) 0 (b) -1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**3 + 5*h**2 - h - 3. Let z be v(-5). Suppose 4*p - 40 = z*n, 4*p - p - 32 = n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -122 (base 9) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 3:54 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -34, -130, -290, -514, -802, -1154, -1570?\n\"Answer: -32*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 3*d. Let u(a) = -4*a**2 + 2*a - 3. Let m = 89 - 107. Let l = 19 + m. Let r be u(l). Let t(z) = -6*z. What is r*t(q) - 9*i(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the second derivative of -m**4\/12 - 11*m**3\/6 + 19*m**2 - 5*m + 10. Calculate the remainder when 21 is divided by j(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1.9, -0.03, -760, -2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19 - -168. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -230 + 349. Let v = 128 - o. Is (10 - -1)*(v - -3 - 0) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -498*386.\nAnswer: -192228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = n + 12. Let t(s) = s**3 + 10*s**2 + 6*s + 10. Let d be t(n). What is the greatest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3 - 1971*q**2 + 11853*q - 17793.\nAnswer: -(q - 3)**2*(q + 1977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w - w - 7*w - 2*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 514641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 13 (base 8) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-w**2 + 3*w - 3*w)*(55 - 25 - 23) + 2*w + w**2 - 2*w)*(-3 + 8 + 3).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -48900 - 45817 + 32062 = -1838*n + 104603 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -5*p - 37. Let o be y(-5). Let c be ((-6)\/(-9))\/((-8)\/o*-3). What is the biggest value in 3\/7, -9, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -92 + 90.66. Let o = -0.36 + z. Let i = -1.705 - o. What is i rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z**3 - 5*z**2 - 7*z - 4. Suppose 1 - 11 = 2*j - 2*s, 0 = j - 4*s + 8. Let t be h(j). Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 143 a factor of 643214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7869*m**2 + 7767*m?\nAnswer: 15738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*f + 2*f - 5*f + (-7*f - 2*f + 2*f)*(2 - 1 - 2).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 9. Let r(z) = -9*z - 6. What are the prime factors of r(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + f + (-1 - 2 + 1)*(f - f - 2*f) - 4*f + 2*f + 0*f + 26*f - 46*f + 39*f)*(7*f - 2*f + 2*f).\nAnswer: 154*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - z = 1, 5*b + 3*z + 2 - 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 432 = -100. Let r = 85 + z. Solve t = r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3409 + 7998. What are the prime factors of a?\nAnswer: 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 8*v, -25 = -j - 3*v. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(210)\/(sqrt(112)*4))\/(sqrt(60)\/((sqrt(100)*4)\/sqrt(10))).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -55 - -55. Suppose 16*y + 3752 + 2680 = u. Let l = 679 + y. Is l a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 429+-0.05\nAnswer: 428.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + (5*(sqrt(7) + -2))**2 + sqrt(7) + 5)*-4.\nAnswer: -1120 + 392*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 10*d - 10 - 1 + 21*d. Let z be (-150 + 147)\/(6\/(-4)). What is the tens digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.5 - 3. Let z(v) = -v**2 - 10*v - 7. Let h be z(-8). Suppose 0 = 3*g - j + 8, -g + 0*g = 2*j - h. Which is the closest to 2? (a) -1\/2 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9468 times 0.1?\nAnswer: 946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = -c + 9 + 1, -3*j - 4*c = -22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + v = -2*v - 170, 0 = -v + 5. Suppose 2*t = -m + 33, -t = 2*m - 35 - i. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 5*x = -12744 - 16233, 3*o + 3*x - 43497 = 0. Is o a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/3))**(3\/16) assuming p is positive.\nAnswer: p**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5\/(-10))\/(2\/368). Calculate the common denominator of -37\/9 and (3\/2)\/((-8)\/v).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -56 + 119. Let b = o + -62. Calculate the common denominator of 19\/6 and 7\/(b + -2)*(-2)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*z**2 + 2*z + 0*z + z - 3*z.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (58 - (2 - 0)) + 29 + (5 - 27) + 12\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-13 + 11*x + 13)*(1141*x**3 - 2286*x**3 + 59*x**2 + 1129*x**3) to b*x**4 + t + j*x**3 + o*x**2 + w*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10542\/5 - 2100. Let y be 9\/(-6) + (-3322)\/(-4). Let s = y + -11595\/14. Calculate the common denominator of s and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.06584 to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/4))**(-4\/15)*d\/(d\/(((d*(d\/((d*(d\/(d**(-1\/19)*d))\/d)\/d))\/d*d)\/d*d)\/d*d*d))*d**24 assuming d is positive.\nAnswer: d**(7946\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (0 + 3 - (0 - 16 - 14))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 12 = -5*o, 0 = -5*k + 47*o - 50*o + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -3*z**2 + z - 1. What is u(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.12742498 rounded to 4 decimal places?\nAnswer: 0.1274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be -8*3\/24*-2. Solve s - 2*d - 4 = -x*s, -9 = 2*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 + 2*f**2 + 2*f - 6. Let h be m(9). Suppose 16*b - 5449 = h. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 u when four letters picked without replacement from fgfdffzugfttff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2 + 2 - (1 - 13). Suppose -4*g = -54 - 6. Suppose -5*j + g = -0*j. Solve p = -j*l - 0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 10, z: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum -106.1 and -10.41.\nAnswer: -116.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -13841\/5 greater than or equal to -2767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4833\/(-1432))\/((-2)\/(-16))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2.91, 5, -0.3, -2\/41, -2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 101, 1070, 3749, 8990, 17645, 30566, 48605, 72614?\n\"Answer: 142*t**3 + 3*t**2 - 34*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 314870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5318595, -5318609, -5318623, -5318637?\nAnswer: -5318651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 174*r - 4 - 39*r + 5.\nAnswer: 135*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5298 + 16868831\/3184. Is q != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 97\/3 in 103, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 52 = 5*p, 3*p = -2*p - z + 58. Let m be (15\/p)\/(2\/(-16)). Let y be 114996\/10 + (-4)\/m. What is y rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1573)\/(-154) + (-6)\/28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 118679 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -49\/4 - -3977\/324. Suppose 2*r + 23 = 5*i, 10*i = 5*r + 7*i + 10. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 378\/(-7)*(((-20)\/10)\/2)\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3156 and 132?\nAnswer: 34716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3 - -5)\/1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 50231798 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000003558886 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 87.7 and -0.5.\nAnswer: -43.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3\/7 (c) -426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hiyssinini. What is prob of sequence iy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m + 32 = 23*m. Suppose -3*b = 6, 72 = -5*i + m*b + 11. Sort i, -4, 1 in decreasing order.\nAnswer: 1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 306.000274 - 306. What is j rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**3 - 4*g**2 + 18*g - 75. Let f be a(4). What is the units digit of f\/(-9)*2*582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 147\/778 or 0?\nAnswer: 147\/778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1220.8 + -1216. What is the second smallest value in s, 0.2, -28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + 2221212?\nAnswer: 2221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02835312802 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*m + 38*m - 78*m + 25*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 177, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11358 is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and -77?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 12 = 3*v - 3*m, 0 = -3*m. Suppose -n = v*n - 40. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -2\/3 (c) -5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8.7 - 6.7. Suppose 5*c = 2*y + c + 20, 0 = -5*y - 3*c + 15. Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 9:39 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**3 + 18*k**2 + 8*k + 49. List the prime factors of d(16).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 - 30. Let f = 1 + -1. Which is the closest to f? (a) s (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -66a1 + -a680?\nAnswer: -16271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(((v*v**2\/v)\/v)\/v))**(-1\/59)*v*v**(-4)*v*v\/(v\/(v*v**(-7)*v*v))*v)**(-7\/5) assuming v is positive.\nAnswer: v**(2072\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/(-2)*28\/154*-11. What is the biggest value in c, 59, 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-36))\/((165\/18)\/55).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 426235, 5, -5 in descending order.\nAnswer: 426235, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 60 = 5*t. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000519 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*(-1)\/(-2) + 3. Suppose 0 = -3*s + h*s - 11. What is the remainder when 43 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, -368, 5, -179, 2, -5 in ascending order.\nAnswer: -368, -179, -5, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 561, -3\/5, -2, 129, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.0122029 * 1\nAnswer: -0.0122029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, -3, -8, -7\/19, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 8292293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jlll when four letters picked without replacement from {l: 5, j: 14}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand b**3 + 1 - 1 + (-6 + 6 - 6*b)*(-b**2 + 2*b**2 + b**2) + b**3 + b**3 - 3*b**3 + (b + 0*b + b)*(24 - 24 - 18*b**2).\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 131 divide 314129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(363) - 5*(sqrt(363) - ((sqrt(363) + 3 - sqrt(363)) + sqrt(363)))**2) - 2*(0 + sqrt(363) + 0).\nAnswer: -48 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-474)\/(-54) + 6\/27. Solve -5*y = -4*o + z, 3*o - 4*o + 3*y = -11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*f**2 - 557*f**3 + 705 - 1416 + 709.\nAnswer: -557*f**3 + 6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 481, 1938, 4373, 7786, 12177?\nAnswer: 17546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -150, -145, -140, -135, -130, -125?\n\"Answer: 5*t - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 275 + -271 - (-75)\/(-21) - (-130)\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 45066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5329926 and 1512?\nAnswer: 63959112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -34, 1, 2, -4 in ascending order.\nAnswer: -34, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 + 12*c**2 - c - 3. Determine l(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, u: 8, z: 1, m: 2}. What is prob of picking 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 1031*u - 514*u - 513*u + 2 - 2. Let i(r) = -r + 8. Let x be i(6). Let f(s) = 1 - 1 - 2*s**x. What is f(o(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - (-69)\/18) + 4\/24. Suppose -2 + 10 = -2*j, m*j = -5*a + 34. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k**2 - 192 + 192.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, k: 1, s: 4, c: 1}. Give prob of picking 1 g and 3 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 10:07 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 204*j**2 - 1106*j**2 - 4.\nAnswer: -1310*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(102)\/(2*sqrt(2)))\/sqrt(3) - (sqrt(17) + sqrt(68)*-3 + sqrt(17) + -1 + sqrt(2448))) + -4)**2.\nAnswer: 45*sqrt(17) + 3861\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -841*q**3*s**2 + 2*q**3*s - 233*q**3 - 2*q**2 wrt s.\nAnswer: -1682*q**3*s + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2990 minus -5?\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**4 + l**4 - 2*l**4 + (0*l**2 + l**2 + l**2)*(-19*l**2 + l**2 + 427*l**2) as j*l**2 + c + w*l**4 + f*l**3 + b*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 270\/360*-8*15\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10*r**2 - 672*r**3 + 672*r**3 + 8*r**5 wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2806267\/33460182 + -1\/109347. What is the common denominator of r and -73\/150?\nAnswer: 22950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ruuuuruurrrruuuuuru?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the second derivative of -7*a**6\/12 - 163*a**5\/8 + 495*a**4\/8 - 385*a**3\/12 - 125*a**2\/2 - 2*a - 282. What is u in z(u) = 0?\nAnswer: -25, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 55498?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 3*j - 17 = 8*j, -4*j - 6 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -403*58\/377*(-6)\/(-12)*-2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand y**4 + 0 + 0 - 13492*y**4 + 13482*y**4 + 14*y**3 + 7*y**3 + (y**3 - 2 + 2)*(-2*y + 0*y + y).\nAnswer: -10*y**4 + 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 5931*u - 5931*u - 1574*u**4 + (-2*u**2 + 3*u**2 - 2*u**2)*(-u**2 - u**2 + u**2) - 3*u + 3*u - 2*u**4.\nAnswer: -1575*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 18634583899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 589386310 a multiple of 2857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -762*a**2*j**2 + 2*a**2 - 2*a*j**2 - 11009*a*j + a wrt a?\nAnswer: -1524*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-7)\/((((t*t**4)\/t)\/t)\/t*t)*t**(4\/5)\/(((t\/(t**(-3\/11)\/t))\/t*t)\/t) assuming t is positive.\nAnswer: t**(-576\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 10) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35)\/2*((-1)\/20)\/((-572)\/13728).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the second derivative of 1\/3*f**4 - 2*f + 7 - 16\/3*f**3 + 0*f**2. Factor l(q).\nAnswer: 4*q*(q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -182\/11 or -18?\nAnswer: -182\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -2920, -5837, -8754, -11671?\n\"Answer: -2917*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.22 (b) 5 (c) -3 (d) 1882 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 8 = -3*t - 0, t = 2*x - 24. Solve 108 = x*d + 118 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 16 - (1 + (0 - 0 - 10))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**2 - 3. Let u be -3 - ((1 - 0) + -1). Let a(r) = 1. Let z(w) = -3. Let g(h) = -11*a(h) - 4*z(h). Determine u*g(o) - s(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 2*s + 19, -4*s - 319*n + 53 = -316*n. Solve 0 = s*v - 0*v - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 3, l: 7}. Give prob of sequence jl.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 2285 = y, 1138 = 2*y - 4*t - 3492. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 38716870 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b + 0*b - b)*(50 - 76 - 66)*(-2 + 2 + 2)*(-3 + 0 + 2).\nAnswer: 184*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Convert -82b (base 15) to base 2.\nAnswer: -11100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 675691?\nAnswer: 109, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7980 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - -2. Let v(f) = -f**2 - f**n + 1 + 3*f**2 + 6*f**2. Let y be v(1). Solve 2*k + y + 0 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/(-10))\/((-219)\/5840).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6639 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6731*w + 93*w**2 - 10*w**2 - 15581*w - 3610*w.\nAnswer: 83*w**2 - 25922*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -67112.6 + 78540. What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (110\/(-4))\/(-5) + -5. Let i(f) be the first derivative of -2 - t*f**2 + 3*f. What is the first derivative of i(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -33, -3, 61, 165, 315, 517, 777, 1101?\n\"Answer: k**3 + 11*k**2 - 10*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1697226100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 3*v + 5. Let k(d) = d. Let y(b) = 2*b + 1. Let s(i) = -k(i) + y(i). Give -f(r) + 4*s(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 2:53 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 32 = -3*w, -5*i - 6 = 16*w - 14*w. Let u(v) = v**2 + 11*v + 7. Calculate u(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -105, -3, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17927.\nAnswer: 7, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -7 + 74*v - 4 + 2 - 82*v - v**2. Let x be i(-6). Solve -12 = x*z - 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142 is divided by 82?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1063 and 10630.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-3)\/5)*51\/119?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2423)\/21807)\/(1\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wc when two letters picked without replacement from {c: 3, w: 2, e: 1, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 41393559 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/3*(-1710)\/(-6650))\/((-6)\/(-14))*-70.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - 100011000000011001?\nAnswer: -100011000000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 39.87 and -4.\nAnswer: -159.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0130755 months to millennia.\nAnswer: 0.000001089625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 0*b**2 + 4*b - 77*b**3 + 2 + 4*b**2 + 76*b**3. Let q be c(5). Let o = 0.2 - 0.6. What is the nearest to -1 in q, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 9*p**3 + 113*p**2 - 3*p - 16. Let h(b) = -11*b**3 - 114*b**2 + 4*b + 20. Give -4*h(o) - 5*q(o).\nAnswer: -o**3 - 109*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 170872848 divided by 18?\nAnswer: 9492936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cuukukkufuuck. Give prob of sequence ukf.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j + 8*j - 253 = 0. Let g be 1\/3 + (-7)\/21. Solve j = b - 3*x, g = 2*x + 2 + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -150401 (base 7) to base 12\nAnswer: -14955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1790, -2910, -4134, -5462, -6894, -8430?\nAnswer: -10070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11cc1 + -5?\nAnswer: 11cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/107536 and 41\/18612.\nAnswer: 967824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 + 9*g**2 - 5*g + 3. Let q be (35\/(-10))\/((-2)\/4). Does 18 divide c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/14 and -51\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 317 - 317.059. Let j = -0.559 - f. Let o = 15 - 14. Which is the third biggest value? (a) o (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 PM and 3:10 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-42))\/(39\/21).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-4*(sqrt(162) + sqrt(162)*1 + sqrt(162)))**2.\nAnswer: 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -11. Let w be (f - (0 + 1)) + 6. Is 3 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(121)*-4 + sqrt(121))\/sqrt(11).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (8 - (-125)\/(-15)) + 1. Let d be 1\/2*24\/6. Suppose -5*p - 4 = -5*j - 14, -4*j = d*p + 2. Is j less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, l: 4, p: 2}. Give prob of sequence hp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + -5 + -3 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 849.2778cm?\nAnswer: 8492778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 150 - -97. Let i = m - 35. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -4623 and 0.\nAnswer: -4623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 - 15*m + 47. Let p be v(5). Suppose 5*g + 41 + 64 = 0. Is ((-1960)\/p - 2)*g\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**2 + 8*z - 33. Let o be p(-11). Sort 114, o, 2 in descending order.\nAnswer: 114, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 0 - (-1 + 2 + (41 - 38))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 259510019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*k + 7. Let u = 33\/16 + -9\/16. Factor -3\/2*p**2 + 0 + 3\/2*p**3 + u*p**k - 3\/2*p.\nAnswer: 3*p*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 PM and 11:38 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275) - (4 + (sqrt(275) - -3*sqrt(275))))*3 - (sqrt(99)\/sqrt(729) + (sqrt(11) - sqrt(704)\/sqrt(4) - sqrt(11))**2).\nAnswer: -188 - 406*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*m**4 - 20*m**3 + 58*m**2 - 24*m = 0.\nAnswer: -3, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -2*g**2 - g - 1. Let v = -1 + 0. Let h be u(v). Sort h, 4, 0 in ascending order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 120 = 191*g - 201*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 198750 and 106000.\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 332160*c + 166465*c + 113673*c + 112756*c + 505524*c.\nAnswer: 1230578*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -335 + 18*s + 153 - 1075 - 16*s to the form o + a*s and give o.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 - -12. What is the nearest to y in 0.2, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 9*c**2 - 38 + 7*c - 7*c**2 - 2*c. Let g be q(-12). Suppose g = 2*h - 102. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - 9*y**2 - 11*y - 4. Let o be l(-8). Let s(t) = -t**2 - 5*t + 30. Let f be s(-6). Let q = f - o. Solve 0 = -2*g + q + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20322.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4513\/49 + -645\/7. Suppose -638*l + 633*l = 25. Sort -0.5, h, l.\nAnswer: l, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a + 8. Let n be r(4). Suppose 0 = -2*b + 41 + 13. Suppose -3*p = 2*i - 43, -2*p - 4*i = -b + 1. Solve -n*o = -p - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 3*m + 130, 3*m = -4*l - 0*l + 104. Let p = -2562 - -2766. What is the remainder when p is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5.5417 - 206372.\nAnswer: -206366.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 + 8*o**2 + 11*o - 4. Does 7 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of 0*i**2 - 19\/4*i**4 + 0*i**3 + 12 + 5*i - 1\/20*i**5. Find the third derivative of n(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195*q**3 - 20804122*q + 0 + 0 - 38*q**3 + 20804122*q.\nAnswer: -233*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/k**(1\/6)*k*k\/((k**(-9)*k)\/k)*(k**5*k)\/k*k*k**(-2\/5) assuming k is positive.\nAnswer: k**(523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16000 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -46*h**2*k**3 - 21*h**2 - 190*h*k**3 - 2916669*k**3 wrt h.\nAnswer: -92*h*k**3 - 42*h - 190*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 638 = -3*g, v + 2*v - 4*g = -385. Let t = -67 - v. Calculate the highest common divisor of 150 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -186*y + 4*y = 47*y. Let t(r) be the second derivative of y - 1\/8*r**4 - 3*r**2 + r**3 - 20*r. Find g such that t(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-192)\/(-24)*1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17040813497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1\/9, -0.01, 2\/17, 5 in increasing order.\nAnswer: -1\/9, -0.01, 2\/17, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 6*k**3 - 5*k + 5. Suppose -3 = -2*p + p. Let f(l) = -3 - 7*l**p + 6*l - 4 + 1. Let w be (-1 + (-1 - -3))*5. What is w*f(v) + 6*a(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a = 3*m + 27, 13*m = 16*m + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(2200) + sqrt(2200)*-1)\/(sqrt(176)\/sqrt(4) + sqrt(44)))**2 + ((1 + sqrt(288))*-6 - 5*(sqrt(288) - -2*sqrt(288))**2) + 0.\nAnswer: -12964 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*m - 13*m + 20. Suppose m*q - 84 = -p - p, 90 = 5*q + 5*p. What is the highest common divisor of q and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i**2 - 1404*i + 81121. Let b be h(52). Suppose -2*p + 3 = -p. Suppose y - p*y + 4 = 0. Solve -y = -m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*p + 39*p - 413 = 0. Solve 54 = p*u - 25*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 589 = 2186. Suppose 4*c - i = -5*z, 444 = 4*z - 0*z + 4*c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e4 + -2?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3237059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -4, -2\/11, -0.0147, 3, -0.24, -1180?\nAnswer: -1180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2101183 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 15650656 divided by -489083\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*z = -1001*z - 760 + 2433 + 1719 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -904 + 435. Let r = j + 495. Solve -r = 3*h - 29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 4 + (-2 + sqrt(304))**2.\nAnswer: -16*sqrt(19) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o - 1103 = 4*z - 1243, -5*o = 3*z - 61 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -76525 (base 11) in base 6?\nAnswer: -2214213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is ((-870)\/(-464))\/(39\/104)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.3, -1368, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14348 and 204.\nAnswer: 43044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnbpnnppppppb. Give prob of sequence nbp.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1263 or 1563060\/1237?\nAnswer: 1263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -22 + 21.9. Sort 4\/7, j, -2\/15 in decreasing order.\nAnswer: 4\/7, j, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 123292.\nAnswer: 2, 13, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 124101 (base 5) to base 13.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0270752627 rounded to five dps?\nAnswer: -0.02708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -v - 24, 3*b - 2 = -v + 6. Let z(x) = 5*x - 2. Let p be z(v). Let h = p + 44. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 + -77747349177503\nAnswer: -77747349177498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -129*j - 3222. Calculate the remainder when r(-27) is divided by 246.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35, 29, 25, 23, 23, 25?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -11.26752066 to 3 dps.\nAnswer: -11.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4379 and 7669139?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -20833.555 rounded to the nearest integer?\nAnswer: -20834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 54*s + 33\/2*s**2 + 0 + 3\/4*s**3 = 0.\nAnswer: -18, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c. Let m be q(-2). Suppose 4*k + 3*d = k + 246, -m*d = -k + 82. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(264)\/(sqrt(22)\/sqrt(2)))\/(-3*sqrt(36)\/sqrt(3)) + ((sqrt(6) + (sqrt(84)\/sqrt(2))\/sqrt(7))\/sqrt(3))**2 + 5.\nAnswer: -sqrt(2)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 2*g + 4*k - 64, -5*k + 185 = -3*g. Let c be (-615)\/g + (-6)\/(-8). Is c less than 21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 311527 and 13664?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6236 + 12800. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10127 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.01 and 27419.7.\nAnswer: -274.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 3*c**2. Let p(h) = 3*h + 8*h - 12*h. What is p(x(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -264 + 6337\/24. Let m(a) be the third derivative of 0 - d*a**4 + 0*a + a**2 + 5\/6*a**3. What is m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24423 + -101765079?\nAnswer: -101740656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5 and 7139?\nAnswer: 35695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 75 - 175. Let c = w + 128. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-23 + -1)*8\/12. Let t(y) = -2*y. What are the prime factors of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23259 and 1146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -187 - -1227. Let y = n - 592. What is the highest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 156 - -265. Is 42 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 314, 1358, 3120, 5606, 8822?\nAnswer: 12774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*c + 2*z + 2, -2*c = 4*z + 15 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-92)\/(-966) - (4 - 10\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15027, 60198, 135625, 241422, 377703, 544582, 742173, 970590?\nAnswer: 1229947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**7\/280 - p**6\/40 - p**5\/20 + p**3\/2 - 6*p. Let a(c) be the second derivative of s(c). Let a(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 3*s**3 + 21*s**2 - 5*s - 56. Let l(y) = -4*y**3 - 28*y**2 + 7*y + 75. Let v(c) = 9*f(c) + 7*l(c). Determine v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 3*t**3 + 6*t**2 - 6*t + 1. Suppose 66*i - 22 = 65*i + 3*a, 2*i = -2*a - 12. Determine x(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dpdkppzdoze. Give prob of sequence odk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 = -10*a + 267 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d**3 - d**2 - 2 + 5*d**2 - 2*d - d**3. Let k be 6 - (25\/5 - -5). Determine h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 20 = 14, 2*m + 14 = 4*t. Is 55 a factor of -4 - (-279)\/t*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 4*t + 89. Let l = t - -18. Which is the second biggest value? (a) l (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 4)*(28849*s + 10590*s + 33498*s - 19802*s).\nAnswer: -53135*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 0.2, -10, -347.\nAnswer: -347, -10, 0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -16 by -124.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -133 + 172. Suppose 24 = u*n - 43*n. Sort 0, n, -3 in increasing order.\nAnswer: n, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42567?\nAnswer: 3, 7, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 128381552 and 442?\nAnswer: 128381552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 393317984 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 151 by -494.\nAnswer: -151\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*m - 1064 = -119*m - 70*m. Solve -h - 5*n + 13 = 0, -2 + m = -4*h - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 6:21 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 764c (base 14) to base 10\nAnswer: 20452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 5*g + 22. Let u(s) = -s**2 + 11*s - 18. Let j be u(6). Is 3 a factor of z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 8*a**2 + 498*a + 2382. Give f(-57).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 2*h + 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 830368 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 - 78.\nAnswer: -77.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.55 in -3\/8, -0.06, -4, 0.7, -6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4421*f - 4390*f + 62 = 0. Let h(o) = 5*o - 1. Let q(v) = v. Give f*q(w) - h(w).\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 0*p**2 - 12*p + 3*p + 8*p - 2 - p**2 in the form i*p + z*p**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -295 + 376. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6248?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*h**3 + 0*h**3 + 4*h**3 + (2*h + 0*h - h + ((-h + 1 - 1)*(-3 + 5 - 1) - 3 + 3 + 2*h)*(0 - 3 + 5))*(-679*h**2 - 110*h**2 + 75*h**2).\nAnswer: -2141*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 11 = 4*p. Is p\/(-3)*9 - -4412 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of j**4\/12 + 7*j**3\/6 - 3*j**2\/2 - 5*j. Suppose -90 = 14*r + 4*r. Give z(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1361196.\nAnswer: 2, 3, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 44 + -41. What is the fourth smallest value in -1\/8, h, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 8 = -117*d + 115*d, 0 = -5*d - 4*y - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m = -5*d + 73, -9*d = -5*m + 15066 - 15199 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, a: 7, r: 4}. Give prob of sequence aa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**3 + 2*z**3 + 21*z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 192113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 - 23. Let n = -16.2 - z. Sort n, -1, 1\/4, 1\/7 in decreasing order.\nAnswer: 1\/4, 1\/7, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-12)\/g**(-5\/2) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 90874 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -48, 8 in decreasing order.\nAnswer: 8, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:51 AM and 6:08 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + 57 + -21 - 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*d - 2947 = -13*d + 2333 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -58378 or -58383?\nAnswer: -58383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -0*u + 6. Suppose u*k = r + 119, -5*k = -3*r - 163 - 34. Let t = 5 + k. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 24022?\nAnswer: -24015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be -13*1 + 2\/(-1). Let d = q - -25. Is ((-52)\/d)\/(4\/(-10)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of -o**6\/30 - o**4\/4 - 19*o**3\/6 + 21*o. Let i(a) be the second derivative of h(a). What is the derivative of i(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -18 - -88. Suppose g = 8*g - r. Sort -4, g, -2 in descending order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88300481 a multiple of 3411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.5394818mg?\nAnswer: 539481.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1569705 a multiple of 1135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5\/90*(17\/2 + -7). Let n(a) be the second derivative of 0 + 0*a**2 - 1\/3*a**3 + y*a**4 - 6*a. Determine k, given that n(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 419*z + 96525 = 452*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of -3*l + 1 - 1\/2*l**2. Let i(g) = g + 2. Give 6*i(b) + 4*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 32025.64g to tonnes.\nAnswer: 0.03202564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 693*l**3 - 3982*l**3 - 432*l**3.\nAnswer: -3721*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 8*q = 105. Let d = q - -23. Suppose -5*o - 271987 = a + 3527998, -3*a = d*o + 11399994. What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from {k: 1, u: 3, t: 4}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*g - 1. Let q(w) = -g - 4 + 1 - 2 - 3*w. What is the smallest common multiple of 9 and q(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (18\/(-21))\/(2\/(-392)). Let v be 34\/8*y\/(-14). List the prime factors of (-2)\/(3 - (-159)\/v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -507 and -1614 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 160721894331 + -3\nAnswer: 160721894328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -94604 by -4.\nAnswer: 23651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 61 + -57. Suppose 9*l + 4*m + 61 = 4*l, -r*m = 4*l + 52. Let s be l*88\/(-12)*1 - 0. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.01806*-2924.5\nAnswer: -52.81647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 342 + 330 - 672 + 9*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzrrgrrrrrg. Give prob of sequence rgrz.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -551*b + 574*b = 322. Suppose 5*f + 16 = -d, -1 = -2*f - 5. What is the remainder when b is divided by (10\/(-4) - -2)*d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11*r**2 + 18*r**2 - 7*r**2 - 4*r - r**5 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = -o - 31, 163 = 8*g + 4*o + 247 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 99 (base 13) to base 3.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*z = 17*z + 75. Suppose 89 = z*w - 286. What is the lowest common multiple of w and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + 155 - 159. Suppose u*r - 40 - 29 = -3*p, -16 = -p - 3*r. Calculate the remainder when p is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -53 + 35 - 870\/(-50).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 754 or 764?\nAnswer: 754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -163565, -163564, -163563?\nAnswer: -163562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -5\/4 (b) -1 (c) -0.0402 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1\/888 - 605\/11544. Suppose x - 5 = -4*x. Let c(l) = -2*l**3 - 3*l**2 + l + 1. Let a be c(x). What is the second smallest value in 2, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -q**5 - 21*q**4 - 13*q**3 + 141*q**2 + 14*q - 120 = 0.\nAnswer: -20, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 + 15*v + 3. Let y be n(-13). Let f = y + 38. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5149 + 7210. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(343) + (sqrt(343) - sqrt(343)*3) + 2 - sqrt(343)))*-2.\nAnswer: -2 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -134, -2, -276, -4 in descending order.\nAnswer: 1, -2, -4, -134, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**3\/6 + 9*l**2\/2 - 4*l. What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*m + 4*f, -5*f = -5*m - 7*f + 24. Suppose -m*h + 3*v = -47, v + 29 = -7*h + 10*h. Which is bigger: 10 or h?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*m + 805 + 633 = -98 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 48 (b) 3 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -194 + 206. Suppose -m*f + 6 = -13*f. Let x(u) = -3*u + 8. Let v(j) = -5*j + 15. Calculate f*v(g) + 11*x(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -98*a**3 - 101*a**2 + 1.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.119 in 0, 1, 3, 2\/97, -5\/6, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 245305 + -245304.9659979. Let k = -0.4 - -0.366. Let i = k + u. What is i rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6280*h + 3553*h + 3284*h + (0 + 0 + 3*h)*(0 + 3 - 1) in the form g + s*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -5*b**3 - 9*b**2 - 4*b - 2. What is the remainder when i(-4) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0594 * 1.32\nAnswer: -0.078408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 470, 958, 1468, 2006, 2578, 3190, 3848, 4558?\n\"Answer: d**3 + 5*d**2 + 466*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -290 or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(2*(-1)\/12). Suppose 0 = j*h - 600 - 2514. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20001200 - 120002?\nAnswer: -20121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -18*j - 242. Give m(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -4*l - 15. Let m be g(-4). Let h = 193 - m. Let y = h - 104. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 - 3*q**2 + 5*q - 2. Let y be j(-4). Let m be (0 - (-15)\/y)*-2. List the prime factors of 14\/(-3 + -1 + m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(8*1)\/(15 - 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -c*k**4 + 4*c*k + 100*k**4 + 36 wrt k?\nAnswer: -12*c*k**2 + 1200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**5 + f**3 + 2*f**2 + 6*f - 2. Let n(b) = b**5 + b**4 - 2*b**2 - 5*b + 1. Let m(a) = -3*n(a) - 2*s(a). Factor m(i).\nAnswer: -(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -242*a - 54430. Determine c(-226).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-135)\/(-12)*6672\/(-2502)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-2) - (-66)\/6. Let a = 2 + w. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2010 + 21102100112211?\nAnswer: 21102100121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-2*sqrt(1700))**2 - sqrt(17)).\nAnswer: -40800 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 2, s: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 98, 183, 268, 353?\n\"Answer: 85*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (11 + -10 + (-2 - 3) - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 14*j**2 + 5*j. Let o(v) = -42*v**2 - 16*v. What is 16*c(s) + 5*o(s)?\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 4*a - 205 + 176, -5*a + 20 = -2*h. Solve -h = -11*g + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 4*u = 25, -2*s + 2*u = -2*u + 18. Let v(a) = -3*a - 10. Let m(y) = 3*y + 10. Let p(n) = 2*m(n) + 3*v(n). Is 9 a factor of p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(143)*2*-1)\/(sqrt(539)*4 + sqrt(11)).\nAnswer: -2*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2110 - 15233 = 1028*u + 6301 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/3 + 5\/(-15). Let r(v) = -v**2 - 2*v + 5. Let n be r(y). Suppose 4*t + 2*w + 2 = 0, 4*w + 2 = -n*t + 2*w. Solve t = 4*u - 2*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 3*w - 4. Let l be y(-7). Let g = l + 35. Calculate the remainder when 28 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the second derivative of h**5\/20 + 7*h**4\/12 - 3*h**3\/2 - 4*h**2 - 228*h. Let f(s) = -s. Let k be f(0). Suppose -4*p - 22 - 10 = k. Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/55)\/(2\/(-1)*24\/(-80))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -121111002222 (base 3) to base 14.\nAnswer: -86377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 13*a**2 - 9*a - 2. Let k(x) = 29*x**2 - 20*x - 3. Let c(q) = 9*h(q) - 4*k(q). Determine c(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m**4 + 5*m**4 - 2*m**4)*(4*m - 3*m - 4*m).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 PM and 12:09 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1578440.4s?\nAnswer: 26307.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 40? (a) 2\/3 (b) -2 (c) 0 (d) -1 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + -4. Let p be 9 + 3 + h + 220. Let n = 515 - p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 3*c - 4. Suppose 3*n - 11 = 2*o, -o - 3*o + n = -3. Suppose o = -g - 0*g. Sort g, -4, c in descending order.\nAnswer: c, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = w - 3. Let m = 12948 + -64741\/5. Which is the closest to w? (a) m (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 259 and 5920?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/10 - (99\/10)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 26 - (6 - (-31 + 26)) - (-4 - (-3 + 12))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 12 - -1242?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 19430 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -69\/2 + 36. Suppose 3*u + 4 = k, 8*u - 3*u - 3*k = -4. Which is the closest to 1\/4? (a) 0 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -842890000 rounded to the nearest one million?\nAnswer: -843000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 9*i**2 - 85*i + 275. Calculate j(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 38.714 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from nwuqqwwnnnqqwqnqqnw.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 561273*0.723\nAnswer: 405800.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -7426.0961 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from kxvyvxycyvvkkxvvxksk?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13627431\/96730 + -7\/5690. Let t = g + 141. Which is the third biggest value? (a) -0.1 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3*z - z + 2, 2*x + 5*z - 7 = 0. Calculate the greatest common divisor of x and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**3 + 9*i**2 + 4*i - 3. What is s(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 13.49 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 10*l - 73. Calculate u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9808447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7152*l**2 - 3580*l**2 - 3580*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*t**3*x + 22*t**2*x**2 - t**2 - 2*t*x**2 - 18*t*x + 2 wrt t.\nAnswer: -36*t*x + 44*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = 10*g - 128. Solve -2*s + 5*a = -5*s + 26, 4*a - g = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 4*d**2 + 7*d + 9. Calculate the remainder when a(-5) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (652\/8)\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1087128 less than 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -7.4. Which is the third smallest value? (a) 3 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 15\/10*(-10)\/(-3). Suppose -b = 3 - w. Suppose 2*z + b*j - 12 = 0, 7 = z + z + 3*j. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7828 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**2\/13 + 30096*h\/13 - 3256702\/13 = 0. What is h?\nAnswer: 109, 14939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z be -11 + 13 + (0 - -1). Suppose 0 = 2*l + 2*l - 3*y - 5, l - z*y = -1. Factor 0 + 0*v + 2\/7*v**4 + 2\/7*v**l - 4\/7*v**3.\nAnswer: 2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1112010 - 2?\nAnswer: -1112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 12 + -11 - -6 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 440942 a multiple of 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1218136 and 6?\nAnswer: -7308816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 41*i - 115 - 28*i - i**2 - 38*i + 11. Let c(l) = l**3 - l - 2. What is the smallest common multiple of o(-18) and c(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2813636479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = 2*r - 16, -16 = -r - 2*r - b - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, v: 8, i: 4, x: 2}. Give prob of sequence xv.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-3) + 5776\/456. Solve d + 7 = -3*d + o, 4*d + c = 3*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 5 = -2*u. Suppose -2*r + 42 = -5*a, 4*a - 112 = -u*r - 0. Does 26 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**4 + 3*j**4 - 3*j**4)*(-252*j - 8 + 497*j - 253*j).\nAnswer: -24*j**5 - 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 11536564 (base 8) in base 13?\nAnswer: 6ab7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 156053272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of 91*a**5\/12 + a**4\/24 + 11*a**3\/6 - 21*a**2. Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 404749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(364) - (sqrt(364) + sqrt(364)*1))\/sqrt(7))\/((sqrt(4) - sqrt(4)*-1)*-5).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*-1*(5595\/(-11190))\/((3\/10)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-5)*q\/q**22 assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13310, 13312, 13314, 13316, 13318, 13320?\nAnswer: 13322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/(15 - 175) - 0. Which is the closest to 0? (a) 4 (b) -17 (c) v (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2445037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 4*p - 58, x = 32*p - 27*p - 59. Solve -3*s - 5*m = p - 50, 0 = -s + 5*m - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (11 - 13) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2226*i**3 + 2*i**2 + 1109.\nAnswer: 13356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**3 + 2*m**2 + 4. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 812 - -5.\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -35*h**4 + 33799*h**3 - 33799*h**3 + (3 + 1 - 2)*(-2*h**4 - 3*h**4 + 3*h**4) as a + d*h + n*h**2 + v*h**4 + g*h**3 and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -p**3 - 25*p*q**2*u - 248*p*u + 7697*q**2*u - 11*q*u wrt p?\nAnswer: -3*p**2 - 25*q**2*u - 248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 - -27. What is the smallest common multiple of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*g**3 + 2*g**2 + 9 - 2*g - 7*g**3 + 5*g**3 - 11 to t + j*g**2 + k*g**3 + a*g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f. Let i(m) = 2*m**2 + 3*m + 0*m - 3*m. Determine t(i(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2350 + -2352. Let n be (2\/(-6))\/((-1)\/3). Let l(k) = -19*k**3 - 90*k**2 - 85*k - 16. Let i(u) = u**3 + u + 1. Let z(v) = n*l(v) + x*i(v). Factor z(a).\nAnswer: -3*(a + 1)*(a + 3)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1588 and 1191?\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -115*q + 112*q + 432. Calculate the highest common divisor of 32 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*z + 5*g = 43*z - 13, -3 = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -920 by -184.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/2622890 and 65\/28744?\nAnswer: 10491560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from laj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of 7*w**5\/60 - 2*w**2. Suppose -5*z = -1 - 9. Let v(m) = 68 - 29 - 39 - z*m. Calculate v(c(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - -1. Calculate the lowest common multiple of -1 + -2 - (-20 + 11) and (g + 0)*2 + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-8)\/(-7)*4 + (-75)\/(-1925)*11. Sort -43, s, -4, 1, 4.\nAnswer: -43, -4, 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 56 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 69*g**3 + g**2 - g + 1. List the prime factors of k(1).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -74658 * 0.7.\nAnswer: -52260.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 10*g - 10. Let x be o(-9). Let d be ((-2)\/(-4))\/((-10)\/x). What is the third derivative of 2*b**2 - b**2 + 3*b**2 + 3*b**5 - 2*b**d wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -38021 + 1597013\/42. What is the common denominator of 69\/22 and m?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4484, -8930, -13374, -17816?\n\"Answer: z**2 - 4449*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -255 - -320. Which is the second smallest value? (a) 4 (b) 9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6078511 is divided by 821.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 3206817, 3206808, 3206785, 3206742, 3206673, 3206572, 3206433, 3206250?\n\"Answer: -t**3 - t**2 + t + 3206818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 6:14 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from vsvsvqvqvqss?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -38 + -21449701?\nAnswer: -21449739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 180 and 47556?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 289*s + 8. Let i be w(-7). Let k be 2\/4 - i\/(-26). Let x = -18 - k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -3*x + 4, -5*j - x = 4*x - 70. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 936 * -13071\nAnswer: -12234456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(-1) + (2 - 0). Let l(h) = 2*h**2 + 22*h + 9. Let x be l(0). Determine c so that 5*c**2 + 3*c + 5*c - x*c**r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3*j + 142 = 0. Suppose 2*c = 7*c - 725. Let f = c + j. What is the remainder when f is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 746187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 - 20*x + 16. Let v be f(23). What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1994 + 3*a**3 - 12*a**3 + 2004 - 3998.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fvfpzbbfvfvbvv. Give prob of sequence vvv.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1280 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29\/((-3248)\/256)*7\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5506*k**2 + 11161*k**2 - 5688*k**2.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -86182, -344771, -775752, -1379125, -2154890, -3103047, -4223596?\nAnswer: -5516537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of -d**5\/60 - d**3\/6 - 3*d**2. Let o(h) be the first derivative of w(h). Let l(j) = 2*j. What is o(l(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**4 + 15*g**3 - 57*g**2 + 73*g - 30 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 75*g**5 + 1395*g**4 + 35667*g**3\/4 + 42363*g**2\/2 + 10449*g + 1458.\nAnswer: 3*(g + 6)**3*(10*g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 595, 9, 3, -0.5, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + 28 + -4 + -28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*k = -64*k - 2065 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.3 + 0.2. Let r = 212 - 148. Let f = -321\/5 + r. Which is the smallest value? (a) f (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -5*y - 2. Suppose 27*c + 31*c = 601 - 1529. Give w(c).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9242 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 15*a**2 - 16*a - 56. Does 23 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the first derivative of a**7 + a**3\/6 - 5*a**2\/2 + 44*a + 26. Let m(q) be the first derivative of x(q). Find the second derivative of m(z) wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111747*u**5\/2 + 561051*u**4\/2 + 452784*u**3 + 232788*u**2 + 4680*u + 24 = 0. What is u?\nAnswer: -2, -1, -2\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -x**5 + 6*x**4 - 8*x**3 - 2*x**2 + 9*x - 4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -5, -2, 4, -4 in decreasing order.\nAnswer: 6, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 4*a - 4. Let k(m) = 5*m - 5. Let c(y) = 4*i(y) - 3*k(y). Let s be c(6). Suppose -2*q + 21 = s. Solve -3*o + q = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 < -1.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -4758 + 0.0634766?\nAnswer: -4757.9365234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b68a (base 12) to base 5\nAnswer: 1114403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-10\/9)*h**18*h)\/(h**(4\/15)\/(h**(2\/21)*h*h)))**26 assuming h is positive.\nAnswer: h**(161486\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6537350 and 401598?\nAnswer: 6135752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3014.\nAnswer: 2, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 1175 divide 1208734075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of i**7\/126 - 11*i**6\/90 + 11*i**5\/30 + 5*i**4\/3 - 4*i**3 + 993*i. Factor j(g).\nAnswer: g*(g - 6)**2*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 43*p - 18. Let s(m) = -35*m + 15. Let g(f) = 5*j(f) + 6*s(f). Let o(q) be the first derivative of -q**2\/2 - 6. Calculate -g(k) + 4*o(k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -668 (base 12) to base 6\nAnswer: -4212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s**3 + 7*s**2 + 3*s - 8 - s**3 + 2*s. Suppose -2*k - 13 = 2*f - k, 4*f + 5*k = -29. Calculate h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -57*p + 5 - 7*p - 5. Let k be h(-1). Suppose 4*c = -5*a + k, -c - 36 = -a - a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 3*sqrt(833) + sqrt(833) + 1 + sqrt(833) + -3 + ((4 + sqrt(833) + 0 - sqrt(833)) + sqrt(833) + sqrt(833))*-3*-4 + 3)**2.\nAnswer: 21924*sqrt(17) + 703469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 128 and 1328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {o: 1, s: 1, j: 4, a: 8, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2*(-4 - 905\/(-10)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 635430?\nAnswer: 2, 3, 5, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 22? (a) 1 (b) 4 (c) -2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -20022 (base 3) to base 14\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from frvfvvrkkkfrrfk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**6\/10 - 59*n**5\/20 + 170*n**2 + 5*n - 59. Find the first derivative of r(m) wrt m.\nAnswer: 12*m**3 - 177*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22799183863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and 878?\nAnswer: 8780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 7*w**2 - 272*w + 17*w**2 + 276*w + 0*w**2 in the form y*w + s*w**2 + t and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 1 = u, 4*n + n - 17 = -3*u. Differentiate 9*j - j**3 - 2 - u*j with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2204 or 3?\nAnswer: -2204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4310, 8297, 12284, 16271, 20258, 24245?\nAnswer: 28232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2\/11 + 602*h\/11 - 600\/11.\nAnswer: -2*(h - 300)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - 0 - 1*24\/30. What is the second smallest value in -0.4, 0.33, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 0.8 (c) -2\/11 (d) 3\/7 (e) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 855 and 64695.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 128 at most as big as 25133\/195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6 (b) -0.5 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k - 400*k**3 + 213*k**3 - k + 190*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1169 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*v + 28824 + 7953 = 0. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21 - -95\/4. Let p be ((-8)\/672)\/((-180539)\/(-180538) + -1). Let t = p - -6436\/3. What is the common denominator of g and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7383, -14754, -22125, -29496?\nAnswer: -36867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**4\/9 - 2*z**3 - 22*z**2\/9 + 2*z + 20\/9 = 0. Calculate z.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 + 15*c**2 + 13*c + 37. Let f be i(16). Let b = 1 + f. Let t(h) = -h**2 - 10*h - 7. Give t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 454, 774, 1094, 1414, 1734, 2054?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -189 - -198. What is the smallest common multiple of s and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/((t*t**(7\/2)*t)\/t*t))**36 assuming t is positive.\nAnswer: t**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -207? (a) -3\/8 (b) -1 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -2438*p**2 - 4478. Let n(g) = 36*g**2. Determine s(n(l)).\nAnswer: -3159648*l**4 - 4478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-34434)\/(-21) - (-6)\/21. Let y = k - 131. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + l - 71. Let h be t(-8). Let w be (9\/27*h)\/(-2 - -3). Which is the smallest value? (a) -1 (b) -42\/11 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -51 from 496.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 146112799 to the nearest integer?\nAnswer: 12088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -15*p - 93. What is the lowest common multiple of 9 and g(-11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 379963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44711181.96 + -44711141.95999893. Let m = k - 40. What is m rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -5*r + 77910, -2*r + 3*x = -21069 - 10115. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 571 - 579. Solve -p*x - 6 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, i: 1, n: 1, l: 5, k: 1, e: 6}. What is prob of sequence unk?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3311 + 3279 = -b - 15*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3317 + 1?\nAnswer: -3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the third derivative of -73*z**4\/24 + z**3\/2 - 20*z**2. Let m be n(1). Let l be 1\/(-5) + (-224)\/m. Solve 3*c = l*g + 3, 0 = -3*g - 6 - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, f: 7}. Give prob of picking 2 t and 1 f.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**2 + 0*c**2 + 2*c**2 - 2*c**2 + c**2 + 2*c**2 - c**2 - 3*c**2 - 4*c**2 + (2*c + 2 - 2)*(-c + 4*c - c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -3541 less than 2\/17397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 - 7. Suppose -8 - 8 = -v*t. Which is the nearest to 0.1? (a) -3 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 599505941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3\/43 + 31\/172. Which is the biggest value? (a) -4 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-4 + 0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 11:45 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -13066454 (base 8) to base 2.\nAnswer: -1011000110110100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yam when three letters picked without replacement from mayyfymmyymm.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**2 + 55895*h + 167730.\nAnswer: -5*(h - 11182)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -4*u - 4*u + 1 - 2. What are the prime factors of r(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nnznnnz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**2\/w)\/((w*w**(-1\/5))\/w))**(-12\/11) assuming w is positive.\nAnswer: w**(-72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13728 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 6*f**2 - f - 8. Let t be n(-6). Let q = 225 + -223. Put t, -8, q in decreasing order.\nAnswer: q, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -6*k**2 + 5*k + 2. Suppose 0 = 5*l + 9 + 21. Let n(a) = -7*a**2 + 6*a + 3. Let b(f) = l*v(f) + 5*n(f). Let r(w) = -2*w**2 - 4. Give -4*b(s) - 3*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r + 4*r - r - 2*r. Let f = 10 + -3. Let n(g) = f*g - 7*g + 7*g. Calculate a(n(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 3 (b) 1 (c) 216\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 196*i + 17 = 179*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -2*i + 1000. Let d = 347 + i. Let p = d + 240. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jlpenpleoooolpo. Give prob of sequence eoo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2976, 2973, 2970, 2967?\n\"Answer: -3*u + 2979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 10\/(3\/(-1) - -6)*252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -197\/210 and -145\/270654.\nAnswer: 9472890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21655363*z**3 + z - 2 - z + 21655361*z**3.\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11062 is divided by 135?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 778 = -3*p + 772 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 10:21 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 2*u + 126 - 14, 5*l + 3*u = 162. Suppose 9*x = -l - 6. Which is the closest to -0.1? (a) -5 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -54 + 36. Let s be q\/(-45) - 38\/(-5). Suppose 0 = -2*x + s, m + 0*x = x. Solve -2*r = -m*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 27 + -2. Suppose 29*u - q*u = 60. Find the third derivative of -2*t**5 + 17*t**2 - u*t**5 + 3*t**2 wrt t.\nAnswer: -1020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3161593 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6712502?\nAnswer: 2, 673, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -0.11 (c) 1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*v**2 + 6535*v - 1635.\nAnswer: 5*(v + 327)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - 5765?\nAnswer: -5760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 66091004 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 2 - 10. Suppose y*t - 201 = k, k - 261 = -5*t - 12. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -114 divided by -2\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o**0*o)\/o)\/(o\/o**9))\/(o**(-3)*o*o**(9\/4)))**(-1\/9) assuming o is positive.\nAnswer: o**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - z = 6, z - 3 + 5 = 3*r. Let j(v) = v**r + 7 + 0 - 5*v - 1. Let l be j(4). Solve l*x - 1 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from zwnuuzunuutuznuunnuz?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -3) + 4 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = t + 502. Suppose -u = -3*u - 2*a - 248, -t = 2*u + 3*a. Let w = 603\/5 + u. What is the smallest value in w, 2\/7, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 + 1. Solve -4*z = -3*z + 2*s, 2*z - s = -u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 2. Let w(z) = z - q + 2*z**2 - 3*z**2 + 2 - 2*z. Let x(k) = k**3 - k**2 - 2*k. Let n be x(0). What is w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 218675.2 kilometers to centimeters.\nAnswer: 21867520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 57967 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.25 and 42159?\nAnswer: 10539.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 602 = -8. Let q be (x\/44)\/(82\/80 - 1). Let f(c) = -175*c**2 + q*c**2 + 84*c**2. Let g(d) = -27*d**2. Give g(f(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -b**2 - 12 + 1 + 10 + 1.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w + 10. What is the remainder when a(7) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + 0 - (7 + 117\/63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**1)**48*(t\/((t\/(t*t**6))\/t))\/(t**(9\/7)\/t) assuming t is positive.\nAnswer: t**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -685*v**3 + 3*v**2 - v - 9. Let n(c) = -349*c**3 + 2*c**2 - c - 5. What is -3*a(i) + 5*n(i)?\nAnswer: 310*i**3 + i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-105 - 114 + 11)*(o + 4*o - 4*o)*(19*o**3 + 2394 - 2394) to the form g*o + a*o**3 + p + m*o**2 + s*o**4 and give s.\nAnswer: -3952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1735428, -1735442, -1735454, -1735464?\nAnswer: -1735472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((88\/256)\/((-8)\/(-32)))\/(28\/3) and 51\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -861616230 by 10507515.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times -0.174\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 13 = 5*o + 51, 5*o - 20 = 0. Solve -4*s = 16, 4*u + 2*s = -0*u - n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**2 - 4*w. Let b be x(5). Suppose -q + 8 = 2*d, -3*d + b*q - 9 + 21 = 0. What is the first derivative of -4*c**4 - 5 + 3*c**d + c**4 + 3*c**4 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6906975.\nAnswer: 3, 5, 19, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (4 + -2)\/2. Suppose -k = 3*p - 2, 4*p - 20 = 11*k - 8*k. Let m be (5 + (-57)\/12)*(k + 3). Which is greater: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*d + 3*j = -47*d + 23, -4*d + 2*j = -22. Let s(l) = 2*l + 5 + 5*l**2 - 5*l - 4*l. Is 13 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 104112302 (base 5) to base 6\nAnswer: 13444402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 194529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21387470.\nAnswer: 2, 5, 13, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -13503*p - 1435. Is u(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of -h**5\/60 + 15*h**3 + h**2\/2 + 31. Let v(r) be the third derivative of f(r). Let t(l) = -6*l + 2. Calculate v(t(j)).\nAnswer: 12*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the second derivative of -z**7\/5040 - z**6\/360 - z**5\/80 - z**4\/3 + 6*z. Let j(o) be the third derivative of b(o). Factor j(g).\nAnswer: -(g + 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2837025031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 2*d + 259, -26 = -i + 4*d + 47. What is the remainder when i is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1147 (c) 35 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/(-4)*1080\/630\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/4, -4, -0.5, 5, 2376?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1\/2))**(3\/5)*b**2\/b*(b*b**(-13))\/b)**(-13\/3) assuming b is positive.\nAnswer: b**(533\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 96043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252)*-5 + sqrt(252))**2 + sqrt(7) + (sqrt(112)*4 - sqrt(112))**2)*5.\nAnswer: 5*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2138*u**2 - 53*u + 493. Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 - 1)*(-2*d**2 + 3*d**2 - 4*d**2)*(3 - 2 + 4).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 5:31 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1*45*((-6609)\/(-13218))\/((-1)\/(-2)*-1)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*m - 2*m + 4*m - 28.\nAnswer: -3*m - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1502*d + 650*d + 10789*d.\nAnswer: 12941*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 1. What is the second smallest value in -4, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94862 + 484104 = 6895*h - 10668 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s. Let c(y) = -1073*y. Let v(n) = 28974*n. Let b(q) = -55*c(q) - 2*v(q). Give m(b(p)).\nAnswer: 2134*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5.162295 meters in centimeters?\nAnswer: 516.2295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s + 170581*s**2 + 170649*s**2 - 341360*s**2 - s.\nAnswer: -130*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (5 + ((4*sqrt(91) - sqrt(91)) + sqrt(91))\/sqrt(7))*-5.\nAnswer: -20*sqrt(13) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**5*f**(-3\/10))\/(f\/f**(-2))**8 assuming f is positive.\nAnswer: f**(-193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 25495325, 50990615, 76485905, 101981195, 127476485, 152971775?\n\"Answer: 25495290*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*a + 70 = -23*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -126.3 + 663.3. Let k = a + -537.0000219. Round k to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -46213, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 27 divided by 10458\nAnswer: 3\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 693870970 a multiple of 3602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2688 is divided by 58?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10764343?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 0 + 2)*(-5 + 1 + 2)*(6 + 41 + 13)*(v - 2 + 2) to j*v + g and give j.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 152, 3\/5, 5?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -783 - -781. Which is greater: 0.35 or r?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u + 4. Let a(f) = 2*f + 3. Give 5*a(h) - 4*j(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 + 0)*(4*j - 4*j + 2*j) + (4 + 3 + 1)*(-j + j - 3*j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11)\/22)\/(((-228)\/(-72))\/(-1)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is five halves of a decade in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -58647*l**5 + 212*l**2 - 1695033*l + 13 wrt l?\nAnswer: -1172940*l**3 + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 + 29*j**2 + 71*j - 181. Let h be l(-26). What is the nearest to h in 50, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44846 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.02 - 196.02. Let c = 7.53 + -7.43. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1308543757?\nAnswer: 61, 21451537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 + 1. Let c(h) = 4*h**3 + 2*h**2 - 3*h + 5. Let t(f) = -c(f) + 2*d(f). Is t(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 24 = 34. Solve -1\/3*d**i + 0*d + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -1\/3, 2, 0.638, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 2\/7, 0, 5\/4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 19 - 4. Let r = -17 + d. What are the prime factors of 2\/(r + (-192)\/(-94))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(275) + 1 - -5*2*sqrt(275)) + 2 + -1 + -1*sqrt(275))*-1 + -4.\nAnswer: -35*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Suppose 58261 - 4903 = 27*x + 5298. Calculate the remainder when x is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/40 and -155\/100284?\nAnswer: 1002840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26968 - 15*s**2 + 26968.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11395 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1349*j - 1283*j - 5412. Calculate the greatest common divisor of j and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4237767472?\nAnswer: 2, 37, 7158391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6443383 and -0.5.\nAnswer: -3221691.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, -3\/2, 259, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 7*f**2 - 7*f - 9. What is the units digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121 - -2201?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55, 36, -17, -122, -297?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 5, v: 1, c: 4, a: 1, k: 1}. Give prob of sequence cb.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18041485?\nAnswer: 5, 7, 11, 46861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.121 * 0.5.\nAnswer: 1.0605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 r when three letters picked without replacement from {r: 3, j: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4311555 = -52*m + 49*m. Suppose -5*q - 10*v - 1796475 = -5*v, -4*q - 3*v = m. Round q to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j + 1. Let y be a(-5). Suppose -60 + 186 = -9*x. Let w(v) = -v**2 - 14*v + 2. Let d be w(x). Put y, -3, -2, d in descending order.\nAnswer: d, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 610 by -122.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3.289467548 rounded to four decimal places?\nAnswer: -3.2895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**2 + q. Let u be l(1). Let j = -11 - -11. Solve 5*y + v - 21 = j, 5*y - 3 = -u*v + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 1201001?\nAnswer: -1201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 5*s - 201 - 378, 0 = l - 4*s - 297. Let n = 238 - l. Is n at most -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12494771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, 0.4, -61, -7949?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119*j = -127*j - 32. Let p(v) be the third derivative of -13*v**4\/24 - 3*v**3 + 2*v**2. Does 11 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, q: 2, v: 13, p: 1}. What is prob of picking 1 p, 1 v, and 1 u?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -87, -114, -141, -168?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 108318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 AM and 10:35 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13365 - -13367. Factor -1\/9*h**3 - 1\/9 + 1\/9*h + 1\/9*h**y.\nAnswer: -(h - 1)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -304 - -328. Calculate the least common multiple of 20 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -12\/425 and -11\/185.\nAnswer: 15725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 54*f = -934722 + 204390. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 45*o = 42*o + 14, 2*o - 14 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 583 - 583.3. Which is the biggest value? (a) 0.2 (b) 0 (c) 1.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-22)\/(-1*((-2)\/(-11) - (-1224)\/(-561)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1939, 3887, 5835?\n\"Answer: 1948*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 6:15 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(3\/(-4))*23\/(-4). Suppose 0*w + w = -4*o + 21, -w = 5*o - g. What is the remainder when w is divided by (-1)\/3 + 70\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127289657 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**3 + 3*i**2 - i + 2. Let y be m(3). Let g = 27 - y. What is the remainder when 109\/(1 + 0 + 0) is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 5\/2, 4, 3\/4, 7\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 0) + 15 + -19\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 89 times -0.04\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*j = 12*j + 125 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 1 (b) -5 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1257930 and 135.\nAnswer: 1257930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -5*k**2 + 12*k - 507. Let o(g) = -g**2 + 3*g - 127. Calculate -2*f(m) + 9*o(m).\nAnswer: m**2 + 3*m - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/27 - 0) + 651\/27. Calculate the greatest common factor of o and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 256, 253, 250?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7012?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 371 or -25413?\nAnswer: -25413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*f**2 + 31 - 31 + 15*f**2 to the form h*f**2 + g*f + q and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -2486\nAnswer: 2\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 34 + 77?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-6 - (-13 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/167 and -62\/3.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -35 - -100?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-8)\/l**(-14))**(-41))**(2\/59))**(-45) assuming l is positive.\nAnswer: l**(22140\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be -20*(-1 + (-32)\/(-40)). Solve -h = 3*v - 0*h - 6, -4*v - o*h = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29503100 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: Suppose -10*m = -2*m - 816. Suppose -5*b + m = -2*l, -6*b = -b + 5*l - 95. What are the prime factors of ((-48)\/b)\/(-6)*235?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.36 times -47642?\nAnswer: 17151.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/7 - 152382*j**2 - 142221511062*j\/7 + 711134222410\/7.\nAnswer: -2*(j - 5)*(j + 266671)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2738 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6755 + 6015 = 5*c. Let p = c - 1353. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.02 * 47369607\nAnswer: 947392.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 - -13. Let k = t + 13. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 185.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -78, 0.3, -36\/13, -0.6, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = -3*g + 29, -5*g + 4*p = 2*p - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 38585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes before 6:58 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 27*(-1)\/(-18)*4\/(-10). What is the second biggest value in 11, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-15)\/(-10)*(-100)\/6. Let o = -28 - q. What are the prime factors of 10\/(-15) + (0 - 14\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 + 11*j**2 - 49*j - 23. Let c(o) = o**3 - 11*o**2 + 58*o + 25. Let s(x) = 5*c(x) + 6*y(x). Let w = -16 - -26. Determine s(w).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -6 + 0 + (58163\/2 - (-126)\/84)?\nAnswer: 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of y**3\/3 - y - 41. Let m(w) = 6*w**2 - 7. What is -3*m(i) + 21*x(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 214 and 20651.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6.11 + 6. Let o = i + 3.11. What is the second smallest value in 4\/5, -2, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5471 * -4519.\nAnswer: 24723449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.031 + -1.269. Let m = y + 1.3019. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.04 in 0.2, -2\/3, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 574769 and 537358.\nAnswer: 3401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-4))**(1\/9)*r*r\/((r**(-24)\/r)\/r)*r**28)**(-12) assuming r is positive.\nAnswer: r**(-668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 216.46 * 5.\nAnswer: 1082.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(36)\/sqrt(768).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(468) - (0 + sqrt(468))**2) + 4 + 4*(sqrt(468) + 2)**2 + sqrt(468)).\nAnswer: 216*sqrt(13) + 2848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*k - 48*k + 1 = -95*k - n, -91*n = 2*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 0*w - 7 = 4*w, -4*w = 2*o + 2. Suppose 0 = -5*s - f + 48 + 13, -o*s - 4*f = -64. Let z = s - 11. Sort 3, -6, z in descending order.\nAnswer: 3, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -117, 234, 825, 1662, 2751?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/7 + 31848*t\/7 - 191160\/7.\nAnswer: 2*(t - 6)*(t + 15930)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*k - 21*k = -1929 - 1295. Suppose 0*c + 2 = 2*c + 4*q, -2 = 4*c + 2*q. Calculate the remainder when (9\/12)\/(c\/(-204)) is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 5*x - 69 = 2*s, 5*s + 159 = -x. Is 32 a factor of 1336\/14 - s\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, k: 3, b: 3, h: 4}. What is prob of sequence hb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*u - 10 = 5*u. Find the common denominator of u and -28\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r\/(r*r\/(r**0\/r))))\/r)\/(r*r**(1\/5)\/r*r)*(r\/(r*r**(2\/9)))**(-20) assuming r is positive.\nAnswer: r**(191\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/(-21))\/(1\/(-7)). Let s be (b + -8)*8\/(-12). Solve -2 - 10 = -s*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 3*c + 15 = 0, -5*y + 5*c - 25 = 0. Suppose y*g - 130 = -5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/7 and -52\/6041?\nAnswer: 6041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sseeeyyy. Give prob of picking 3 s and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3*g = -3*n + 50, 5*g = 4*n - 100. Suppose n = -8*j + 3*j. Let w be (-12)\/15 - (-6)\/30. What is the smallest value in w, j, 9\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.471717743 rounded to 4 decimal places?\nAnswer: -2.4717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1037161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1\/15 + -4\/15. What is the closest to 0.1 in 2\/3, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-20)\/2)\/((-7 + 8)\/(-2)). Suppose 0*d = -4*d - 3*i + 16, -5*i + l = 5*d. Let g be -2*(-4)\/d + -2. Solve 8 = -2*f - g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -50 + -14?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.8867055 litres?\nAnswer: 886.7055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 860147*h + 0.\nAnswer: 860147*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36940 is divided by 1856?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107019183?\nAnswer: 3, 241, 148021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -131*k - 3795. Calculate o(-8).\nAnswer: -2747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2162*q + 3*c - 104 = 2173*q, 3*q + 52 = 2*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -2 - 2*g + g + 12. Does 3 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 0 + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -236 - -493. What are the prime factors of q?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 + 2*k + 14. Let b be g(-5). Suppose -b = -2*x - 9. What is the third derivative of 3*p**2 - 6*p**2 - x*p**3 + 19*p**5 + 10*p**3 wrt p?\nAnswer: 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-70)\/(-350))\/(2\/(-4)). Sort y, -3\/4, -2\/383.\nAnswer: -3\/4, y, -2\/383","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 220348 + -220346. Factor -1\/2*h + h**c + 1\/2*h**3 - 1.\nAnswer: (h - 1)*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 26\/2 + (-1)\/(-1). Calculate the highest common divisor of r and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 - 9*r**2 + 14*r**2 - 2*r**2. Let d(h) = -17*h. Calculate d(l(z)).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 AM and 7:28 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 176479222 is divided by 11029951.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1139931517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -107, 48, 215, 400, 609, 848, 1123?\n\"Answer: y**3 + 148*y - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15057, -30155, -45253?\nAnswer: -60351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and -1.85.\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(891) + sqrt(891)*-3 + -2 - sqrt(891))*-3)**2.\nAnswer: 1134*sqrt(11) + 72220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -10.303 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 18 times -2444160\nAnswer: -43994880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 1.1557094899?\nAnswer: -2.1557094899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8621 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2520902 is divided by 630223.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2002 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 66 + 12?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be 720\/352 - (-2)\/(-44). Find v such that -2\/5 - 1\/5*v**3 + 2\/5*v**f + 1\/5*v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/1)\/(4\/216). Let k = z - -238. Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 - 9*i - 36. Let a(g) = g**2 + g + 4. Let v(u) = -36*a(u) - 4*f(u). Let s(r) = -45*r - 1. Calculate v(s(o)).\nAnswer: -64800*o**2 - 2880*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15 + 34)*1\/(-1). Let f(t) = -t**2 - 18*t + 18. Give f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1715359157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*x + 10*x + 19*x)*(x**2 + 72 + x - 72) as y + v*x**2 + i*x**3 + l*x and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -7\/4 + 7\/4*a**2 - 1\/4*a**3 + 1\/4*a.\nAnswer: -(a - 7)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2 + 35*x + 36.\nAnswer: -(x - 36)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 19937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3294.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -220348 to the nearest one thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 1\/21*a**7 - 1\/6*a**4 + 0*a**3 - a + 1\/15*a**6 + 0 - 1\/10*a**5 + 0*a**2. Solve r(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4155)\/554)\/(10\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 123334 - -54?\nAnswer: 123432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 29\/13, 8\/13, -0.5?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i = -27*a + 145, -2*a = 12*i - 8*i - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.45 minus 39?\nAnswer: -39.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 + 14. Suppose 3*m - 4*p + s = -6, 2*m + 5*p - 15 = 0. Suppose m = -2*h - 3*h + 35. What is the remainder when 24 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -12222 (base 10) to base 16\nAnswer: -2fbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 3. What is the third derivative of 13*a**2 - 10*a**3 + m - 23*a**2 - 3 wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 258741 is divided by 208?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 8*s**2 + 8*s + 5. Let q be k(-7). Let j = q + 7. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (8 - -1 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 46 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - (-3 + 1))*1. Let v = 1 + k. Suppose 0 + 9 = -y + 3*p, v = -4*y + 4*p. Solve d + y = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -0.1144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 513231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1008686197?\nAnswer: 127, 7942411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*p = -4*r + 68*p + 42, -3*p - 6 = 4*r. What is the highest common divisor of 2157 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {o: 1, s: 1, n: 1, w: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 3*u = 12, -4*u - 4 = p - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 963745734 and 1554?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pkdldplppddld. Give prob of picking 2 l and 1 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**4 - 440*r**3 + 10910*r**2 - 54120*r + 75645.\nAnswer: 5*(r - 41)**2*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/105*-6 - 33\/21. Let y(p) be the second derivative of p**2\/2 - p. Let v(o) = -o + 4. Let n = -2 + 6. Give h*v(c) + n*y(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 3*f**4 - 2019*f**3 + 457542*f**2 - 35928036*f + 229762008 = 0.\nAnswer: 7, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 1.5. Let g = 14.1 - 13.8. Let k = -1.3 - g. What is the smallest value in -1\/5, t, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 623\/12 - 6619\/132. Let y = -201083\/494 + 7761\/19. What is the common denominator of y and u?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.01, 3\/2, 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 60\/4 + 12\/(-3). Let x(o) = -2*o**2 + 1. Let y(i) = -3 + 12*i + 3*i + 5*i**2 - 16*i. Give b*x(p) + 4*y(p).\nAnswer: -2*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19332 + 2*r - 19332.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -163\/895026 and 68\/13761.\nAnswer: 373225842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -148 - -158. Solve u = -4*u - o + 8, -2*u + 4*o = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9682?\nAnswer: 2, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -44*t**2. Suppose 0 = -3*x + 1054 + 983. Let g(d) = 681*d + x*d - 1359*d. Calculate q(g(p)).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 21 = -65*m + 66*m, 0 = -2*m + 3*p + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(99) + 2 + -4.\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3343 (b) -2\/2755 (c) 1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 4*s = 15, 3*s - 21 = -2*c - 2*s. Suppose d + 4*u - 27 = 0, 81 = 6*d - c*d + 3*u. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -0.3, 68, -2, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 890591.3 days to nanoseconds.\nAnswer: 76947088320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.04*1314.\nAnswer: 52.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -13, -41, -87, -157, -257?\n\"Answer: -k**3 - 3*k**2 - 12*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ioyljor. What is prob of picking 1 j and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 739799.4 less than 16.564?\nAnswer: -739782.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 4, z: 3}. Give prob of sequence qzzq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -74*3*(-3)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -568, -1460, -2352, -3244?\nAnswer: -4136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - p - 40, 4*v - 3*p - 64 = p. Let t(m) = -3*m + 1. Let z be t(v). Let j = z + 50. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {v: 6, g: 1, i: 4, y: 4, k: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-78)\/90 + 1)\/((-22)\/(-87)). Let a = -3\/110 + v. Let i = 1 - -2. What is the third smallest value in 0.18, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6776, -13419, -20062, -26705, -33348?\n\"Answer: -6643*w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (792\/(-462))\/((-15)\/(-70))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(84)\/(2*sqrt(36)\/sqrt(3))*5 + 6*(sqrt(112) - (1 + sqrt(112))) + (-1 + sqrt(112) + 0)**2.\nAnswer: -11*sqrt(7)\/2 + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93097119.\nAnswer: 3, 73, 425101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.1, 1, -3\/2 in decreasing order.\nAnswer: 1, 0.1, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.6? (a) -12 (b) 5 (c) -32 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r - 3 + 3 + (-4 - 1 + 3)*(-231*r + 535*r + 1325*r) to the form g + i*r and give i.\nAnswer: -3260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000040727143 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**2 + 22*n - 61. Let a(m) = -2*m**2 - 24*m + 61. Let u(p) = -4*a(p) - 3*l(p). Is u(11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o - 2. Let k be -2*((-4)\/10 + 60\/25). Give t(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -1\/31 (b) 1\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 10:56 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + ((-4 + sqrt(612)*-1 + sqrt(612) - sqrt(612)) + sqrt(612) + 2)*-6 + -3 + 2)*-3)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n + 2*f + 64, -2*n - 32 = -0*n - f. Suppose -303 = -102*h + 3. Calculate the common denominator of 13\/20 and (-52)\/h*n\/(-384).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:11 PM and 10:40 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**2. Let i(h) = 28*h**2 + 2. Calculate l(i(f)).\nAnswer: 784*f**4 + 112*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -2*m**3 - 490*m**2 + 492*m = 0.\nAnswer: -246, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g**2 + g. Let d(s) = -223*s + 2. Let o(p) = -778*p + 7. Let t(m) = -14*d(m) + 4*o(m). Give t(a(f)).\nAnswer: 30*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of -3*n**4\/28 - 8*n**3 - 162*n**2\/7 + 562. Factor j(q).\nAnswer: -3*q*(q + 2)*(q + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 + 7*s - 8. Let x be d(-8). Suppose 0*u - u + 2 = x. What is the remainder when (u - 0) + (109 - -4) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 654 is divided by 214?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 13509 divided by 233\nAnswer: 13509\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 + 9*o + 1. Suppose 0 = -0*b + 2*b - 14. Does 5 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 264539?\nAnswer: 11, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**2 + 15*h - 22. Let b be p(14). Let w = b - -42. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (385 - 808 + 3*r + 393)*(0*r**2 - r**2 + 0*r**2) to f*r + o*r**3 + q + t*r**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(1\/5*(-7 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {v: 1, c: 3, d: 13}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8? (a) 0.6 (b) 1 (c) -96 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1077*d**3 - 947.\nAnswer: -3231*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -243890861*v**3 - 10447*v**2 + 142*v + 12 wrt v?\nAnswer: -1463345166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 + 6*i + 4. Let y be l(8). Is 9 a factor of (-106)\/y + (-1)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2037*h*i**2 - 4*h*i + h + 3*i**2 - 3*i + 324778 wrt i.\nAnswer: -4074*h*i - 4*h + 6*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 + 21343?\nAnswer: 21333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + 3*r = 3*z - 4, 3*z - 3*r - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 65652045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 199*o - 24709. What is b(124)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10246 - 10245.88782. What is u rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 6:07 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 15827 (base 10) in base 12?\nAnswer: 91ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 6 = -2*d - 3*h, -4*h = -2*d + 24. Let k be 4\/6*(-12)\/d. Which is the second smallest value? (a) -0.2 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 5*f = 8*f + 149, 5*c - 3*f = -193. Let t = -12 - -6. Let o be 12\/t + -32 - (-3)\/(-1). Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -17, -8, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j - 8. Let g be c(-6). Let y = -5.11 - -0.11. Let r = -10 - y. What is the closest to -0.1 in g, 1\/9, r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/189 and 28\/9.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(95) + sqrt(95)*1*-3)\/(sqrt(5) - ((sqrt(5) - sqrt(605)*-2) + sqrt(5))) + (sqrt(19) + -2)*-6 + (-1*sqrt(190))\/sqrt(10))**2.\nAnswer: -3816*sqrt(19)\/23 + 556515\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 174 = -41. Let t = 43 - q. Suppose 0*r - 7*r + 42 = t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 105406 and 143051.\nAnswer: 2002714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77 is divided by 69.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 1. Suppose v = -3*x - x - b + 17, x = 3*b - 12. Suppose -138*r - 163 - 183 = -70. Sort x, r, 6 in increasing order.\nAnswer: r, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.014 (b) 6 (c) -2\/23 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - 610561532?\nAnswer: -610561530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**3 + 3*a + 2. Let g(x) = 7*x**3 + 7*x + 4. Let h(j) = j - 4. Let d be h(4). Suppose -3*p - p + 8 = d. Give p*g(q) - 5*w(q).\nAnswer: -q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 637546 is divided by 212442.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 b, 1 z, and 1 v when four letters picked without replacement from zswbwwwv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t\/(t*t\/(t*t**(-2)\/t*t)*t)))**(-16) assuming t is positive.\nAnswer: t**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-30)\/40 - (-44)\/16. What is the hundreds digit of ((2 - t) + (-310)\/15)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11146909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/9))**(-13\/6)*w*w**(2\/21)*w**(3\/8) assuming w is positive.\nAnswer: w**(1495\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13714 is divided by 1521.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12942 in 0.1, 1, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 6*b = -2. Let h be 4 - 3 - (-12)\/1. Suppose -2*u = q - 0*u - h, q - u = 1. Solve q*w = z - 5, -z - w + 0 = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 5 - 6)*(-2*y**2 + 0*y**2 + 3*y**2) + (-2*y - y + 0*y)*(2*y + 6*y - 3*y) to c*y**2 + a + u*y and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -157, -316, -475, -634?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -238.732 + -16184.8\nAnswer: -16423.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (279\/1860)\/(-6*(-25)\/40).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 PM and 4:33 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 204, 673, 1446, 2523, 3904?\nAnswer: 5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 12 = -c + 4*u, 0 = 4*c - 2*u - 6. Solve 2*n - 8 = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 725473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(2\/21)*b\/(b\/(b\/((b*b*b*(b*b**(8\/3))\/b)\/b))))**(-12)\/(b**3*b*b**(-2\/7)*b**(-6)\/(b*b\/b**(-9))) assuming b is positive.\nAnswer: b**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28 - 13. Let g be (4\/(-6))\/(t\/(-9)). Let m = -0.06 - -0.36. What is the closest to g in m, 4, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 369 divide 531375867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -15*x + 640. What is the greatest common factor of 80 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*a**2 - 83*a**2 - 9*a**2 + 117*a**2.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**2 - v. Let z be o(2). Suppose -2*b - 35 = -5*p + 3*b, 0 = -p + z*b + 12. Solve 2*g - p = 4*q - 8, 3 = -3*q + 3*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u - 1. Suppose -5*q - 15 = -5*t, -q + 3 = 2*t - 0*q. Let g(z) = -11*z - 7. Let l(s) = t*g(s) - 18*h(s). Find the first derivative of l(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 999, 2185, 3371, 4557, 5743?\nAnswer: 6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1))**20\/(f**(-1\/3))**32)**(-3\/8) assuming f is positive.\nAnswer: f**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -13, -31, -55, -91, -145, -223, -331, -475?\n\"Answer: -t**3 + 3*t**2 - 20*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 364 and 489664?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19542911.\nAnswer: 17, 103, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - y. Let z(o) = 9*o**2 + 3*o. Let s(v) = -3*g(v) - z(v). Let t(j) = 200*j - 101*j - 97*j. Calculate s(t(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (9\/24)\/((-25)\/10). Which is bigger: v or -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 304 (base 12) to base 14\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + 9)\/((-8)\/(-124)). Suppose 0 = 4*v - k - 17. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 - 6*y**2 - 10*y + 10. Let p be (22\/(-5) + 2)*10\/(-3). Let i be 1*(p + (1 - 2)). Determine d(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 AM and 11:38 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-5)\/(-25)*1)\/((-18)\/(-10)). What is the closest to 1.1 in -0.5, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.132 + -0.268. Which is the closest to -4? (a) -0.3 (b) y (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2160897 to the power of 1\/2, to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*n**3 - 2*n - 2*n**3 - 6*n + 9*n to o*n + a + k*n**3 + q*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 31 = -56. Suppose 3*s - 5*k = 2*s - 17, 0 = r*k - 20. Find f such that -3*f**4 - 331*f**3 - 30*f - 5 - 4 - 36*f**2 + 313*f**s = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 272942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1896*b**4 + 542 + 707 + 1086 - 14 - 170 wrt b?\nAnswer: -7584*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*u**3 - 1 - 2*u - 2*u - 86*u - 253*u**3 - 112*u**3 wrt u?\nAnswer: -2202*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - v + 4 = 0, -232*m + 5*v = -233*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -b999 (base 12) to base 5\nAnswer: -1123141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 22*m + 1 + 138*m)*(-3 + 3 + 4).\nAnswer: 640*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -12. Calculate the highest common factor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*a**3 - 164*a**2 - 424*a - 96.\nAnswer: -4*(a + 4)*(a + 6)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**4 - 135*t**3 + 580*t**2 - 660*t.\nAnswer: 5*t*(t - 22)*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 0.3 (d) -0.02 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -6, 31 = 5*v - 3*v + 5*d. Suppose -3*u + v*u = 25. Suppose -5*a + 5*t + 35 = 0, 0 + 11 = a - u*t. What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48803 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 5*u + 1254 = -4165, -u + 3 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -4*q + 9, q + z = 5*q + 1. Calculate the lowest common multiple of q and (-14)\/2*6\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -2\/7, -1\/4, -4, 21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/760 and 53\/4940.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {u: 7, i: 1, p: 2, m: 3, l: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + 11. Let r = 0.11 - -0.25. Let g = r - -0.04. Which is the closest to 0? (a) 1\/2 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1481 times -17556\nAnswer: -2600.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 128 + 80 = 0. Solve k + 9 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = -3*d - 3*p + 5, 5*p + 8 = -d. Let f be 132\/d*88\/(-12) + 0. Suppose -f = -5*o + 59. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {f: 1, s: 4, w: 3, n: 6}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -5*s**4 - 975*s**3 - 51945*s**2 - 448825*s - 1064250 = 0. What is s?\nAnswer: -99, -86, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2019 + -2019. Let f(x) be the first derivative of -3\/5*x**5 + 0*x**3 - 2*x**2 + 0*x**4 + o*x - 10. Find the second derivative of f(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -141, -529, -1179, -2097, -3289, -4761?\n\"Answer: -m**3 - 125*m**2 - 6*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of w**7\/35 + 43*w**6\/50 + 39*w**5\/25 - 157*w**4\/20 + 6*w**3 + 11593*w. Find l such that z(l) = 0.\nAnswer: -20, -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 33 = 29. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-65)*5\/2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -46, -173, -392, -709, -1130?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 161462871 and 2358?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 3*h = 298 + 1799, -3499 = -5*w - 4*h. Suppose -2*q = 2*j - 7*q - 473, -3*j + w = -q. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.021 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -18 + (56 - 29) + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o\/(o\/o**0))\/o)**(-3\/2))**30\/((o\/(o\/o**(-1)))**42)**22 assuming o is positive.\nAnswer: o**924","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 4*l**2 - 15*l - 1. Let n be w(0). Put -7, -39, n in descending order.\nAnswer: n, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*h - 21*h - 5*v - 100 = 0, 28*h - 1116 = v. Suppose 0 = 3*y + 2*y. Suppose y = k + 85 - 281. Calculate the remainder when k is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cvskkknvcvkwk. What is prob of picking 1 c, 1 k, 1 v, and 1 n?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-220 + -4)\/(-4) - 2. Find the third derivative of -23*h**2 + 8*h**4 + v*h**2 - 10*h**2 wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1897*g**2*u - g**2 - 2*g - 2308*u with respect to g.\nAnswer: -3794*g*u - 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2209 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/189*21 - (-32)\/(-21)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 - -34. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - -13541?\nAnswer: 13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57207 + 13\/(39\/6).\nAnswer: 19, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 14 - 10 - (10 - (-1 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -3*j**2 - 743. Let w(o) = -7*o. What is u(w(y))?\nAnswer: -147*y**2 - 743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/10)\/w**(1\/4) assuming w is positive.\nAnswer: w**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00056404006 to six decimal places.\nAnswer: 0.000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10207 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -1 and -2.12.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -3994?\nAnswer: 2\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -36593 (base 11) to base 6.\nAnswer: -1043332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**3 - 10*d**2 - 25*d + 2. Give l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 100257728411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -21*r - 67. Give u(4).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 58\/6153 and -91\/2930?\nAnswer: 61530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 2*o - 90, -o = 2*o + 5*t - 125. Let c = o + -45. Calculate the highest common divisor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3507518*h*k**3 + 7*h*k + 15*k**6 - 3*k**2 - 2022053*k wrt k?\nAnswer: -21045108*h + 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.913 - -1.087. What is the third biggest value in i, 1\/4, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rvrc when four letters picked without replacement from {c: 5, r: 5, v: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that l**3 + 5229300*l**2 + 62751492*l + 188254368 = 0.\nAnswer: -5229288, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 99 - (-10 - 46 - -174)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -361, -555, -747, -937?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 3 * 41936\nAnswer: 125808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.037? (a) -1 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the nearest to -18 in -5\/4, 2, 2\/9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 106 + -103. Suppose -5*u = g*w, -2*w + 3*u = 2*w - 29. Suppose 0 = -w*t - 5*b + 2871 + 524, -2712 = -4*t - 2*b. Is t 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 30*m**2*t**2 - 2*m**2*t - 19*m*t**2 - 5*t**2 wrt m?\nAnswer: 60*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4174 - 3274. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 127.49 + 159.112.\nAnswer: 286.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 902.433 litres?\nAnswer: 902433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.21*-1265\nAnswer: -265.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.12 - -0.11. Let p = b - 0.2300018. What is p rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -360.56036 to 0 decimal places.\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 260*a**6 + a**2 + 5426.\nAnswer: 31200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1557 and 1730.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1502, -1462, -1422, -1382?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00308927 to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 - -3.2. Which is the third smallest value? (a) w (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -102 - -104. Solve -3*l + 6 = 0, u + u = x*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6659494.\nAnswer: 2, 3329747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 - -8. Let n(q) = q - 6. Let i be n(9). Let p be 2*i\/12*-10. Is l at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 10) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -222219391*h**3 + 263318707*h**2.\nAnswer: -1333316346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 3 n when four letters picked without replacement from oouoonuunuuunun.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 4*s**2 + s - 3. Let u be q(-4). Let j = u + 25. Let p = -58 + 103. What is the greatest common factor of p and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k**3\/15 - 136*k**2\/15 + 198*k - 6804\/5 = 0. Calculate k.\nAnswer: 14, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = i - 4, -5*h - 6 - 22 = -3*i. Let y(b) = i*b - 1505 + 743 + 739. Let s(q) = -q. Determine s(y(u)).\nAnswer: -6*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -98, -207, -338, -479, -618?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*z - 41 - 92. Let c = 5 + z. What is the remainder when c is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -147 + 187. Suppose 47*x = o*x + 287. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4121531 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -3*c - 16. Let m be j(-7). Suppose z - m*z + 24 = 0. What is the third derivative of -7*k**2 + 0*k**6 - 5*k**z - 2*k**6 wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.2, 41\/20, -5, -4, -22.\nAnswer: -22, -5, -4, -1.2, 41\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -8, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-6)\/(-15))\/(192\/320). Which is the closest to v? (a) -1\/4 (b) 4\/9 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10210111000 (base 3) to base 9.\nAnswer: 123430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together -3 and -15.6.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5405 + 2?\nAnswer: -5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 2*b + 139650 = 0, -10*b - 15 = -15*b. List the prime factors of r.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -q - 11, p - q - 14 = 3*q. Suppose -z - 2 = -5*t - 0*z, z = -p*t - 2. Solve t*i = 2*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, o: 1}. What is prob of sequence ee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 21419 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 6*b**3 + 10*b**2 - 14*b - 14. Let l(s) be the third derivative of -s**6\/120 - s**5\/30 + s**4\/8 + s**3\/2 + 9*s**2 + 4*s. Determine -3*k(z) - 14*l(z).\nAnswer: -4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 13\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-1\/2)*j**3*j)\/(((j**(-2)\/j)\/j)\/((j\/(j\/j**(-5)))\/j)) assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 3, 8, -44, 54 in ascending order.\nAnswer: -44, 3, 5, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*l + 115 - 105 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -26. Suppose 0 = 2*s + z, s + 3*z = -2*z. Suppose s = -13*f + b*f. Is 2\/51 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**0\/h)\/h**3*(h**(-2\/7)\/h*h)**(-24))**(-2\/13))**(-5\/9) assuming h is positive.\nAnswer: h**(200\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = -5*i + 20, 6*i = 4*i + 3*q - 15. Which is the nearest to 4? (a) i (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/2)\/(v**(-15)\/v)*((v*v**21)\/v)\/(v*v\/v**(-10)))**37 assuming v is positive.\nAnswer: v**(1887\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -3240*m + 3244*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -2*f**5\/13 + 8160*f**4\/13 + 106328*f**3\/13 + 28340*f**2 - 204150*f\/13 - 2046500\/13 = 0.\nAnswer: -5, 2, 4093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13 - -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 219 a factor of 177908578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 0.8 (d) -0.03 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*r - 2 - 64*r + 9 - 138*r - 12.\nAnswer: -178*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 645572*s**4 + 2*s**3 + 2*s**2 + 1415488*s.\nAnswer: 7746864*s**2 + 12*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/488844 and 41\/271580?\nAnswer: 2444220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -86 or -3900382?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10027*i**3*j - 2*i**2 + 719391*i*j wrt i?\nAnswer: -60162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 658581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 67.78386 milligrams in kilograms?\nAnswer: 0.00006778386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.32 and 3.67?\nAnswer: -1.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -513, -487, -463, -441?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -2. Let r = -10.5 - h. Let l = -6 + 13. Put -2, l, r in descending order.\nAnswer: l, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pqp when three letters picked without replacement from {u: 2, x: 3, o: 1, q: 1, p: 3, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35976?\nAnswer: 2, 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*5*(1 + sqrt(11) + -3 - (0 + sqrt(1331))**2).\nAnswer: -20*sqrt(11) + 26660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -1905, -25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 60\/30*1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 10*s - 1. Let b(y) = 20*y - 2. What is 4*b(m) - 9*x(m)?\nAnswer: -10*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 7 + 0*o**2 - 34*o**2 - 9*o**2 - 13 + 77*o**2.\nAnswer: 34*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**2 + 8*o + 6. Let u be l(7). Suppose 0 = -2*h + u + 9. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7 - 450\/((-150)\/5). Let w(r) = -26*r + 11. Let x(h) = 17*h - 7. Let u be (1 - -4)\/(0 - -1). Determine u*w(o) + z*x(o).\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (103620\/7850)\/(3\/(-1)*14\/15).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.033 + -0.467. Which is the nearest to 0.2? (a) -4 (b) 0.2 (c) m (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*y**3 + 0*y**4 + 6*y - 1 - 2*y**4 + y + y**3 - 4*y**3 to m*y + v*y**3 + b + p*y**4 + f*y**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12622 divided by 3.\nAnswer: -12622\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -222*q + 9 - 2 + 0 - 5.\nAnswer: -222*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 4*o = 12, -6*c + 4*c - o = -9. Solve -4*v = f - c*f - 3, -4*v = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -516263859*y. Let j(i) = -i**2. What is j(w(q))?\nAnswer: -266528372109571881*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 2\/17, -3, 207, -2.921?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 43628217 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2321171.98 rounded to the nearest 10000?\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 34 by -50.\nAnswer: -17\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 + 3*-1 + 2. Suppose -5*r + 25 = 4*a, y*a - 21 = -r - 4*a. Let l = -0.1 - 0. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 10:36 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of -6*l + 0 - 1\/120*l**5 + 17\/720*l**6 + 0*l**3 - 11\/12*l**4 + 0*l**2. Let n(c) be the third derivative of r(c). What is n(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134 - 134 + 107*i**2.\nAnswer: 107*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -5 and 439\/189 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/30 and -19\/123?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -352015 divided by -70403?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5\/(10\/(-72)) - -1. Let q be k\/25 - 2\/(-5). Let d = 562\/5 - 112. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -349 > -2087\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-14)\/(-21))\/((-2)\/(-9)). Suppose y*o = o. Let o*p + 0*p**3 + 3\/4 - 3\/2*p**2 + 3\/4*p**4 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 38 = -j - 79, 5*s - 5*j = 150. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 12 - 52 = 0. Does 9 divide (1\/(3\/(-90)))\/((-24)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3770 divided by -290?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -544, -2, 118 in decreasing order.\nAnswer: 118, 4, -2, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 8*z - 9*z = 1541, -3*x - 4*z = -4630. List the prime factors of x.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1\/2448802?\nAnswer: -1\/2448802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d + d + 4*d)*(2 + 2 - 3)*(-3*d**2 - d**2 + 5*d**2).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 152461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2963.7 - -2964. Put r, -5\/7, 0.1, 2\/9 in decreasing order.\nAnswer: r, 2\/9, 0.1, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -311*r + 48190. Give h(155).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 246 - 1719\/7. Let d = 37 - 183\/5. Which is the second biggest value? (a) m (b) d (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 11\/952255 and -11\/16031.\nAnswer: 897976465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 214462 = 5*i + 2*q, 4*q = 4*i - 7*q - 171557. List the prime factors of i.\nAnswer: 2, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127770 is divided by 5544?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 235211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be 96\/(-10) - 10\/25. Let f = -5 - k. Solve x - j = -7, 5*x + f*j = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-4)*((-4784)\/39)\/8.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 3)*(147*k**2 - 25 - 6 + 191*k**2 - 388*k**3 + 387*k**3).\nAnswer: -k**3 + 338*k**2 - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111000 + -1101111110111?\nAnswer: -1110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10530 - 641. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 3*t = 63. Let y = t + -12. Let o(q) = q**2 - 6*q + 3. What are the prime factors of o(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 42*f - 32*f - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0021036044 to 5 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -10) + -58 + 59 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -171 + 14. Let p = -158 - o. What is the nearest to 4 in p, 4, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*k + 33*k + 19*k + 8*k - 24*k.\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of -c**6\/45 - c**5\/2 + 4*c**4 - 76*c**3\/9 - 59*c - 3. Determine o so that i(o) = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2660 + 2683. Calculate the remainder when 160 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -395573\/72 - -5493. Find the common denominator of -19\/10 and y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -233 - -290. Calculate the remainder when 325 is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 100304*a**3*h**2 + 51*a**3*h - 19*a**3 - 11*h wrt h?\nAnswer: 200608*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 118 times -0.4?\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -2a53153 (base 11) to base 8.\nAnswer: -23750641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 386\/1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 30 = -j + 2*y, 2*j + 2*y - 18 = 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*o = 71*o - 60. What is the third derivative of o*p**2 - 4*p**2 + 12*p**2 + 2 - 6*p**2 - 88*p**5 wrt p?\nAnswer: -5280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 6) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*12050.\nAnswer: 48200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 2*n - 48 = -3*q, 5*q - 150 = -n. Suppose -28*j - 3 = -q*j. Solve 6 = i + 2*v - j*v, -i = -2*v - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 505.694887 to 0 decimal places.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract -107112 from 3203095.27.\nAnswer: 3310207.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 864, 1893, 3184, 4743, 6576, 8689, 11088?\n\"Answer: n**3 + 125*n**2 + 647*n + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 8 - 5*r)*(-2*r - 2 + 2)*((-4 + 2 + 0)*(-r**2 - r**2 + 4*r**2) + 0*r**2 - 4*r**2 + 3*r**2 + 2*r**2 + r**2 - 2*r**2) - r + r - 3*r**4.\nAnswer: -43*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**0\/y)\/y)\/y*y*y**1*y)\/(y**(1\/14)*y*y**(2\/3)\/y))\/(((y*y*(y\/(y\/y**(-4\/7)*y))\/y*y)\/y)\/y**(-5))**(7\/8) assuming y is positive.\nAnswer: y**(-775\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -2*t**2 + 2694*t + 77002. Determine u(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*r = 60 + 100 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the second derivative of -3*n**6\/40 - 3*n**5\/16 - n**4\/8 + 2*n. Factor i(w).\nAnswer: -3*w**2*(w + 1)*(3*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -126 - -126. Suppose 0 = -t*j - j + 3*y - 3, 0 = 2*j - 4*y + 4. Find x, given that 0 + j*x**3 + 4\/3*x**4 - 4\/3*x**2 + 0*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12637546 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/4 and -113\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of i**4\/4 - 16*i**3\/3 + 3*i**2 - 96*i - 5007. Give t(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*3*((-4 + (sqrt(1377) + 0 - sqrt(1377)) - ((sqrt(1377) + 0)*-2)**2) + ((-6*(sqrt(1377)*-2 - sqrt(1377)) + sqrt(1377) + sqrt(1377))*6)**2).\nAnswer: -118939728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gwv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 980 + -818. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 33804 and 9.\nAnswer: 33804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 156024 divided by 396.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/((z*z**(-1\/5)*z)\/z*z*z))**(2\/11))**(-11\/7)*(z*(z**1*z)\/z*z**5)\/((z\/z**3)\/(z*z**(-4)\/z*z)) assuming z is positive.\nAnswer: z**(218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1753 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*w + 1136925 = -4*w + 86*w. List the prime factors of w.\nAnswer: 5, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.904206 rounded to 2 dps?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a = -o - 3, 0 = 4*o - 5*a + 2818 - 2806 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 0, -1, -2\/9, -4356, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/2*1956 + (-28)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (16\/100)\/((-2)\/5*1). What is the third smallest value in 2, p, -2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(10)\/sqrt(5) - sqrt(2)) + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -2*u**4 - 72*u**3 - 570*u**2 + 1444*u = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -143, 2\/15, -0.2, 1\/6, 129?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 PM and 11:58 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -964, -1, -15, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 54 and 10692.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-57)\/(-95) + 26\/(-60). Let t(h) be the second derivative of 0 - j*h**3 + 1\/12*h**4 + 7*h + 1\/6*h**2 - 1\/60*h**5. Factor t(w).\nAnswer: -(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 73867.91l to millilitres.\nAnswer: 73867910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + -2 - -1 - (-135)\/3. Let m = l - 2. Let s = -45 + m. Let y(t) = 10*t**3 - t**2 + t + 1. Give y(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 60 and 14124.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 324883 = 17*k - 39240. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -3*z. Let k(v) = 19*v + 2. Let i(u) = -246*u - 27. Let t(m) = -2*i(m) - 27*k(m). Give t(p(s)).\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -124, 6, -325, -3, 0, 4 in descending order.\nAnswer: 6, 4, 0, -3, -5, -124, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -16, -5*s + 7*s + 3*z - 182 = 0. Is 91 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*g**4 + 3*g**4 - 2*g**4 + (0*g - g + 3*g)*(-g**3 - 3 + 3) + 3 - 3 - g**4 + (0*g + 0*g + g**4)*(-1 - 3 + 6) - 2*g**3 + 2*g**3 + g**4 + 4*g - g**4 - 4*g.\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*v + 38*v + 8*v - 80*v + 19*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1377)*3)**2 + sqrt(17) + -1.\nAnswer: sqrt(17) + 12392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - (-2 + 1)*0. Let v be -5*o\/((-1)\/(-7)). Suppose h + 21 = 4*h. Calculate the highest common factor of v and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z + 8, 14*h - 19*h + 365 = 5*z. Put h, -2, -47 in descending order.\nAnswer: h, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -5*q - 12. Let c be r(-4). Suppose c - 4 = 2*y. Solve -y*i = -2*j, 2*i - 10 + 4 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + 30*l**2 - 79*l - 74. Calculate d(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - -6*(sqrt(2736) - 1*sqrt(2736))))**2 + sqrt(2736) + (-4*sqrt(2736)*-2 - sqrt(2736)).\nAnswer: 96*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r**2 - 3 + 3. Let c(t) = -7*t - 14. Let b(m) = -m - 3. Let j(q) = -14*b(q) + 3*c(q). What is j(k(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * 0.27\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 884361547.\nAnswer: 389, 827, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**4 + z - z + (13*z - 13*z + 9*z**3)*(4*z - z + z).\nAnswer: 34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of t**4\/4 - 2*t**3 - 3*t**2\/2 + 13*t + 4. Let k be j(6). Let f(x) = x**2 + 6*x - 7. What is f(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*o**3 - 3*o**3 - 3*o**3 + (13 - o - 13)*(-o**2 + 2*o**2 + 0*o**2) in the form s + l*o**2 + n*o**3 + h*o and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 27, 82, 171, 294, 451, 642, 867?\n\"Answer: 17*l**2 + 4*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 35 = -p - 4*h, -3*p = h - 63. What is the units digit of ((-3)\/(-12))\/(5\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qwyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4 from 1.81048.\nAnswer: 5.81048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 81 + -74. What is the closest to 1\/4 in 0.2, h, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/2956 and 27\/26?\nAnswer: 38428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15189188 to the nearest integer?\nAnswer: 3897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(24) - -1*sqrt(24))*-1)\/sqrt(12) + 2)**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 53. Let a = -78 + g. Is 20 a factor of (-1428)\/a - 6\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1103005 (base 7) to base 2.\nAnswer: 100001000101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 98 divided by -4\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 68, -26.56 in ascending order.\nAnswer: -26.56, -3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 154 and 9633140.\nAnswer: 67431980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a + 6. Let r be (45\/(-21) - -3)*7. Let f be g(r). Which is greater: -1\/6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 562303?\nAnswer: 7, 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 11534311 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-6) + (-8)\/(-6). Let t(w) be the first derivative of 8*w**3\/3 + w**2\/2 - w + 1. Let o be t(c). Solve -o*p + 4*x - 2 = -5*p, 5*p - 14 = -2*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 162636 (base 7) in base 6?\nAnswer: 405100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1\/6))**(-5\/4) assuming d is positive.\nAnswer: d**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7568 divided by 2.\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/171 - -40\/171. Which is greater: m or -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -370, -739, -1108?\n\"Answer: -369*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -14*c + 4*c + 10*c - 32*c. Let z(j) = 2*j**2. What is z(y(f))?\nAnswer: 2048*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -9 (b) 2\/7 (c) -0.04 (d) -5 (e) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -15633337*x + 5. Let i(h) = -31266673*h + 9. Let r(n) = -4*i(n) + 7*p(n). Let k = 108 - 111. Let z be r(k). Round z to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n*n*n**(-31)*n*n*n*n\/(n*n**(-2\/11)) assuming n is positive.\nAnswer: n**(-273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 320267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -58 + -19. Let b = 75 + c. Put 12, b, 5 in increasing order.\nAnswer: b, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0028019252 rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 149*k - 151*k + 240. Let n be (-642)\/5 + (-2)\/(-5). Let a = n + k. Let s(b) = b**3 + 8*b**2 + 3. What is s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-99)\/(96\/98 - 1). Let f = s + -28975\/6. Let z = 1719 - 34443\/20. Find the common denominator of f and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 420 and 10874520?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2 + 226*t - 1680.\nAnswer: 2*(t - 7)*(t + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7583 - 3614 + 339 + 1691)*(-o**3 + 2*o**3 + 0*o**3) to q + g*o + r*o**2 + s*o**3 and give s.\nAnswer: -9167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 7526*n - 143035. What is i(19)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.91 + -1.21. What is the second biggest value in -32, 1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (3060\/(-72) - -42)\/(2\/(-9446908)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-3*(-3 + (-4 + sqrt(3888) + 1)*-5))**2.\nAnswer: -38880*sqrt(3) + 876096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 210202 (base 5) to base 11.\nAnswer: 5228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**2)\/(l*l**(3\/4)))\/(l*l*l**(-1\/3)*l*l*l*l\/(l\/((l**(4\/9)\/l)\/l))*l*l*l) assuming l is positive.\nAnswer: l**(-319\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 468 is divided by 148?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -180 - -179. Let h be ((-1 + -1 + 3)\/j)\/(-4). Which is the third biggest value? (a) -1\/9 (b) -0.09 (c) h (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2440942627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 949*f**3 - 1550*f wrt f?\nAnswer: 5694*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6*32*19\/1216?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -594329.8 + 594329.99999944. Let n = m - 0.2. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13761, -27547, -41335, -55125, -68917, -82711?\nAnswer: -96507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7988540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2688 times -0.01\nAnswer: -26.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (36 - 35 - 41).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*x - 38 = -242 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -8 < 3985219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + (-8 + 6 - (6 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -2, 21, 0 in ascending order.\nAnswer: -8, -2, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(121)\/sqrt(99) + (sqrt(1100) - sqrt(44))\/sqrt(4) + (-6*(3*sqrt(11) - sqrt(11)) - (-2*sqrt(11) + -4)).\nAnswer: -17*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*l - 108*l - 1485 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 11*h - 6342 = -r, 16 = 4*h. What are the prime factors of r?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1*(10\/(-2) - -3). Suppose -3*k = -4 - v. Suppose -k*b = b - 651. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-5)*(-8)\/6. Let p = 5 - 4.8. Which is the nearest to 1\/3? (a) p (b) s (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.64371kg in micrograms?\nAnswer: 7643710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from caaffaa. What is prob of picking 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*l*y**3 - 9686*l*y**2 - 2669717*l*y - 2*y**3 wrt y.\nAnswer: 48*l*y - 19372*l - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -11982 < -11981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuuunuunnuuunuuuuu. Give prob of picking 1 n and 3 u.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (161\/28)\/(4\/80). Suppose 0 = -8*a - 29 - v. Are -18 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 + 14*y**2 + 18. Let p be f(14). Suppose -15*w = -4*i - p*w + 1284, -3*i + 956 = 4*w. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7\/60 - -2\/15. Let s be 5 + ((-27)\/(-6))\/(-1). Find g, given that -7\/4*g + 1\/2*g**4 - 1\/2 - s*g**3 - 2*g**2 + a*g**5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.66 rounded to 1 decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25\/2 in -2\/5, -0.027, 11.2?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - d = -39, -g - 2*g + 2*d + 30 = 0. Suppose -2*b + 2*y + 7 = -33, -4*b + 2*y = -84. Calculate the remainder when b is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2775572526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*f - 4247 = -216*f - 19*f + 8389 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 48169871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27)\/90*(11320\/240 + -43)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 51601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/28 - (-38)\/(-14). Let x be 1*d\/(-9)*9. Suppose 5*g - 20 = x*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -39930.156 and 26097?\nAnswer: 66027.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 378 and 10691268?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes after 4:33 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2 (b) -19 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 6 + (-14 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 140\/(-4) + (-2)\/2. Let f be 8\/28 + g\/(-21). Solve f*m - 12 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 59*a - 8 = -54*a, 2*a = 4*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -440.336 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Multiply 1.5 and 219.\nAnswer: 328.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -69*z**2 + z - 9. Let h(m) = 17*m**2 + 2. Determine 2*f(a) + 9*h(a).\nAnswer: 15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/26 (b) -4\/7 (c) 0.7 (d) -1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 - 10. Find the third derivative of -15*h**5 - 5*h**4 + 5*h**4 + 11*h**5 + 3*h**i wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 divided by -4.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 418*n - 2*n**2 + 11*n**2 - 88 + 215 - 367 - 64*n.\nAnswer: 3*(n + 40)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -298, -604, -912, -1222, -1534, -1848?\n\"Answer: -o**2 - 303*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*(-3 - 26\/(-8)). Let c be (-10)\/(-2)*m - 0. Suppose -4*o + 42 = c*x, 2*o - 3*o + 23 = -5*x. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6997?\nAnswer: 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*7\/(-14)*(-2)\/3. Put -30, o, 0, -5 in descending order.\nAnswer: 0, o, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 + (43 - ((-25 - -7) + 42)) - -90?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 + -0.3. Let x(b) = -b**3 + 6*b**2 + 8*b - 10. Let k be x(7). Let c be 4\/(-9)*(-3)\/12. Put c, k, g in increasing order.\nAnswer: k, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -5*c + 45. Let i be m(7). Solve 4*u - p - i - 2 = 0, 0 = -4*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3\/7 (c) -7176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-18) - 52\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**9)**47)**(-2\/17) assuming l is positive.\nAnswer: l**(-846\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -3*q**3 - 3*q**2 + 5*q. Let p(w) = -7*w**3 - 5*w**2 + 10*w. Let t(m) = 4*p(m) - 9*s(m). List the prime factors of t(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (10\/8)\/((-1)\/(-4)). Let q be (-2 - -10)\/4*4. Suppose -f*u + q*u = 9. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -17 * 527.\nAnswer: -8959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1342 + -1343. What is the smallest value in -63, 0.3, h?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 2 + 5)*(-4 + 2 + 1)*(-4*z**2 + z**2 + z**2)*(1 - 2*z**2 - 1) in the form u*z**2 + b*z**3 + m*z + k*z**4 + i and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*l + 3*n, -4*n + 1 = -l + 5. Suppose -t = 4*f + 2*t + 877, 5*f = -l*t - 1097. Let g = f + 322. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 797324 is divided by 398407?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 5*g - 5*z, 11*g - 5*z - 11 = 9*g. Solve 0 = 25*y - g*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ntntttnnttttn. What is prob of picking 2 n and 2 t?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 3*z**2 - 24*z + 42. What is the remainder when m(-7) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/3)\/(1308\/981)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -2\/5 (c) -2\/43 (d) -1.321 (e) -3\/31 (f) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5 + 6. Let x = -0.9 + r. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -30 (base 11) to base 16\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 17 = 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 273 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2 take away -2630632724?\nAnswer: 2630632726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lggg when four letters picked without replacement from ggggglglggggg?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -142\/7? (a) 4\/13 (b) 2\/9 (c) -2 (d) -11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 5*a + 4*u - 12, -5*u = 4*a - 13. Suppose 4*r + 74 = -a*v, r + 154 = -4*v - r. Let f = 739 + v. Round f to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(5\/3))**(-4\/7)\/(h**(-3)\/h*h*h*h\/(h*h**(1\/12)*h)) assuming h is positive.\nAnswer: h**(179\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -1059712 divided by 34?\nAnswer: -31168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 271 a factor of 1214163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of v + 0*v**2 + 25 + 0*v**3 - 43\/4*v**4 + 89\/10*v**5. What is the third derivative of q(g) wrt g?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 11:23 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nxpxyyek. What is prob of sequence pnyx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2.98 (b) 8 (c) 5 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 147745 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 156, 446, 924, 1632?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t. Let d(u) = 4*u. Let l be (-1)\/(1\/17*-1). Let i = l - 12. Give i*s(p) + 2*d(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -142, -726, -1706, -3088, -4878, -7082?\n\"Answer: -z**3 - 192*z**2 - z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - 6*m - 8. Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g + 2. Let o be v(4). Suppose -2*y - o = -28. Calculate the remainder when 31 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2806315 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -745, -676, -553, -370, -121, 200, 599, 1082?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the first derivative of 6509*j**5\/5 + 1812*j - 3000. Find the first derivative of r(h) wrt h.\nAnswer: 26036*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 5, v: 3, u: 1, d: 1, l: 4, j: 1}. What is prob of sequence un?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 50.1, -0.13, 0.1?\nAnswer: 50.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 6, x: 1, t: 1, c: 1}. Give prob of picking 3 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29 - 2*s - 7 - 2 - 13 - 1.\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3 + 2080*k**2 - 540800*k.\nAnswer: -2*k*(k - 520)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in -64\/15, 0.0102, 3\/7?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -122, -2, 5 in decreasing order.\nAnswer: 5, -2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.83 - -1.67. What is s rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 7) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25000*i + 154345*i + 100208*i + 51500*i.\nAnswer: 281053*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b**2 + 32*b + 3. Suppose 0 = -8*g - 116 - 12. Let m be j(g). Is 11 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of -h**6\/6 - 149*h**5 + 765*h**2\/2 - 445. What is the second derivative of j(k) wrt k?\nAnswer: -20*k**3 - 8940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**6*(d\/d**(-3\/4))\/d)**38 assuming d is positive.\nAnswer: d**(513\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 37, 3, 1, -75, -2, -5, 0 in decreasing order.\nAnswer: 37, 3, 1, 0, -2, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7564127 is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 7632\/11, -50, 146?\nAnswer: 7632\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 5:30 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) -3\/8 (b) 3 (c) -2\/841 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 33599910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -752 divided by -4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -53, -9\/1151, -1\/4?\nAnswer: -9\/1151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.02 times -33.24877\nAnswer: 0.6649754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 8452, 16850, 25198, 33496, 41744, 49942, 58090?\n\"Answer: -25*t**2 + 8473*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 10) + 7 + (-5 - -2) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, -18, -124, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -342*u**3 - 117976*u + 236038*u - 118062*u + 35*u**3.\nAnswer: -307*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 16*t + 33. Calculate z(-8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*j**5 - 3*j**3 + 54*j**2 + 4*j + 285 wrt j?\nAnswer: 40*j**3 - 18*j + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 581744.\nAnswer: 2, 103, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 - -9. Let d = s - -5. Let t be (-8)\/(3\/(-6)*d). Let n(q) = 2*q**2 - 2*q - 2. Let k(l) = 6*l**2 - 6*l - 6. Give t*n(p) - 5*k(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h + 6. Let u be d(7). Is 12 a factor of (8\/12)\/(u\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-13)\/(-78) + (-2)\/(-24))*(-4 + 7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 141102881?\nAnswer: 1861, 75821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3993 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -68 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 0 + a - 2\/3*a**3 + 1\/12*a**4 - 3*a**2. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 0)*(-14*z**3 + z**2 - 7*z**2 + 4*z**2) - 2*z**3 + 1 - 1 + (-4*z**3 + z**3 + 4*z**3)*(7 + 0 - 5).\nAnswer: 14*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 986.035 centuries in years?\nAnswer: 98603.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 - l**2 - l - 6. Let d be m(0). Let v(y) = y**2 + 6*y + 7. Let f be v(-5). What is the units digit of 10*((-21)\/d - f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 + 6*w + 4. Let c be (27\/(-12))\/(-2 + (-19)\/(-8)). Let o be j(c). Factor 2\/5*r**3 + 0*r**2 + 0 - 4\/5*r**o + 0*r + 2\/5*r**5.\nAnswer: 2*r**3*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 3866, 3844, 3822, 3800, 3778?\n\"Answer: -22*u + 3888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -552*x**3 + 989*x**2 + 1083*x**3 - 536*x**3.\nAnswer: -5*x**3 + 989*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-6\/25)*c**11\/c assuming c is positive.\nAnswer: c**(244\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2406 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 895813.4nm?\nAnswer: 0.8958134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/4, 12\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 72121399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -3*w**3 + 5*w**2 - 5*w. Let y(j) = j**3 - 2*j**2 + 2*j. What is 2*t(g) + 5*y(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 14*d + 11*d**3 - 2 + 5*d**3 - 11*d**3 + 11*d**3 + 2*d**2 - 19*d**3 as j + x*d**2 + v*d**3 + r*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -24, -47, -68, -87, -104?\n\"Answer: o**2 - 26*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 127156159 to the power of 1\/2, to the nearest integer?\nAnswer: 11276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 22*g**2 + 53*g - 1. Let o(m) = -20*m**2 - 49*m + 1. Give -5*o(w) - 4*z(w).\nAnswer: 12*w**2 + 33*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {z: 1, c: 1, b: 1, u: 1, f: 1, d: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -18*a + 2*a**3 + a**3 + 16*a. Let o(z) = -12*z**3 + 9*z. Calculate -9*i(l) - 2*o(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhho when four letters picked without replacement from {o: 5, l: 1, m: 3, h: 6}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 1 - 13 = 0. Let h(v) = v**3 - 3*v**2 + 7. Let b(t) = 3*t**3 - 8*t**2 + 20. Let s(z) = -6*b(z) + 17*h(z). Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 5 = -0*h. Suppose r = 7 - h. Calculate the remainder when ((-126)\/35)\/(r\/(-20)) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10211210000 (base 3) in base 11?\nAnswer: -51927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m = -3*o - 0*m, 4*o + 5*m - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2 + 113*g - 2658. What is n(82)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**2 + w + 3. Let g be c(0). Let i(z) = 2*z + 0*z**g - z - z**2 + 1 + z**3 - 8. Determine i(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - 5 - -1) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17388\/181 - 7385411\/77468. Let g = c + 2\/107. Let r = -2.4 + 0.4. Put r, -5, g in descending order.\nAnswer: g, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-20)\/(p\/(p*p**4))*((p\/(p\/(p*p*p**(-1\/5)*p*p)))\/p)**(-3\/2))**(-6\/25) assuming p is positive.\nAnswer: p**(606\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + u = 6 + 23, 5*u = 5. Let b(x) be the first derivative of x**3\/3 + 4*x**2 + 9*x - 9. Let a be b(n). Which is bigger: a or 6\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 t, and 2 r when four letters picked without replacement from {r: 2, t: 7, z: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooaoaaaarrarrrgarsa.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 29512 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.1 + 0.8. Let q(s) = -s**3 + 5*s**2 - 3*s + 1. Let i be q(4). What is the smallest value in 0.1, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 - 6*z**2 + 17*z + 10. Determine j(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 257985 and 490.\nAnswer: 515970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -47395 (b) 0.21 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2203*a - 31535 = -3104*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 91 - 90. Which is greater: b or -2.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ivvz when four letters picked without replacement from {g: 8, z: 4, i: 2, v: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2120327383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 - 7*u - 6. Let m be v(8). Let k(r) = 1 + 0 - m*r - 1 - 1. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(3\/16)*(v\/v**6)\/v*v**(-2\/59)\/v**15 assuming v is positive.\nAnswer: v**(-19679\/944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -19*w + 5. Let o(j) = -28*j + 7. What is 5*o(c) - 7*q(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2199 and -0.5?\nAnswer: 2199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from znnzznzzzznnn. What is prob of picking 2 z?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 629817401 and 3898.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0017276925 to seven dps.\nAnswer: -0.0017277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 594 and 29403.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 28509918 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 5 + 2)*(-1 + 0 - 2)*(-1 + 1 - k) + 0*k + k - 3*k + (2*k + 0 + 0)*(-4 - 2 + 4).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 195*k - 4112*k - 3167*k + 1410*k - 4955*k as s*k + o and give s.\nAnswer: -10629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2*4*3\/12 - -1. Let d be 515\/20 - ((-2)\/(-8))\/z. Suppose d - 4 = 11*i. Are i and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/10)\/((-2)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 2*s - 10. Let x be g(6). Suppose x*z = -2*b + 10, -2*b - 2*z + 3*z + 4 = 0. Solve 12 = -b*p - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -289 (c) 7 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -800 divided by 40?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**3 + 8*m**2 - 11*m - 16. Is 18 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 2*n - 2. Let x be t(-6). Let s = 18 + x. Let u(o) = -o**3 - 8*o**2 - o - 10. Let h be u(s). Sort -1, -4, h.\nAnswer: -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (-81 - 8) + 7?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 187\/120 and 2698320\/40017600 + 4\/(-70)?\nAnswer: 47640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 909979 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -9, -23 - 8 = 5*r - 2*p. Let y(i) = i**3 + 6*i**2 + 6*i + 3. Let d be y(r). Let m(n) = n + 2. Let x be m(d). Is -3\/10 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:35 PM and 12:35 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 - 9*t**2 - 10*t - 5. Suppose 0 = -4*z - z + 105. Calculate the remainder when z is divided by c(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 122221121112 (base 4) to base 13\nAnswer: 15a761c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 4225*k**2 - 2 + 4228*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 22388 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1700 or 1773?\nAnswer: 1773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w + 2*w - 3. Suppose 5 = -h + w. Let c(l) be the third derivative of l**6\/120 + l**5\/12 + 7*l**4\/24 + 2*l**3\/3 - 13*l**2. Calculate c(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 4*k + 17 + 37, 5*i - 53 = -3*k. Suppose 0 = 4*a + 5*j + 1 - i, -3*j = -3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 21*d = -126. Solve d*q + 10 = -14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 30*t. Let w(p) be the second derivative of -9*p**4 - 11*p - 183. Give f(w(d)).\nAnswer: -3240*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5351040892?\nAnswer: 2, 661, 2023843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -45039871.7 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -5*u - 23. Let q be b(5). Let w = -24 - q. Let v = w + -23. Sort -2, 4, v.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 + 43 + 8257*w**2 - 85.\nAnswer: 8257*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19 + 19. Suppose h = 2*o - p*o + 18, -2*h = o - 11. Solve -k - h = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/22 - 268\/(-22). Let r(p) = p - y*p**2 - 4*p + 3*p. Let a(o) be the third derivative of -o**5\/60 - 66*o**2. Give r(a(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 94 - 78 = -3*j, -384 = -5*v + 4*j. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004154 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes before 6:59 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 5) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 5. Give w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2179*n**4 + 2609.\nAnswer: 8716*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 421540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are 233 and 233 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gy when two letters picked without replacement from ygfgcggvfy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s + 7. Let r be q(3). Suppose r = t - 3. Suppose -t*w + 2*n + 10 = -212, -2*w = -5*n - 91. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 634030 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12638200*l + 59316470*l + 3808264*l.\nAnswer: 75762934*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 293 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/3 - (8 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2327494422 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the first derivative of -4*b**2 + 6*b + 5. Let z(m) be the third derivative of m**4\/24 - m**3\/6 - 3*m**2. Determine x(j) + 6*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2*q**2 - 30*q + 1. Let p be r(16). What is the greatest common divisor of p and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -d**2\/4 - 3552425*d\/2 - 7104849\/4 = 0.\nAnswer: -7104849, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -491251, -491263, -491289, -491335, -491407, -491511, -491653, -491839?\nAnswer: -492075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*z + 5*f = 67, -519*z = -520*z + 3*f + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + 237654?\nAnswer: 23764c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -7*r - 1. Let x(s) = 10*s + 1. Let w(n) = -7*t(n) - 5*x(n). Let b be w(3). Is 14 a factor of b*1 - (-12 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3093.6 + -3094. Let d = -7 + 7. What is the nearest to d in 1, 36, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3\/12 - 823*f**2\/6 - 14887*f\/12 - 3310\/3.\nAnswer: (f - 1655)*(f + 1)*(f + 8)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t + 2*t + 0*t)*(0*t**4 - 2*t**4 - 4*t**4) + (2*t**4 - 3*t**4 + 3*t**4)*(-3*t + t + t) + 5*t**5 + 10*t**4 - 10*t**4.\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 47220768 and 736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -27 - (-19 - (22 + -62))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2037361 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*j + 27*j - 48. Let n(s) = 33*s - j*s - 6*s. Let c(m) = 2*m + m - 4*m. Calculate n(c(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 1419833 = 3*g, 4*b - 489212 = -4*g + 930572. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1278916876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -9*s**2 + 5*s + 9. Let y(o) = 5*o**2 - 3*o - 5. Let t(z) = 4*c(z) + 7*y(z). Let u be (1 - 0 - (-3 + 3)) + -3. Determine t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b**4\/5 - 406*b**3\/5 - 5118*b**2\/5 - 1802*b - 860 = 0. What is b?\nAnswer: -10, -1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 401*v - 12384 = 377*v. Calculate the least common multiple of 86 and v.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 58*g**3*m*u**2 + 2*g**3*m*u + 5868*g**2*m*u**2 + g*m - 37352*g*u wrt u.\nAnswer: 116*g**3*m + 11736*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3969 times 0.7386?\nAnswer: 2931.5034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 149 - 136.8. Let r = 17.1 - y. Let l = r + -5. Which is greater: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -23*m**2*s + 456*m**2 - 28*s wrt s.\nAnswer: -23*m**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 234.13 - 233. Let t = l - 4.13. Which is the closest to 0.31? (a) 0.3 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*w + 8*w + 16. Let z be w\/(-2 + 6) + 3\/4. Solve 2*d = d + z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42041*d - 37544 = 43029*d for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1837 divided by 67312.\nAnswer: -1837\/67312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52601 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 16*i**2. Let y(l) = l**2 + 10*l + 5. Let u(q) = 6*q - 8*q - 2*q**2 + 0*q + 3*q**2 - 1. Let v(b) = -5*u(b) - y(b). Give r(v(m)).\nAnswer: 576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 495 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1765*d*r**5 - d*r**4 + 10*d + 2*r**2 + 4*r wrt r.\nAnswer: -105900*d*r**2 - 24*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 5*l**2 + 3*l + 12. Let q be w(-5). Let f be (-2 - q)*(-3)\/6*0. Solve 0 = 3*k - o + 2, -o = -f*o + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -88\/120361 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -109*u = -5191 + 6717 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 3 + 11 = 0. Suppose 3*a**5 + 3*a**4 - 6*a + 6*a - 4*a**5 - 4*a**u = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23000 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*z**2 - z**2 - z**3 - 2*z**2 + 3*z**2 to c*z + m*z**2 + d + y*z**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (12\/(-8))\/((-2)\/8). Suppose -2*y = s - 2 - b, -14 = -4*s - 2*y. Let l be s\/(-11) + 4\/22. Solve -5*x + 2*c + 13 = l, -5*x + 2*x + 8 = -c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of u**6\/30 + 113*u**5\/20 - 19*u**4\/2 + 2*u + 5. Factor o(y).\nAnswer: y**2*(y - 1)*(y + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*p*v**3 + 58*p*v + 5*p - 199*v**4 wrt v?\nAnswer: 18*p*v - 2388*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000111359 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 0 - 73 = -4*t, -5*g + 3 = -t. Let j = t - 21. Let x(a) = -a. Let p(y) = -10*y. Determine j*p(k) - 6*x(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of u**5 - 2837*u**3 - 8407*u**2?\nAnswer: 60*u**2 - 17022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.12 and 5711.\nAnswer: 5710.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44 - 29. What is the remainder when 29 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -333442, -666895, -1000346, -1333795?\nAnswer: -1667242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 8*k - 15*k**3 + 8*k.\nAnswer: -15*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -18122350.3 rounded to the nearest 100000?\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 8:50 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -531082769471\/367793937 - -7\/5837999. Let n = -1444 - g. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1132.5*-840.\nAnswer: -951300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87168?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -5 - -1 - (-3 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/13 + 362*s\/13 - 28.\nAnswer: 2*(s - 1)*(s + 182)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 4*j - 38 = -m, 5*m - 60 = 5*j. Let k be (-1 - -1) + 8 + -10. What is the remainder when m is divided by (-18)\/(-5) - k\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**3 + 2*n**2 + n + 2. Let h be s(-2). Let m be 1\/(h - 1) - -14. Let v be (4\/(-10))\/((-5)\/25 + 0). Solve 3*r = -v*g + 2, 5*g - m = 2*r + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 50800.23 centuries to millennia.\nAnswer: 5080.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w + 1. Let y(b) = 5*b - 20. Let h(k) = 2*k - 7. Let o(i) = 17*h(i) - 6*y(i). Suppose u + 5*x - 4 = 5*u, -u - 2*x - 1 = 0. What is u*o(f) + 2*m(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -258*n - 2210. Give o(-5).\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of p**5\/720 - p**4\/144 - 5*p**3\/24 - 13*p**2 - 1. Solve w(u) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u + 10. Let t be n(6). Let x be (t\/(-5))\/((-10)\/25). Determine z, given that 1\/3*z**4 - 1\/3*z - 2\/3*z**x + 2\/3*z**3 - 1\/3*z**5 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 - 18*w**2 + 2*w - 33. Let c be k(18). Suppose 2*q - 76 = -c*q - 4*z, 2*q + z = 31. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(((-100)\/45 - 5\/1) + 7)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r\/r**(-27\/7)))*r*r*r*r**(-2\/5)\/r*r*r)**33 assuming r is positive.\nAnswer: r**(9768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*a - 83*a - 6 - 10*a + 6.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 417, 568, 825, 1188, 1657?\n\"Answer: 53*c**2 - 8*c + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2596.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*y - 2 = -202 + 33 + 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 - 28*b**2 - 181*b + 11. Calculate the remainder when 1926 is divided by f(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y**3 - 652*y**2 - 4*y + 652 = 0.\nAnswer: -1, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8536521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.5, -5, -3\/5, 15, -5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from bgjjsgbcggjaggggs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 12*g + 27 = 0. Let m = -467 + 466. Do m and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*v = 148*v + 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3769491 smaller than 3769492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(11\/3)*r**(-2\/3)\/r)**(-37)\/(r**2*r*r*(r\/(r\/((r*r**(-2\/9))\/r))*r)\/r*(r**1)**14) assuming r is positive.\nAnswer: r**(-826\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 72 + 66. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 29320274 to the nearest integer?\nAnswer: 5415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 231 divide 44261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 9:04 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 46*l**3 + 35*l**3 + 0 - l + 1. What is the remainder when k(1) is divided by 396\/14 - (-4)\/(-14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -4*p + 1. What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -262\/17 (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1412760 divided by -10?\nAnswer: -141276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -137*r - 2618 - 944 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -16*j + 355. What is c(25)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 - 6*h**2 + 2*h + 3. Let o(m) = 2*m**3 + 12*m**2 - 3*m - 5. Let j(u) = -5*k(u) - 3*o(u). Give j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -123 - -243. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 + 62*u**2 + 16*u + 5. Let z(q) = -q**3 + 31*q**2 + 7*q + 2. What is -2*g(p) + 5*z(p)?\nAnswer: -3*p**3 + 31*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - ((-10 - 23) + 16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - -2b5?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 62945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyyooyoltltloyytll. What is prob of sequence yy?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 28.8 (c) 0.2 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -387*s + 384*s - 271 = -4*p, 232 + 1 = p - 5*s - 247 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -w**4 + 1050880*w**3 - 276119768958*w**2 + 17116396107520*w - 265288487207041 = 0.\nAnswer: 31, 525409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 PM and 4:40 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19.3 + 19. Let w = 0.4 - y. Let u = 0.70016 - w. What is u rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 429 - 427. Which is the nearest to 1\/2? (a) 0 (b) -0.4 (c) g (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) -0.3 (c) -4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 856016704.\nAnswer: 2, 449, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 + -5 + 22 + 40\/(-4). Let z(n) = n**3 + n**2 - n + 2. Let l be z(0). Put 40, o, l in increasing order.\nAnswer: l, o, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, m: 4, j: 4, z: 1}. What is prob of sequence jcj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -7*k**2 - 12 + 10 + 40*k**4 + 9*k**2 as h*k**3 + j*k**4 + u*k**2 + d*k + x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*z**3 - 7*z**3 + 5*z**3)*(z**2 + 0*z**2 + 4*z**2) - 5*z**5 + 3*z**5 + 0*z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 4:52 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 507772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1820, -3639, -5458?\nAnswer: -7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 - (0 + 2)) + (452 - (67 - -313)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 538221438 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: What is (-16*18\/288)\/(-33*3)?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -109803 or -109801?\nAnswer: -109803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -20*t**2 - 1176*t - 903. What is w(-58)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (0 - -1 - 0) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 192, 0, -1, 1\/4, 1\/7, 2, -14 in ascending order.\nAnswer: -14, -1, 0, 1\/7, 1\/4, 2, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5492 + 5498. Let p(d) = 23*d**3 + 26*d**2 - 17*d + 17. Let m = -54 + 37. Let g(s) = 8*s**3 + 9*s**2 - 6*s + 6. What is l*p(h) + m*g(h)?\nAnswer: 2*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 94543698 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: What is the biggest value in -13, 3\/5, 1\/4, -1\/3, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**6*g**(5\/2)\/g*(g**(1\/3)*g)\/g*g\/(g*g*g*g**(1\/4)*g))**(-6) assuming g is positive.\nAnswer: g**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.239? (a) -2.9 (b) -23 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 5639.56 years to decades.\nAnswer: 563.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002097063 rounded to six decimal places?\nAnswer: -0.002097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 36624135 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: Let q = -3696 - -33328\/9. Let u be 6\/(-21) + (-167765)\/63. Let j = -2659 - u. Calculate the common denominator of j and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 54\/7 + 4\/14. Suppose 4*t = -t - 25. Let u = h + t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*c - 199 = 145. Calculate the greatest common divisor of 1936 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, -25, -10, -5, -9 in decreasing order.\nAnswer: 2, -4, -5, -9, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 663 is divided by 622.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u**2 + 21*u + 37. What are the prime factors of k(-15)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from {p: 3, m: 2, o: 12}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the third derivative of -j**6\/120 + 7*j**5\/60 + 7*j**4\/24 - j**3\/3 - 3*j**2 - 5*j. Suppose y = -3*h + 2, -2*h + 48 = 5*y - 6*h. Determine f(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uanaswi. What is prob of picking 1 s, 1 w, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10260163436 + 0?\nAnswer: 10260163436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.05393 - 415.24607. What is a rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 742 is divided by 384.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 l, and 1 j when three letters picked without replacement from {m: 10, v: 2, j: 1, l: 4, y: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -38 + 46. Suppose -78 = 5*w - l*w. Solve 4*j - 4*u = 8, 5*j = -0*j - 3*u + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 112873262 and 154850.\nAnswer: 6194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**3 + 85522*h**2\/3 + 9478942*h\/3 + 525816 = 0. Calculate h.\nAnswer: -109, -1\/6, 7236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 38364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -20 - 17*o + 5*o + 9*o. Let y be k(-15). Calculate the highest common divisor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000020065873 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(3\/5)\/a**(-2\/7)*(a*a*a**(-1))\/a*a**(-5\/4) assuming a is positive.\nAnswer: a**(-51\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*l - 2*a - 3 = 70*l, -4*l = 2*a - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 110 (base 3) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 8:20 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1106308, -1106310, -1106312, -1106314, -1106316, -1106318?\n\"Answer: -2*o - 1106306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -2*i + 40. Let w = 7775 + -7763. Calculate the greatest common divisor of i and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand v**2 + 2*v**4 - v**2 + (0*v**4 + v**4 + v**4)*((-3 + 7 - 1)*(-2 - 3 + 2) - 3 + 6 - 1).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 149 + -149. Let l = 0.37 - -0.03. Let x = 0.1 - -0.9. What is the closest to x in l, 3, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 372*v**4 + 11*v**2 - 23.\nAnswer: 8928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1698850217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 622461 (base 7) in base 14?\nAnswer: 2aba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 293 a factor of 2157458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 333*n = 15909 - 4254 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 + 5)*(-84)\/70. Let t = a + 19. Calculate the remainder when 49 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 + 30*z**2 - 15*z + 46. What is g(30)?\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 11\/10 of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 4*n - 7*n - 1, n + 12 = -2*s. Let l = -222 - -225. Sort s, l, -37 in descending order.\nAnswer: l, s, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8533, -17080, -25627?\nAnswer: -34174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + l)*(l**2 - 3*l**2 + l**2) + 0*l + 0*l + 5*l**3 + (-3 + 6 - 1)*(-2*l**3 - l**3 + 0*l**3) + 0*l**3 + 3*l**3 - 2*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15.942 + -0.058. Let z = l + 15.5. Put -3, 1, z in increasing order.\nAnswer: -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of z**6\/15 + 229*z**2\/2 - 53*z. What is the first derivative of o(g) wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 1 - 1\/4*u**2 - 3\/4*u = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10841\/1572 + -90\/131. Find the common denominator of -59\/9 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 933 - 0?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 363147 + -18?\nAnswer: 36312e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 566 a factor of 38475619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -4, 24 in descending order.\nAnswer: 24, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 5 + 4. Suppose -4*d + 3*d + 2997 = -4*l, 15 = -5*d. Let v be (l\/7)\/(t\/252). Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 PM and 12:11 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = -2*h. Let t be 0\/(2\/(-2) - h). Is 2\/9 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (74*(-6)\/28 + 15)\/((-66)\/14). Suppose -m + 1 = 3. Let y be (24\/(-10) + 2)\/m. Which is the nearest to -3\/13? (a) y (b) w (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8500986643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 2*c**2 - c + 1. Let t be 2\/(-4) + (-6)\/4. Let v be u(t). Suppose 0 = -o + 6 + v. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*f - 14980 = 252*f + 51*f + 10864 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 3*q**2 - 2*q + 6. Let u be s(2). Let k be ((-6)\/u)\/(8\/24). Solve 0 = k*h - 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13066 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 4957.\nAnswer: -991.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -109 - -109. Suppose q = -2*q + 3*g + 822, n = 2*q - 5*g - 551. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y - 3 + 1 + 2.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence be when two letters picked without replacement from ebbeexeeybbexeeb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 3 + 9 + 40*k**2 - 7 - 19*k. Suppose -5*d = 3*j - 39, -2*j - 3*d - 1 = -26. Is s(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30512511 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -32 - -9 - (-37 + -12)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3718189.\nAnswer: 17, 218717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -3*y**2. Suppose -30 = -3*m - 3*m. Let z(d) be the third derivative of 0*d**4 + d**2 + 0*d + 1\/60*d**m + 0 + 0*d**3. Calculate x(z(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72924 and 226?\nAnswer: 8240412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1*-673.078\nAnswer: -673.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/(-5))\/3*-2*6\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -3*v - v. Let r be 5\/((-15)\/v) + 1199997. What is r rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -297*g*s**5 - 339*g*s**3 + 2557621*g*s - 2*s**2 wrt s.\nAnswer: -5940*g*s**3 - 2034*g*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 8.1. Let c = t - -0.99. Let z = 0.09 - c. Sort -7, z, -4 in ascending order.\nAnswer: -7, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand g**3 + 2 - 2 + (g**2 + 0*g**2 - 3*g**2)*(-2*g + 0*g + 0*g) + 3*g**2 - 6*g**3 + 5*g**3 + 2*g**3.\nAnswer: 6*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 59, 290, 687, 1250, 1979, 2874, 3935?\nAnswer: 5162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 436424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 + 34b784?\nAnswer: 34b784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 174*f + 173*f + 178*f + 197*f - 767*f.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of 0*s**5 + 0*s**2 + 0 + 4\/3*s**4 - 6\/5*s**6 + 0*s**3 - 12*s. Find the third derivative of n(p) wrt p.\nAnswer: -864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 - 7.4. Let m = -142118\/95 + 1496. What is the smallest value in 4, a, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 - c**2 - c + 2. Let m(u) = u**3 - 6*u**2 - 14*u - 16. Let h be m(8). Determine t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zzzzyzzy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 15815165 divided by 5?\nAnswer: 3163033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 149.290428 hours in weeks?\nAnswer: 0.8886335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of -z**4\/8 + 16*z**2. What is c(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/q**(1\/44)))\/q**(2\/13) assuming q is positive.\nAnswer: q**(-75\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -2080 - 556*s + 1039 + 1043 - 86*s as p*s + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/8 and -127\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -68 times 0.017927\nAnswer: -1.219036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add 49390558 and -0.4.\nAnswer: 49390557.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 3*a = -2*m + 7*m - 131, -9 - 5 = -m + 7*a for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 - 7*p**2 - 7*p + 8. Let n = 25 + -177. Let l = n - -146. What is o(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in 1\/2, 32, 0.28, 10.5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*s**6 - s**4 + 16*s**3 - 13*s**2 + 84 wrt s.\nAnswer: 480*s**3 - 24*s + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/5 - 3244*o**2\/5 + 1101189*o\/5 + 555011118.\nAnswer: (o - 1977)**2*(o + 710)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12.87103 + 12.941. Let i = r - 0.07. What is i rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 36\/30*1*-5. Let o(g) = -g**2 - 5*g + 3. Let r be o(w). Let q be (r\/42)\/((-1)\/(-4)). Which is the smallest value? (a) q (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31420679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104*h - 2006 = 14*h. Let w = 8 + -2. Is 11\/(33\/w) + h\/(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-120)\/(-70))\/(2\/7). Solve 0 = 2*o - t*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*p + 5*q + 1182866 - 1182945, -14*p + 290 = 4*q for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhaewwne. Give prob of sequence nwha.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y + 2*b - 957, b + 2*b - 760 = -4*y. What are the prime factors of y?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-5) + (27\/(-5))\/3. Let f(w) = -w**2 - w - 1. Let h(t) = 50*t**2 + 6*t - 12. Let k(j) = v*h(j) - 6*f(j). Differentiate k(z) with respect to z.\nAnswer: -88*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 + 1 + 1 - (-17 + 15). Differentiate -1017 - 8*a**m + 2*a**4 + 2912 - 1024 - 1039 wrt a.\nAnswer: 8*a**3 - 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1626 and 672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49 - -77. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -81940, -81810, -81468, -80812, -79740, -78150, -75940, -73008?\nAnswer: -69252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -145013 divided by 15?\nAnswer: -145013\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d\/d**0)**(3\/2))**22)**31)**(2\/39) assuming d is positive.\nAnswer: d**(682\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.793 - -0.007. Let t = o - -2.2. Suppose -3*x - 3*g = -18, -2*x + 3*g = g + 4. Sort x, t, 0.3, -2 in descending order.\nAnswer: t, x, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1214 - 1206. Let r be 9\/6 - 21\/(-2). Do r and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1\/5))**(-14)\/(l**(-1))**(-50))**(2\/7) assuming l is positive.\nAnswer: l**(-472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 597 - -11. Let x = 92 + y. Is x a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*x + 0*x + 3*x)*(4*x - 2*x + 0*x) - x**2 - 11 + 11.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2818763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -10 and -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 32144285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**2 - 49*g + 7. Let b(h) = h**2 + h + 2. What is -3*b(t) + y(t)?\nAnswer: -2*t**2 - 52*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 + -6. Suppose 2*d - 12 = 5*d + 3*i, -d + 2*i = -8. Solve d = f*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 3*w - 1. Let d(v) = 13*v - 7. Let y(g) = -15*g + 8. Let x(o) = 7*d(o) + 6*y(o). What is i(j) - 2*x(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 686.1249 millennia in years?\nAnswer: 686124.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**2\/3 - 1018*a\/3 + 3976.\nAnswer: 2*(a - 497)*(a - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d + 1. Let w(f) = -4*f - 3. Let l(z) = 3*z + 3. Let p(n) = -3*l(n) - 4*w(n). Let j(u) = -p(u) + 2*r(u). Determine j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from xqqxqqqqqa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 9. What is the units digit of (3 - o) + -3 + 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**3 - 65*n**2 + 2625*n - 21375 = 0. Calculate n.\nAnswer: -95, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 827493 and 62115?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -9*65\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oioi when four letters picked without replacement from iiioiooooooooooiooo.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 3. Let q(a) = -a - 1. Let w(s) = 6*s + 5. Let j be -2 + 1\/(1\/(-2)). Let r be j\/(-4)*5*-1. Give g*w(k) + r*q(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2094 - 720. Let w = -1373.99333 + a. What is w rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 + 2*b**2 - 1. Let c be o(1). Let k(v) be the second derivative of -v**5\/20 + v**4\/12 + v**2 + 2*v - 39. Give k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*a - 21*a = -5*o - 50*a - 11, -7*o - 5*a + 4*a - 20 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 218*n**4 + 19*n**2 - 8*n. Let q(y) = -2*y**2 + 2*y. Let r(l) = -d(l) - 4*q(l). What is the third derivative of r(b) wrt b?\nAnswer: -5232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s. Let z = -12 - -17. Suppose -4*i - 17 = -z. Let d(q) = -q + 1. Let b be (0 - (-2)\/5)*5. What is b*d(p) + i*l(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k - 1 - 1 - 4*k)*(-3 + 3 + 11*k**2).\nAnswer: -11*k**3 - 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 498 = -2*i. Let u = 619 - i. List the prime factors of u.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of -d**4\/16 + 83*d**3\/3 - 6889*d**2\/2 - 2831. Find h, given that g(h) = 0.\nAnswer: 0, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -w**4\/4 - 4*w**3 - 24*w**2 - 64*w + 39. What is m in r(m) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7761 + 11663 = 1179*q - 30094 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = 5*u - 4*s, 22 = -u + 3*u - 3*s. Solve 0 = 2*b - 4, d + 2 = -3*b + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - g - 4 - 3 = 0, 0 = 4*d + 5*g - 55. List the prime factors of (214 - d) + 0 + -1.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5.23 (b) 0.062 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o + 5. Let q be w(8). Let v = 46\/781 + 1148\/7029. Let t = 1.6 + -5.6. Which is the closest to v? (a) 0 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 22.99 or 2810?\nAnswer: 22.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*j - 5, r - 5*j = -18. Let b be (r\/(-3))\/((-2)\/12). Suppose b*f + 4 = -8. Which is bigger: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 5*y**2 - 4*y + 2. Let i be q(-4). Let v = 5 - i. Suppose p + 51 = 4*p. Solve v = -5*m - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**2 + p**2 - 31*p**3 + 10*p**3)*(35 - 11*p - 35).\nAnswer: 231*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-102)\/(-459))\/(2\/(-1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7588*x + 41391 = 7589*x. Does 64 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 - 5*i**2. Let u be n(-5). Let x = 343 - 338. Sort 0.4, 4\/3, u, x.\nAnswer: u, 0.4, 4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 151 + -112. Let c(q) = 3*q**3 - 4*q**2 + 37 - q**3 - s - q**3 + 2*q. Determine c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - -997a?\nAnswer: 9980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((4\/(-7))\/((-300)\/(-210)))\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/11, -1, -0.3, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 339834 by 57.\nAnswer: 5962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -94.9614 and 0.7.\nAnswer: -66.47298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -72 - -100. Calculate the smallest common multiple of 36 and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 4 + (-7 - 0) - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 572*m + 1674 + 15846 + 11777 = -2163 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - -35 - -5 - 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 + (-3 - -3) + 92. Let h = f - 52. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*n + 6*n = -143130. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6 and 46610266.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 188 and 95415875?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 390418459 at least 390418457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r = 11*g + 5*g - 1815 + 1482, -4*g = -5*r - 89 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 59\/4 of a meter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**2 + 303*n + 127. Let k be l(-101). Which is the nearest to -0.1? (a) 1 (b) -1 (c) k (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-20)*l)\/l*l**(19\/4)*(l\/l**(1\/11)*l)\/l**31 assuming l is positive.\nAnswer: l**(-147\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - a - 76724 = -7*i, 2*i = -5*a + 51172. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of -6*a - 7\/2*a**2 + 1\/12*a**5 + 0 + 1\/6*a**3 + 0*a**4. Let l(y) be the first derivative of p(y). Differentiate l(c) wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-17136)\/80)\/((81\/120)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*m**2 - 21*m + 1 + 5*m + 4*m**2 to d*m + r + p*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -416*h - 5 = -417*h + 2*k - 3*k, k = 5*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from jttjvtvtvv.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -21350, 35, -24.\nAnswer: -21350, -24, -2\/7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**2 + 0*r + 7 + 15 - 3 - 14*r. Let k be d(-15). Solve 4*c - k*f = 28, 0*c + c - 2*f - 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*s - s - s + (-2 - 4 + 5)*(-811*s + 1647*s - 747*s))*(1 + 1 + 0) in the form z*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-49062)\/(-8177))\/(-9*(24\/(-171))\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -252.3 + 261.3. What is the third smallest value in -3\/2, t, 45, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5.417+57121.55\nAnswer: 57116.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t + 2*t - 4*t)*(0 + 2 + 1)*(2804*t - 5613*t + 2338*t).\nAnswer: -1413*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 112.3917039 nanoseconds to weeks.\nAnswer: 0.00000000000018583284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25587966 is divided by 230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/49))**(3\/7) assuming l is positive.\nAnswer: l**(-6\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 367 + -235. Calculate the highest common factor of 44 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11 + -10. Suppose -d + b = -2. Calculate the remainder when 47 is divided by (-658)\/(-70) - d\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(((-30)\/5)\/(-12)*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssaszxg. What is prob of picking 1 a, 1 s, 1 x, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 2*t + 6, 0 = g + t - 4 + 3. Find the third derivative of 37*c**3 - 2*c**g + 254*c - 135*c - 170*c wrt c.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7*u**2 + 6 - 8 + 10 wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -36 and 2543140.847.\nAnswer: 2543104.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*u + 4, -2*s + 18 = 4*u. Suppose -6*j = -3*j - s. Let k(d) = 2*d**2 - d + 1. Let i be k(j). Solve -12 = -5*p - o, 14 = 4*p + p + i*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1721 = -28*z - 349. Suppose -20 = 48*t - z*t. Solve 2*g - 16 = 5*l, 6*g = 2*g - 3*l - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2560*x. Let d(t) = -17*t. Give z(d(j)).\nAnswer: -43520*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 PM and 1:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 121652*a - 3252 = 121381*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 12:01 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**9)\/d)\/d**(2\/3) assuming d is positive.\nAnswer: d**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*(-1 + -2 + 8). Let t = 30\/37 + -261\/185. Which is the second biggest value? (a) 0.4 (b) q (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -5*j**2 - 22*j + 47. Calculate d(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1.14403768 rounded to four decimal places?\nAnswer: -1.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 12) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -10) + (-4 + 1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6481393*p**2*x**3 + p**2*x**2 - 3242*p + 14624*x**3 wrt p.\nAnswer: -12962786*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/((a**(-16)\/a)\/a))**(-2\/5) assuming a is positive.\nAnswer: a**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tvvvuvuuu. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is -0.000294951 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -318*p - 404. Let c be m(-2). Calculate the highest common divisor of 128 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12766 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.47058571 + -1890.\nAnswer: -1887.52941429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2129277.\nAnswer: 3, 647, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 355961?\nAnswer: 149, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) + 0 + sqrt(252) + sqrt(252) + 4)**2 + 4)*3.\nAnswer: 432*sqrt(7) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 17944 + 94240 = -4509*o + 12956*o + 5576*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**2 - 2*z + 1. Let q be s(-3). Let k = 5 + -5.1. Let h = -593\/5 - -118. Which is the closest to 0.2? (a) h (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 28874 + -16772. Is c a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.09, 84\/29, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/290*(1116 + -1111)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/7 in -2, -1\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (5\/6)\/(((-16340)\/798)\/86)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 5*n - 5*l - 121, 3*l + 43 = n. Solve -2*y - 11 = -3, -5*m + 3*y + n = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = 6*x - 16, 0 = 3*o - 5*x - 388. Let t = o - -148. What are the prime factors of t?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*j**2*w**2 + 2417*j**2*w - 97*j*w**2 - 3444*j*w wrt j.\nAnswer: 22*w**2 + 4834*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 101396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 41351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -11726*r + 11726*r + 163*r**3 + (0*r - r + 0*r)*(335 + 72*r**2 - 335) in the form t*r**3 + s + b*r**2 + j*r and give t.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence njoj when four letters picked without replacement from {m: 4, o: 2, n: 1, s: 1, q: 1, j: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 122, 265, 480, 779, 1174, 1677?\nAnswer: 2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 97992147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 608 and 4226304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -315*s + 315*s - 17*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of 334*f**3 - f**2 - 1291*f + 1379. What is the first derivative of v(s) wrt s?\nAnswer: 2004*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -899 in -0.3, 1\/4, -9, 4, 1, 0.15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dtk when three letters picked without replacement from tqaaktdj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from wznnzhznwwnnzzwznz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 35 - 19 - 2 - (82 - (-7 + 0))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -31 - -43. Let h be 38\/d + 3\/(-18). Put -3, h, 1 in increasing order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -21*z + 19. Let p(i) = 10*i - 9. Determine -3*b(w) - 7*p(w).\nAnswer: -7*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 312*s + 256*s - 383*s)*(0 + 4 - 2) - 5*s + 2*s + 4*s + s - s - s + (3*s + 2*s - 2*s)*(3 + 0 - 4) + 2*s - 2*s - 2*s.\nAnswer: 365*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.5 (c) -14793 (d) 2\/11 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 2*m**2 + 2*m - 6. Let i(s) = -s**2 + 5*s + 18. Let b be i(8). What is the units digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*(-28)\/(-15) + (-860)\/(-645). What is the second biggest value in 5, a, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2036116104?\nAnswer: 2, 3, 11, 167, 46183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**0*t)**(-22\/9)*t**1\/t**(-10) assuming t is positive.\nAnswer: t**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 93 (base 10) to base 7.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-287)\/77 - 4\/(-1). Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15 or 960\/59?\nAnswer: 960\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g = 63 + 21. What is the least common multiple of g and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) 12869 (c) -2\/11 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -22*p + 70. Give c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*h**6 + 8*h**5 + 60053*h**3 + 1216026*h**2 wrt h.\nAnswer: 600*h**3 + 480*h**2 + 360318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (z - 2*z - 4*z)*(1 + 0 + 2)*(1 - 1 + z).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -603, -617, -623, -621, -611?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 4, d: 14}. Give prob of picking 2 d and 1 u.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes before 1:37 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2 + sqrt(17))*6)**2.\nAnswer: -144*sqrt(17) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 1, g: 2, d: 2, s: 1, r: 1, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 99*h**3 - 3*h**2 - 6*h - 4. Is u(3) a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of 12*r**5\/5 - 23*r - 11. What is the first derivative of y(l) wrt l?\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -27.7433716 + 20.743366. Let d = o - -7. Round d to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cj when two letters picked without replacement from ncjjf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 + 8*w**2 + 15*w + 20. Let g be l(-6). Let n be (-104)\/39*(-6)\/g. Suppose -888 = -n*z + 15664. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1123235271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 25\/4 (c) -63 (d) -0.2 (e) 0.32 (f) -0.03 (g) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 53589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the second derivative of -r**4\/4 - r. Let j = -6 + 8. Let h(u) = 2*u**j - 2*u**2 - 2*u**2. Calculate h(d(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -4. Let t(q) = -141*q + 3663. Let w be t(26). Let n(d) = d + 3. Calculate w*r(o) - 4*n(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 60 - 72.2. Let o = -12.200081 - j. Round o to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 2*k + 1 + 1, 5*k + 18 = i. Is 57*((-2159)\/(-102))\/(i\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 669 - 154. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 5.050122 times -12\nAnswer: -60.601464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14 - (-4 - -21)) + (1 - 1) + 10 - -19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 5*n = -5, 3*h - 39785 = -2*n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 18937.17mg to nanograms.\nAnswer: 18937170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is abb - 1?\nAnswer: aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*v**2 + 363*v - 7944.\nAnswer: 20*v + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = -10*l + 4. Put 4, l, 18 in ascending order.\nAnswer: l, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hvhrvvyvwrhhyr. Give prob of picking 2 y.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q + 12 = 3*y + 5*q, -5*y + 22 = -4*q. Let j be 6\/10*10\/2. Solve -y*l + j*h = l - 12, 2*l + 4*h = 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -4*j**2 + 6*j - 3. Let m(f) = f**2 - f + 1. Let c(r) = b(r) + 3*m(r). Let i(l) = l - 2. Let h be i(6). What is c(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 * 29.449422\nAnswer: -29.449422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -5*y**4 - 6430*y**3 - 2086425*y**2 - 12320000*y - 10240000 = 0.\nAnswer: -640, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-118)\/944 + 31\/(-72). Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100011011101 - -100?\nAnswer: -100011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:52 AM and 12:01 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 3*sqrt(1008) - (sqrt(63)\/sqrt(324))**2*3.\nAnswer: 17\/12 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 583.9 + -584.9. Let f be (-2)\/(-5) - 74\/10. What is the closest to -1\/2 in a, 3, 0.5, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23.3 + -27.3. Let k = -17 - -12. Which is the second biggest value? (a) k (b) 1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24 - -23. What is the biggest value in -22, 2\/13, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4069?\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 82861021.85 to the nearest ten thousand.\nAnswer: 82860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 304511?\nAnswer: 304511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 574, -2, 4, -418, 25.\nAnswer: -418, -2, 4, 25, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2552 or 2?\nAnswer: -2552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of -s**6\/6 + s**5 - 25*s**4\/12 + 5*s**3\/3 + 19*s. Let z(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*r - 3*r + 48 = 0. What is the hundreds digit of 2 - (201*r - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -5*b + 158. Give n(18).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-135)*(-5)\/(-32))\/((-63)\/(-28))\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17472 and 9216.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1394896*h**2 - 20962*h - 8.\nAnswer: -2789792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*m**5*q - 20460*m**3*q - 5668*m**2*q + m**2 wrt m?\nAnswer: -240*m**2*q - 122760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s - 16. What is m(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 2 = -27*l + 23*l, 4*l + 22 = -6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -41.4 + 41. Let z = 0.7 + -1. Let x = -433 + 430. What is the smallest value in -2\/3, z, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 96 - 95.43. Let v = -801.73 + 807. Let r = v - f. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -767*a + 2504 = 15*a - 4534 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 169 - -282. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 1)*(8*c**3 - 2*c**3 - 16*c - 3*c**3 - c**2).\nAnswer: -3*c**3 + c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1200 - 1002122?\nAnswer: -1011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-3\/8))**(17\/2)\/(z*z**0*z*z*z)**(6\/7) assuming z is positive.\nAnswer: z**(-741\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 2*b - 13. Let y be u(8). Suppose y*c + 2*r - 2288 = 0, c + r - 5*r = 744. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 56*y**2 - 8*y + 43. List the prime factors of d(3).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1993570 < 1993571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tzikzzteritrkrkkz. Give prob of picking 1 r, 2 k, and 1 z.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence siss when four letters picked without replacement from sssssizzlzisz?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 15112310 and 0.5.\nAnswer: 7556155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 24 = 5*u, -4*j + j = -u - 16. Find the third derivative of 13 - 22 + 3 + 13*x**2 + j*x**2 - 200*x**6 wrt x.\nAnswer: -24000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from whrqwrahrrahhhhwr. Give prob of sequence wqa.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 828 and 1104.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 2401 divided by 73\nAnswer: 2401\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 4*u + 0 - 3*u + u + u + (5 - 4 - 2)*(-2 + 2 - 2*u) - 24 + u + 24 + 0*u + 2*u - 3*u)*(-2*u + 3*u - 2*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + -2*sqrt(1088) + 5 + sqrt(1088)))*4)**2.\nAnswer: -1280*sqrt(17) + 17808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 5*k = -73, 2*k + 52 = 2*p + 4*k. List the prime factors of 3\/9 - p\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -28293*((-10 - 2)\/12 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 17017, 17015, 17009, 16999?\n\"Answer: -2*p**2 + 4*p + 17015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/26*4)\/(2648\/(-4303)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-20)\/((-1)\/1*1). Let f be 3 - (2 + -6 + -13). What is the greatest common factor of i and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13.573 + -13.5749943. Round u to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-1755)\/20)\/9)\/((3465\/40)\/(-21))?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 6 = 5*d + 17, 2*d = -2. What are the prime factors of -4 + c + 95 + 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36765 divided by -817.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llflgfljfllj. Give prob of sequence lf.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u - 2 + 2)*(-5 + 2 + 1)*(53*u - 105*u + 171 + 51*u) + 0*u**2 - 2*u**2 + u**2.\nAnswer: 3*u**2 - 684*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 6*y + 32. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6701*g + 6696*g - 10*a = -80, 2*g + 2*a - 12 = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 42 + -46.9. Let a = y - -5. Which is greater: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u**3 + 10*u**2 - 2*u + 7. Let i be g(5). Is 20 a factor of -9*20\/(-6) - (-9)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -2\/13, 1, -0.01, -2911\/6 in decreasing order.\nAnswer: 1, -0.01, -2\/13, -0.2, -2911\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = 0, 5*u + 110*d + 15 = 113*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(468) + 3 + sqrt(468) - sqrt(468))**2 + -4.\nAnswer: 36*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010011111010 (base 2) to base 13.\nAnswer: 25a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 28307 - -12946. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5\/26, -13, -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -5847431 - -5.\nAnswer: -5847426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7 - 320?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -874095 - 19?\nAnswer: -874103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**25*q*(q\/q**21*q)\/q*((q*q\/((q**(-2\/19)\/q*q)\/q))\/q)\/((((q*q**(21\/5))\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(561\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/5 - 19*j\/5 - 4.\nAnswer: (j - 20)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of w**4\/4 - 2*w + 1. Let s(b) be the first derivative of g(b). Let k(h) be the second derivative of h**3\/3 - h. Give k(s(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of 7*a**3\/2 + 59*a + 4. Let z(c) = -c + 3. Let j(x) = 4*x - 11. Let r(i) = -6*j(i) - 22*z(i). Calculate p(r(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 102921293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49, -92, -135?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -9016, -18106, -27210, -36334, -45484, -54666, -63886, -73150?\n\"Answer: -r**3 - r**2 - 9080*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -1 - (0 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -215.32?\nAnswer: 214.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*z**2 - 42*z + 4 + 42*z.\nAnswer: -8*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -8 + p + p + 8. Let o(a) = -6*a**2. Let m(d) = d**2. Let q(t) = -5*m(t) - o(t). Calculate c(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhv when three letters picked without replacement from zyvgzhhgm?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 2 + 2*z - 5*z**2 + 3*z + 4*z**2. What is the units digit of o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s. Let a(c) = 100265*c**2. What is a(r(j))?\nAnswer: 100265*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -631, 0, -4, -308.\nAnswer: -631, -308, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6676 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 391*u + 15792 = 370*u. Is -750 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 12 - 127*n - 12 in the form f*n + g and give f.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (54\/189)\/(((-1)\/(-8))\/((-9)\/(522\/203)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 - 17. Which is the third biggest value? (a) -2\/7 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the second derivative of 7*a**3\/6 - a**2\/2 - 15*a. Give i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 + 42. Let b(d) = -d**2 - d + 12. Let p be b(0). Let t = g + p. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -741832916*z**4 - 228403062*z**2?\nAnswer: -17803989984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 501095126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2936.54 kilometers to centimeters.\nAnswer: 293654000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 2*h + 0*h + (-3*h + 8*h - 3*h)*(1 - 6 + 0))*(2*h + h - 4*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -3756198*p. Let h(i) = -i**2. Determine b(h(o)).\nAnswer: 3756198*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9887625 divided by 219725.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, w: 2, a: 2, i: 4}. What is prob of sequence awii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*f + 7*f - 2*f)*(3*f + f - 28*f) - 2*f**2 + 0 + 0.\nAnswer: 94*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1185847, -4743414, -10672729, -18973822, -29646723, -42691462, -58108069?\n\"Answer: -5*m**3 - 1185844*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1099 = -102*g + 95*g. Let h = -154 + g. Put h, -8, -5 in descending order.\nAnswer: h, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 728.07 - 724. What is g rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10186152 divided by 3.\nAnswer: -3395384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (0 + sqrt(1700) + 3 + (sqrt(1700)*1 + sqrt(1700) - sqrt(153)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: 174*sqrt(17) + 14308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 - (20\/(-45))\/(-14 + 1004\/72).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d**5 + 8*d**4 - 5*d**3 - 188*d**2 - 496*d - 320 = 0. Calculate d.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*d + 5682 = 8994 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 12418779*f + 49675121. Calculate t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 1, q: 2, k: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-12)\/((-15)\/5) - 4. Suppose 2*q + 8 = f, 4*q - 20994 = -2*v + 3*q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 PM and 4:39 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 149601, 299205, 448809, 598413?\nAnswer: 748017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 3*u - 753, 29*u = 26*u + 4*v + 753. Let c be u\/805 - (-12)\/(-42). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 1:49 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 + 5*v**2 - 12*v - 20. Calculate the remainder when 42 is divided by o(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + -1. Let x = -2057\/780 + -29\/65. Let y = x + 11\/4. Sort -4\/3, u, y in increasing order.\nAnswer: u, -4\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 102376093 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 79 - 76. What is the closest to -0.2 in -1, h, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -15. Let n(c) = c**3 - 8*c**2 + 8*c - 62. Let d be n(8). Solve d*k = 5*k + 2*w - 3, -g*k + 4 = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + (9 - 13) + (3 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(-5*(sqrt(13) + sqrt(39)\/sqrt(3)) + -1 + sqrt(52)\/(sqrt(36)*-3) + 4))**2.\nAnswer: -728*sqrt(13)\/3 + 433528\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -709328 divided by -8?\nAnswer: 88666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*w = 95*w + 168*w + 1790 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1001 - 1130003?\nAnswer: -1131010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l. What is x(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the second derivative of 1\/60*t**5 + t + 0*t**3 + 0*t**2 + 0 + 0*t**4. Factor i(q).\nAnswer: q**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(5\/9)*k*k**(1\/10))\/(k**(-8)\/(k\/k**(1\/4))) assuming k is positive.\nAnswer: k**(1853\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.1 - -2.1. Let v = 10\/43 - 116\/129. What is the third biggest value in b, 0.09, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14850\/270*12\/66)\/(-2*(-1)\/(-10))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 9*s - 7. Let d = -34 + 28. Let q be g(d). Sort q, -2, 2 in ascending order.\nAnswer: -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -90606390, -181212779, -271819180, -362425599, -453032042, -543638515?\nAnswer: -634245024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 1 + 4 = 3*z, 0 = 2*v - 4. Suppose r + 0*r + 4*k = 3, -3*k = -z*r + 54. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*-5.7\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k + 25 = -895. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1508\/5 + -302. Which is the closest to t? (a) 0.07 (b) 1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + f**3 - 6*f - 288*f**2 - f**4 + 288*f**2 as u*f**3 + q*f**2 + j*f + b + n*f**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -580\/7 greater than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (4*z + 0*z - 3*z + (3*z + 0*z - 4*z)*(1 - 3 + 1) - z - 1 + 2*z + 4)*(4*z - 18*z - 3*z)*(1 + 0 + 4) as k*z**2 + a*z + p and give a.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 80 - 63. Solve -4*a + h - 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -49*u - 247. Let j be o(-6). Calculate the highest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*h + 1197 = 30*h - 141*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 166 - 159. Let k(r) = 2*r**3 - 7*r**2 - 2*r - 3. Is k(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, k: 2, s: 2, b: 3, d: 2, j: 2}. Give prob of picking 1 m and 1 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11090 is divided by 2771.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h. Let k(j) be the second derivative of 5*j**3\/6 + 77*j. Give k(c(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 934.7538 nanometers in millimeters?\nAnswer: 0.0009347538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73748 = 10*y + 4168. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 65.2 and -81?\nAnswer: -5281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gffggnf. Give prob of sequence gfgg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be 25\/1 - (16 - 11). Suppose -4*h + f = 0, 0 = 2*v - 3*h - 2 + 13. What is the second derivative of 53*r**v - 53*r**2 - 7*r**5 + 16*r - 26*r**5 wrt r?\nAnswer: -660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 182669 and 7548.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22, 19, 8, -17, -62, -133, -236, -377?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-12))**(-50)\/(q**(-4)\/q**(-2\/25)) assuming q is positive.\nAnswer: q**(15098\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -319.7 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 1, -4.6, -0.2?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 258 + -263. Let s be (6\/90*-5)\/((-2)\/(-18)). Put -0.02, d, s, -4 in descending order.\nAnswer: -0.02, s, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -57 + 70. Let z(m) = m**2 - 13*m + 11. Let x be z(q). Round x to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -97.54584 to 1 decimal place.\nAnswer: -97.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16 + -28. Let k be ((-16)\/h - 2)*-66. Suppose -2*j + 0*j + k = 0. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -2221212001 (base 3) in base 6?\nAnswer: -1125301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -634764.62 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -18*m + 525. Let p be v(34). Let t(g) = g**3 + 6*g**2 - g - 7. Let r be t(-6). Let a = r - p. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the third derivative of -q**6\/60 - q**5\/5 - q**4\/8 - 8*q**3\/3 + 707*q**2. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 + -21. Let r(y) be the first derivative of -2*y**2 - 6*y - 43. Let q(a) = -3*a - 5. Let i(d) = 7*q(d) - 6*r(d). What is i(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 117051 (d) -4\/7 (e) 33 (f) 0 (g) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32312 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -66 - -60. Let d = -22 - -8. Let p = b - d. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*o - 50*o - 310 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11903282, 11903283, 11903284, 11903285?\nAnswer: 11903286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 72 - 503\/7. Suppose 0 = -r - 3*z + 7, -3*r = -0*r - 5*z - 7. Let n = 3.5 + -0.5. What is the biggest value in -2\/15, h, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3289*n - 3291*n + 4*v = 110, -101 = 5*n - 4*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 371, 1083, 2255, 3881, 5955, 8471, 11423?\n\"Answer: -l**3 + 236*l**2 + 11*l + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 585721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 72751 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1171947*0.07.\nAnswer: -82036.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4364 is divided by 161?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 450 = -5*u + 150*f, 4*u + 6*u - 20*u + 7*u = -f + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1864749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 + 57*g - 142. Let o be n(-52). Is o bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 + 6*o**2 + 3*o - 4. Let m be s(6). Let x be (-38*(60\/32 - 2))\/(608\/17024). Calculate the highest common factor of x and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -95 in 0.1, 212, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 141 + -141. Sort -7, w, -2\/5, -4\/5 in decreasing order.\nAnswer: w, -2\/5, -4\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05 minus -37615?\nAnswer: 37615.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9929, -9925, -9921, -9917, -9913?\nAnswer: -9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3061466.\nAnswer: 2, 163, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -1041*s - 25. Let d be n(-17). Let z = -25062 + d. Round z to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 2*i - 24 + 17 = -6*i - 25, -3*i = m + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 + 6 + -9 + 15 + -5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 399 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 3*i = -2392 + 2219, -2*c = 5*i - 92. Solve -c*m = 40 + 53 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) -1.1 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18.9 + 1.9. Let p = l - -16.9916. Round p to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 50678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 23 and 7647822.\nAnswer: 7647822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 45*t**2 - 5*t - 1. Let d(o) = 1. Let a(h) = 2*d(h) + g(h). Let b be a(1). Calculate the highest common divisor of b and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 21*w + 5. Let d be (-2)\/(-8) - (75\/(-4) + 7). Let q(p) = -21*p - d*p - 9*p + 10*p - 8. Determine -8*m(z) - 5*q(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kncclkccn. Give prob of picking 1 c, 1 n, and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 11:57 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 169? (a) -2\/5 (b) 0 (c) 4584 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1258379 and -3?\nAnswer: -3775137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -1931 > -2091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 3 + 196*a**2 - 199*a**2 to z*a + k*a**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Which is the nearest to -2\/17? (a) -1.1 (b) -8\/7 (c) 1 (d) -0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j**5 - 3469790*j**4 - 601635468485*j**3 + 116815240901880*j**2 - 5667123018211920*j = 0. What is j?\nAnswer: -347076, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-145 - 33 - 22)*(3 - 3 - 3)*(8*j + 7*j - 16*j).\nAnswer: -600*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + 0 + (-13)\/(13\/(-6)). Solve b*s - 7 - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 12, 4, -8 in decreasing order.\nAnswer: 12, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -311955*c. Let m(y) = y**2 - 9*y. Determine m(g(p)).\nAnswer: 97315922025*p**2 + 2807595*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dddr when four letters picked without replacement from rddrrtdrdd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/72 and -85\/708?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (h + 0 + 0)*(-2*h**2 - 3*h**2 + 4*h**2) + 2*h**3 + 3*h**2 - 3*h**2 - 2*h + 3*h**3 + 2*h**3 - 4*h**3.\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -4, -2, 5 in decreasing order.\nAnswer: 5, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = -68*j + 63*j + 14, 0 = 4*p - j - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*y**3 + 2997*y**2 + 13*y**3 - 4*y**3 + y**3 - 1.\nAnswer: 5*y**3 + 2997*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -94199, -94170, -94135, -94094, -94047, -93994?\nAnswer: -93935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 + -82\/5. Which is the smallest value? (a) p (b) 0 (c) 1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h = -160 - 246. Let b = h - -145. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1044.2 + 1044. What is the closest to -5 in -0.045, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2b (base 13) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 395 - 789\/2. What is the closest to q in -2\/3, -13, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 5545 by -5.\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 967135 is divided by 483489.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 5*r**3 + 4240*r**2 + 4225*r - 8470 = 0.\nAnswer: -847, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -4*d**5 + 1390916*d**4\/5 - 24181561344*d**3\/5 - 53210618272*d**2\/5 + 77380773952*d\/5 + 174129274944\/5 = 0. Calculate d.\nAnswer: -2, 9\/5, 34774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes after 2:16 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1347 or -1417?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1703026 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -3*y + 0 + 1 + 6 - 2 in the form s + p*y and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -407137, -407132, -407127?\n\"Answer: 5*o - 407142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -192455 - 101457 = 3383*n + 45929 + 22140 for n.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2. Let q(w) = 4*w**2 + 68*w. Calculate p(q(l)).\nAnswer: 16*l**4 + 544*l**3 + 4624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4167368.\nAnswer: 2, 520921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3290 and 56.\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*g**3 + 3*g**5 - 5*g**3 - g**2 - g**5 + g**2 + (-2*g**3 + 0*g**3 + g**3)*(2*g**2 - 2*g**2 - 2*g**2) + 19*g**2 - 11*g**5 - 19*g**2.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18.6 + 19. Let g = -0.3 - -0.8. Let p = -1 + g. Put 0, m, p in decreasing order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -306429\/20 + 15317. Find the common denominator of 83\/2 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/17, 1.7, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2*y - 54 = 6*y, x - 24 = -2*y. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**2 - 510*v + 3132 = 0. Calculate v.\nAnswer: -261, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -27055*h**2 + 12*h - 1228?\nAnswer: -54110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 - 61*a. Let q(w) = 11*w**2. What is h(q(z))?\nAnswer: 121*z**4 - 671*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49802.\nAnswer: 2, 37, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 63593938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - 5*u - 2*u)*(-2*u**2 - u**2 - u**2).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - q + 1. Let x(k) = -k**2 + 11*k + 13. Let a(r) = 2*n(r) - x(r). Give a(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - n + 4*n)*(0*n - n - 2*n) + 5*n**2 - 3*n**2 - 3*n**2 + (n - 5*n + 3*n)*(0*n + 0*n - 2*n) + 0*n**2 - 5*n**2 + 3*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -11\/264738?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jvusuvcjwsuuccjs. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -7 (b) -0.7 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(3\/(-24)*-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 296037 and 35742.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61325497*i**4 - 5*i**2 + 2496*i - 211869 wrt i.\nAnswer: 735905964*i**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000013873644 to seven dps.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sssssee. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*d**2 - 10*d**3 - 11*d**2 + d**2 - d + d**2 - d**3 to v + t*d + y*d**3 + u*d**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (272 + 223 + 131)*(-1 + o + 1).\nAnswer: 626*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v - 2*v + v + (5 - 2 - 1)*(0*v + 3*v - v) - 2*v - v + 6*v)*(-3 + 2 - 2).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12204 and 249579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 132 a factor of 42759288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -3059*h**3 + 3058*h**3 - 19*h**2 + 9*h + 2 + 9*h**2 + 6*h**2. Let j = 9 - 15. Calculate the lowest common multiple of 20 and s(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h = -2*w + 2, -12 = -199*w + 195*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -3*d + 6. Let c be j(6). What are the prime factors of (-231)\/c + (-4)\/16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 740 - 50 = 0. Calculate the greatest common factor of 1106 and k.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*n + 19*n. Solve n = -2*t - 0 + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-60)\/(-27) - 14\/63. Solve t*j = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 153\/330 + ((-27)\/(-72))\/(45\/(-12)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**1\/(v*v**(-13))*v*v**(-2\/5)\/v*v*v*v\/(v*v**(-1\/11))*v)**(-30) assuming v is positive.\nAnswer: v**(-5178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.05, -2\/5 in decreasing order.\nAnswer: 0.05, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 - -15. Find the second derivative of -12*b - a*b + b + b**2 + 5*b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 5*x**2 - 50*x - 55 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -5*b + 18, -b - 9 = -3*j + 7*j. Let r = 14.05 + -14. Sort r, j, -0.7 in descending order.\nAnswer: r, -0.7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wu when two letters picked without replacement from {w: 3, u: 8, x: 1, g: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Is -31 != -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 + 5*y**2 - 6*y. Let o be t(-6). Suppose -b = -o*b, 136 = 4*u + 2*b. Calculate the remainder when 131 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + -16144?\nAnswer: -16146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76 and 4541?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 56033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*u = -179 + 104 - 1023. Put 2, -1, -4, -7, u in decreasing order.\nAnswer: 2, -1, -4, -7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-78)\/(-208))\/((-15)\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -2*x - 3*x. Let j be -2 - x - 0\/1. Suppose 0 = w - 2*h - 30, h + j*h - 10 = 0. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 12, -22, -1 in increasing order.\nAnswer: -22, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -2\/11 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2034 - 2033.73. What is the third biggest value in 3\/10, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15407852 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -62*j**2 + 4*j - 4. Let b = -121 - -125. Let z(h) = 125*h**2 - 7*h + 7. Let q(s) = b*z(s) + 7*x(s). Let i(g) = -g**2. Determine q(i(k)).\nAnswer: 66*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggjggggjgggj. What is prob of sequence gj?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 29*k - 100. Let c be (-81)\/(-27) + (6 - -1). Does 19 divide h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, 0, -6, -5, -8 in increasing order.\nAnswer: -8, -6, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*u**2 - 3*u**2 + 0*u**2 - 3*u**2 + 4*u**2 + 0*u**2 + (3 - 3 - 2*u)*(30*u - 39*u + 20*u) + 2*u - 2*u**2 - 2*u.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w - 5. Let f = -10 + 15. Let x(z) = -z - 2. Let u(t) = f*x(t) - 2*l(t). Let b(o) be the second derivative of -o**4\/12 - o. What is u(b(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 812*u**2 - 4. Let r(w) = 12991*w**2 - 66. Determine -2*r(l) + 33*v(l).\nAnswer: 814*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.21 - -0.07. Let n = -632.671 - -633. Let v = s - n. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g + g - 2*g)*(-4*g**2 + 4*g**2 - g**4) + 0*g - 2*g**5 - 8*g + 3*g**5.\nAnswer: 3*g**5 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -355790*z - 3 + 355790*z + 33 - z**2. Let s(v) = -58*v. Give f(s(o)).\nAnswer: -3364*o**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15191815*t**2 + 7807388 with respect to t.\nAnswer: -30383630*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 520257 = 163*s - 162*s, -s = 3*f - 780398. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (-2*sqrt(1539) - sqrt(1539)))**2.\nAnswer: -162*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - -2. Let f be (13 - 19)\/(-18)*-6. What is the nearest to 2 in 0.2, v, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqvpqbx. What is prob of sequence px?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30450 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 197 - 195. Suppose z + 2*z = 6. Solve -k = 2*u - 5, -a = -z*u + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.11 + 4.89. Let d = -44 - -44.3. Let w(n) = n**3 - 8*n - 4. Let z be w(3). Which is the nearest to z? (a) f (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 284727100 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -3546*w**2. Let y(f) = -43*f**2. Determine h(y(s)).\nAnswer: -6556554*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 39523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 12:18 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 283.2853 - -1.1947. Let r = u - 288. Round r to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 108\/7*o + 4\/7*o**3 + 108\/7 + 36\/7*o**2.\nAnswer: 4*(o + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**3 - v + v)*(21*v + 15*v - 13*v + (3 - 7 + 2)*(v - 5*v + 2*v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 - 12. Let w be 11\/18*(2 + x). Let f = -7\/9 + w. Is -2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r**2\/3 + 337820*r - 42795882150 = 0.\nAnswer: 253365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -428*y**3*z**5 - y**3*z**2 - 161*z**2 wrt z?\nAnswer: -25680*y**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 94 = -5*d + 71, 2*o + 2*d - 298 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 - 9*k**2 - 9*k - 16. Determine d(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -4. Suppose 3*h - x*t - 30 = 0, 3*h = -0*h + 5*t + 26. Calculate the remainder when 34 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from llllvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6423159\/13196 - -3\/6598. Let m = c + 483. Do m and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -106, -325, -894, -1981, -3754, -6381, -10030?\n\"Answer: -28*f**3 - 7*f**2 - 2*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(36)\/(sqrt(60)\/sqrt(5)) - ((sqrt(3) + 0 - sqrt(3)) + 5)) + (-5 + -1 + sqrt(108) + sqrt(108) - sqrt(108) - sqrt(108))))**2 + 3.\nAnswer: -22*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 2*l, 5*l + 63 = -5*a + 58 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -11*d**2. Let k(i) = -25*i + 2*i + 25*i + 20*i. What is k(b(v))?\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -m - 6 - 2 + 3 = 0, 0 = -140*b + 132*b + 39*m - 43*m + 44 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 2 z when four letters picked without replacement from {z: 8, y: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/(w*w**(-17)\/w)*w\/w**14*(w*w\/w**(-2\/3)*w*w)**(2\/37) assuming w is positive.\nAnswer: w**(583\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -13413, -13495, -13647, -13875, -14185, -14583?\n\"Answer: -u**3 - 29*u**2 + 12*u - 13395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 887511 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-10)*-3)\/((-11)\/(-77)*(-3)\/(-30))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -5*y + 4*y - 2*y + 12 + 2*y. Let p be t(9). What is the remainder when 35 is divided by (-8)\/(-12) + 37\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) 7 (c) -2.67 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2718446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -442172*o**2 + 147391*o**2 + 147392*o**2 + 147388*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21 and 8720103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - ((36 - 47) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.39 and -1551?\nAnswer: 604.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 253 greater than 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 533 + -532. Let k = 10.2 + -14. Let w = k - 1.2. What is the closest to n in 2, -2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c - 2*c - c)*(608 + 880 + 2452).\nAnswer: -11820*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - (8 - (-13 - -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 26228 and 6557?\nAnswer: 26228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -7468*u = 11445*u - 1418475 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 107, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3865068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*(-12)\/(-18)*4*(-5)\/760*-1.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyynyyyn. Give prob of sequence yyyn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 - y**2 + y + 12. Let k be p(0). Let t = 5 - 3. Suppose 3*g = -0*g - 2*b - t, g + 10 = -3*b. Solve -g*j = j - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r**2. Let q(k) = -12*k. Determine q(t(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10955?\nAnswer: 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the second derivative of -3*l**3\/2 + l**2\/2 - 24*l. Suppose 0 = -r - r + 2. Calculate d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 take away -1656?\nAnswer: 1655.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 279324 by 46554.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -7\/2, -0.2, 517?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k. Let b(g) = 1111*g**2 - 13*g - 26. Let n(p) = -556*p**2 + 6*p + 12. Let v(m) = -6*b(m) - 13*n(m). Determine c(v(l)).\nAnswer: -1124*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 11*a**2 + 3*a + 6. Let r(p) = -p - 2. Let x(g) = -n(g) - 3*r(g). Let u(h) = -6*h. What is x(u(v))?\nAnswer: -396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add 184564956.38 and -15.\nAnswer: 184564941.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve h = -5*y + y + 5, 3*h - 4*y + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*c + 4*m, 2*c = 3*c - 5*m - 10. Suppose -5*i + c + 5 = 0. Suppose -5*a = 5 + 5. Sort a, i, 9 in descending order.\nAnswer: 9, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 11:37 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3400 - 1904. Calculate the greatest common divisor of i and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1010 - 1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 205 divided by 4?\nAnswer: 205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 - 14. Suppose -m - 100 = k*m. Is (-1885)\/m + (-2)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1853 - -1855. What is the smallest value in -0.36, o, 4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 548*-1\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*f, -5*r - 42 = -f - 101. Suppose -2*z = -r*z - 45. Let v be (-2)\/z + 20\/(-50). Solve -g - 3*i = -17, 5*i - 10 = 2*g - v*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - a. Let q be a + 0 + -1 - 51. Let y = -31 - q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -5, -1 in ascending order.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.12 - -0.12. Suppose 0*o - 6*o + 60 = 0. Suppose 4*z - o = 12*s - 7*s, -z + 7 = s. What is the biggest value in s, u, -0.4, -0.17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6*2\/(-96) - 350\/16. Is x <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 80897166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 2 = 0, 5*g + u - 3562 = 4*u. Calculate the greatest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.6 and -2.482?\nAnswer: 1.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**4 - 14*a**3 + 1104*a**2 - 10880*a + 31744.\nAnswer: -2*(a - 8)**3*(a + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d - 5*z, 3*z - 6*z = -4*d - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 21*z**3 + 2*z**2 - 1. Suppose 6 = t - 4*t, -2*t - 4 = i. Suppose 4*y = -i + 4. Calculate the remainder when m(y) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1509073 and 187.\nAnswer: 16599803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-80)\/15)\/(280\/(-84)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in -111, -9, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 329276553 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6891775 divided by -275.\nAnswer: 25061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4391*h**2*l**3*q**2 + 2*h**2*l**3 + 560*h**2*l**2*q - 360*h**2*l*q**2 + 2*h*l**3*q + 2*h*q - 44*l - 1 wrt q.\nAnswer: 8782*h**2*l**3 - 720*h**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n**3 - 7*n**2 + 15*n - 37. Let i be q(-9). Let a(c) = -c**2 - 12*c - 17. Calculate the smallest common multiple of a(i) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5526267*r*w**3 - r + 22942033*w**3 wrt r?\nAnswer: -5526267*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 56 (base 15) in base 5?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -3*sqrt(768)*-4)**2 + -2.\nAnswer: -1152*sqrt(3) + 110599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 20944 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(1\/18)\/(a\/(a\/(a*a**2)*a)) assuming a is positive.\nAnswer: a**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, 8.2, -0.3, 3\/7, -2, 0.26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (-2 - 7) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.68 (b) 2\/17 (c) 2 (d) 7 (e) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -701*j - 2467*j - 2527*j + 5691*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -44321133 (base 6) to base 9.\nAnswer: -2450833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d - 4*d - 3*d**4 + 5*d**4 - 11*d**4 - 14*d**4 + (10*d**3 - 3*d**2 + 3*d**2)*(d - 2*d + 0*d) to p + u*d**3 + b*d**2 + h*d + i*d**4 and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(1\/4)\/s*s*s*s**0)\/((((s**(-1)*s*s)\/s)\/s*s*s)\/(s\/s**(2\/9)))*(s**1)**(4\/27)\/(s**(1\/3)\/s)**(-2\/43) assuming s is positive.\nAnswer: s**(9961\/4644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**(-35)*o**(2\/19)*o*o\/(o*o*o*o**(-20)*o)*o*o\/(o**(-6)*o) assuming o is positive.\nAnswer: o**(-169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes after 5:59 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1\/59 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -166 - -289. Let z = l + -125. What is the nearest to 2\/3 in z, 4\/9, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 2*t - 8. Let r be s(6). Let x(c) = -1 + c + 4*c - 3. Let g(b) = b**3 - 4*b**2 - 2*b + 2. Let p be g(-2). Let q(y) = y - 1. Give p*q(w) + r*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -2721 by -670.\nAnswer: 2721\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 210.44 - 215. Let j = -1033.44 + q. Let o = 1037.999999433 + j. Round o to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.6 * 2.16\nAnswer: 1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1210719 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38162100 divided by -636035.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -3052*j - 8546. What is q(-3)?\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 89127 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8\/3? (a) 29\/3 (b) -6 (c) 1\/15 (d) -1\/5 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 PM and 6:40 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 52 + -53.98. Let w = s - -9.98. Which is the third smallest value? (a) -2 (b) w (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1365603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 202 and 155338?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + sqrt(76) + -3*(2*sqrt(76) + sqrt(76)) + (sqrt(76) - -1*sqrt(76))*1)\/(sqrt(16)\/sqrt(16)*-3).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the first derivative of -9\/2*r**2 - 5*r - 3. Does 20 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 94a (base 12) to base 7.\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**3 - 2*p**3 - p**3)*(-2*p + 3 - 3 + (0 + 28 - 3)*(2*p - 4*p + 3*p)).\nAnswer: -69*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, -4, -72 in decreasing order.\nAnswer: 2, 0, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -426\/271 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.5, -26\/9, 1\/897, -40?\nAnswer: 1\/897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -44 (b) -47\/8 (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 83, 1, 2\/11, 1\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 0 - (11 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (((sqrt(208)*-1 + 5)*1 - -2*(2*sqrt(208) + -2))*3)**2.\nAnswer: 216*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of -2\/9*x**4 - 3 + 0*x**2 - 4\/9*x**3 - 1\/30*x**5 + 4*x. Factor f(j).\nAnswer: -2*j*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r - 9. Determine v(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -75746, -75742, -75728, -75698, -75646, -75566?\n\"Answer: l**3 - l**2 - 75746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 2*q**2 + 5461*q + 2920742. Give n(-730).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**2 + n**2 - n**2)*(-29*n - 12*n + 4*n + (1 + 0 + 0)*(0*n - 2*n + 0*n))*(n - 4*n + 5*n)*(7 - 4 + 0).\nAnswer: -936*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4495635225 to the power of 1\/3, to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, a: 5}. What is prob of picking 3 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the first derivative of -2*g**5\/95 - 21*g**4\/38 - 158*g**3\/57 + 21*g**2\/19 + 160*g\/19 - 783. Let w(b) = 0. What is b?\nAnswer: -16, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 98872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + 2)\/(10 - (5 + 130\/20)). Let l = -19 + 19.09. Let a = 1 - 1. What is the biggest value in l, a, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-117*-5*(-60)\/(-225))\/(6\/(-3))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/5 + 8*x\/5 + 7\/5.\nAnswer: (x + 1)*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 207\/(-1725)*7*(-120)\/(-504)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -2.9. Let f = 1444268\/195 - 22228\/3. Let h = f + 42\/13. Which is the closest to g? (a) 1\/4 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 39 + -30. What is the least common multiple of 109 and p?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.9 + 0.9. Sort 0.2, 0.4, l in descending order.\nAnswer: 0.4, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173.4316404 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2. Suppose 0 = -4*i + 13 - 5. Let g(f) = -13*f + 13*f + 9*f**i. What is g(x(h))?\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -6.300109952 - 18654.\nAnswer: -18660.300109952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 + 7*c**2 - 8*c + 1. Let r be h(-6). Let q = r - 49. Let a = q - 25. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-16)*-2*(-476)\/595\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70021 is divided by 1006.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-432 - 432 + 865 + 118*n)*(3 - 3 + 4*n)*(-5*n - 2 + 4*n + 0)*(-2 + 0 + 1) in the form y + z*n**3 + w*n**2 + x*n and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (61 - 25 + 12)*(-2*f + f + 0*f).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*f - 6*f + 0*f - 37 - 193 - 55.\nAnswer: 4*f - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**3 + 103*t**2 - 61*t - 384. Determine x(-52).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6 + -1)\/(2\/4). Let u(f) = f**3 + 17*f**2 + 15*f + 1. Is u(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 90.45695 millennia?\nAnswer: 90456.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*j**3 - 8*j**3 + j**3)*(4*j + 0*j - 2*j - j - 2*j + 2*j + (4*j - 2*j - 4*j)*(3 - 1 + 0)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18018)\/(-429)*(128\/(-320))\/((-4)\/10).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43*y**2 + 0*y**2 - 22*y**2 + 40*y - 8*y - 11*y - 4*y**2.\nAnswer: -69*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(17) + 2 + sqrt(272) + sqrt(17)).\nAnswer: -24*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.3413491 from -3.7.\nAnswer: -3.3586509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 126 - 119. Let o(j) = -j**2 + 9*j + 5. Give o(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 37769327 to the nearest 100000.\nAnswer: 37800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3890443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-2\/13)*v**(2\/7)*(v**(-2\/5))**(-48))\/(v*v**4\/v*v\/v**(3\/2))**(1\/27) assuming v is positive.\nAnswer: v**(503929\/24570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2 + 13400*h.\nAnswer: -2*h*(h - 6700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 2*w**3 + 21*w**2 - 10*w + 7. Let g be f(-11). Let m = 0.96 - -0.04. Which is greater: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -41, -45, -51, -59, -69, -81?\n\"Answer: -y**2 - y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3305 + -3129. What is the highest common divisor of c and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 2*t = 0. Suppose t = -2*p + 6 - 4. Let y = 118 + -114. Which is the second smallest value? (a) 2 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -33*u - 43, 0 = -7*g - 2150 + 2220 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -770, -6438, -22010, -52502, -102930, -178310, -283658?\nAnswer: -423990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45764.\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 543216237?\nAnswer: 3, 181072079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 802 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 26\/10 - 5\/((-175)\/(-21)). Solve 3*l - 25 = -2*i, -o*i + 2*l - 30 = -6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*(-13)\/(-2))\/((-64)\/1856*-29)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/6 - 5*d**3 + 32*d**2\/3.\nAnswer: -d**2*(d - 2)*(d + 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62 - (5 + -33 + (0 - -17) - -2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 104 and 364?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.79 - 2.29. Let c = -11 - -19. What is the nearest to -1 in j, -0.06, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 160293 and 61047?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Is 256 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 9042*z + 578691. Determine y(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:01 PM and 9:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 16.4, -1\/948, -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 196 = 4*i - 5*d, -2*i - 3*d = -69 - 7. Calculate the remainder when 155 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 + 15*v + 11. Determine q(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -105 - -95 - (-11 - -19)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1658713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 563 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -344 or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2362483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/27 (c) 3\/7 (d) -172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z**2 + 2 + z + 6 - 4*z + 7*z = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 865 is divided by 424.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -2877*c + 3724*c + 16 - 15 - 2*c + 3*c - 2*c + (2 - 2*c - 2)*(1 + 3 - 5) + 2*c - c - 3*c.\nAnswer: 846*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -2\/7473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*c**3 - 2*c**3 - 6*c**3 + 0*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -138673*0.2\nAnswer: -27734.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 - f**2 - 1. Let a(x) = 2*x**3 - 5*x**2 + 5*x. Let q(t) = a(t) - 3*u(t). Let c be q(-3). Let w = c - -8. Solve -w*y = -2*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -1946.9?\nAnswer: -194.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vkkm when four letters picked without replacement from {v: 2, n: 1, k: 2, m: 4}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.3 - 0.8. Let l = -0.7 - k. Let r = 0.3 - l. Sort r, 2\/5, 3 in descending order.\nAnswer: 3, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1559713152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h - 8. Let v be q(8). Let x be 35*(v + 6\/15). Calculate the highest common divisor of x and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -3888*t - 62228. What is v(-16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 28*r**3 + r**2 - 117*r + 116. Let k be b(1). Solve 3*o + 13 = -2*c, 5*o + k = -11*c + 14*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g + 34*g**3 - 9*g**2 - 32*g**3 + g**2)*(2*g**2 + g**2 - 2*g**2).\nAnswer: 2*g**5 - 8*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/13? (a) 2 (b) -1\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10119.759 - -10029.7. Round o to the nearest integer.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -113569 + -0.92.\nAnswer: -113569.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 7 (b) 4 (c) -0.3 (d) 11 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -833*0.89\nAnswer: -741.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 642384 bigger than 8350974\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -5*x**3 - x**2 + 5*x + 6. Let o be m(-1). Factor o*a**2 - 615*a + 287*a + 223*a + 100.\nAnswer: 5*(a - 20)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-319)\/99 - (-6)\/27. Put -2, 5, 4, g in decreasing order.\nAnswer: 5, 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 + 1607*f - 257. Give z(0).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of 4421*u**3\/3 - 607*u + 3090. Find the first derivative of h(q) wrt q.\nAnswer: 8842*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from ooxooox.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 4:34 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 12 - 2. Let u be (-1044)\/(-45)*m\/4. Suppose 3*y = j - 16, -u = -3*j - 3*y + 2*y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h - 6*h - h - 3. Let v(y) be the second derivative of -11*y**3\/6 - 3*y**2 + 4*y + 14. Calculate -7*d(p) + 4*v(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 13 = -4*k, -7 = -3*f - 0*k + k. Let z = -3 - f. Let q(j) be the first derivative of -5*j**2\/2 - 3*j - 138002. Determine q(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8339036\/616 + 2\/(-11). Let s = u + -13529. What is the common denominator of -101\/12 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(5\/4)\/(w*w\/(w**(-1)*w))*(w\/(w*w\/((w*w**3*w*w)\/w))*w)\/(w\/((w*w**(5\/4)*w)\/w)))**(8\/17) assuming w is positive.\nAnswer: w**(44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 9 = 0, 3*n = -0*n + 2*o - 63. Let s = 35 + n. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*u - 14*u + 51 = 0. Let q be 0\/(-5)*(-2)\/2. Solve -3 = -3*c - 5*o, q*o + u = c + 5*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 131303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11*b**3*d*u + 21*b**3*d - 13*b**3*u + 2*b**2*u - b*d + 69*d*u - 2*d wrt b.\nAnswer: -66*d*u + 126*d - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - (6 - (-13 + 13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1082510261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 565167 - 315467. What is d rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kweskkgkggkbewkke. What is prob of picking 1 w, 2 e, and 1 g?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * -9769.\nAnswer: -2930.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 548 + -294. Let q(g) = -401*g**3 + g**2 + 7*g + 6. Let h be q(-1). Suppose -5*t = -u - h. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/(432\/(-84)))\/(1\/9)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from krkrrrrkrkr. What is prob of picking 1 r and 3 k?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.1 + 305468847679\nAnswer: 305468847679.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2025*r**4 - 524070*r**3 - 104868*r**2 - 34962*r\/5 - 777\/5 = 0.\nAnswer: -1\/15, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -876015 - 0.05815?\nAnswer: -876015.05815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2225*w - 2417*w = -1728 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**4 + m**3 - m**3)*(790*m + 442*m + 241*m) + (m + 0*m - 2*m)*(-2*m**3 + m**4 + 2*m**3).\nAnswer: -4420*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -298517 divided by 8.\nAnswer: -298517\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 4, 2, -10 in decreasing order.\nAnswer: 6, 4, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 + 180866424?\nAnswer: 180866423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/1214839 (b) -0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 425.1873 kilograms in micrograms?\nAnswer: 425187300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from rkdttkrtttttdjdd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c + 6. Let i = -29 + 23. Let l be b(i). Let s be 11300001 + (3 - l) + -4. What is s rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5 - ((-4)\/4 + 2). Suppose 0*a - 5*a + 88 = -l*c, 42 = 2*a - 5*c. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**3 + 2*o**2 + 2*o - 13*o**3 + 1 + 11*o**3 - 31*o**2 to the form l*o**2 + n*o + y + c*o**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 402 + -402. Let g(x) be the first derivative of 5\/3*x**3 - 15\/2*x**2 + w*x + 9. Factor g(k).\nAnswer: 5*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 455*q**2 - 454*q**2 + 64*q**3 + 14 + 0 + 55*q**3 + 18*q**3 to i*q**3 + u*q**2 + d*q + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 0*s - 12 = 2*l, -4*l + 5*s + 41 = 0. Suppose -4*f = -2*m - 0*m + 2, 4*m - l = -3*f. Suppose i - 4 - 185 = f. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 352*(-2)\/(-4)*2. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1302 and 381 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -651.8 + 649.9. What is the third biggest value in v, -4, 37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -76 and 115.15402402.\nAnswer: 39.15402402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1131023401 (base 5) to base 14\nAnswer: -4b7c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:02 AM and 5:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 7. Suppose -3*j = 6, -5*z = -5*j + 15 - 40. Suppose 5 = -5*o - z*l + 28, 5*l = 2*o - 3. Solve -r*a - o = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2878*h**3 - 271*h**2 + 9937862 with respect to h.\nAnswer: 8634*h**2 - 542*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16385 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b**(4\/3))*b*b**(-2\/13))\/(b**(-2\/7)*b*b)**(-30) assuming b is positive.\nAnswer: b**(13907\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*v - 3*d - 14, 4*v = -2*d + d - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1749989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 356 - 207. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 24\/121 and -45\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(1152)*-1)\/(((sqrt(108) + sqrt(108)*-2)*-5)\/sqrt(12)) + -2)**2 + -4.\nAnswer: 128\/25 + 32*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 2*i - 135 = 0. Let g = i - -48. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4950 - -6293. Is o equal to 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 5, -16, 18628 in ascending order.\nAnswer: -17, -16, 5, 18628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:22 AM and 4:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(2) + sqrt(2) + sqrt(200))*1 - -6*sqrt(384)\/sqrt(12)) + 4)*1)**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2077 - -2093. Suppose -3*q + 5 = 2. Solve -q + i = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 877818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 7 = v, 27*v = r + 30*v + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 + -3 - -3 - (-73 + 0). Let p = y + -52. Let h be -3 + (-8)\/p - 6\/(-15). Put -0.1, 3, h in increasing order.\nAnswer: h, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1822, 3569, 5324, 7093, 8882, 10697?\nAnswer: 12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 - 1)*(-95)\/(-38). Let c = 1 - 3. Let o = n - c. Calculate the highest common factor of 63 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11081504?\nAnswer: 2, 7, 61, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 478*m**3 - 980*m**3 + 467*m**3 + 4 to s + j*m**2 + b*m**3 + v*m and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -31321124 (base 5) to base 2\nAnswer: -111111101010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7.300186l in millilitres?\nAnswer: 7300.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2457*l*n*o**2 + l*n*o - 3771*l*n - 3*l - 216*n - 614*o**2 + 111*o wrt l.\nAnswer: 2457*n*o**2 + n*o - 3771*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -90, 73874 in ascending order.\nAnswer: -90, 7, 73874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/140, 4, 2 in decreasing order.\nAnswer: 4, 2, -1\/140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(96) - (sqrt(144) - (-1*sqrt(144) - sqrt(144)))\/sqrt(6))\/((sqrt(800) + -2*sqrt(800))*-2 + sqrt(800) + sqrt(800)).\nAnswer: 3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 + (-504)\/132)*-33. Let l be (110\/4)\/(3\/6). Let c be 0 - 0 - l\/(-2). Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -10 (b) 2 (c) -25 (d) 12983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {v: 1, f: 9, x: 1, z: 3}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the first derivative of a**6\/360 - a**5\/30 - a**4\/4 + 8*a**3\/3 + 3. Let o(v) be the third derivative of c(v). What is the tens digit of o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/6)\/((-2)\/12). Suppose 1 + b = 3*a. Put 2, a, 5 in descending order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/15846 and 26\/22324373.\nAnswer: 133946238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/17 and -18\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -4680 divided by -936?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e - -1?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from ykkkkykkkkk.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 9*u**2 + 62*u - 3416. List the prime factors of d(42).\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*p**2 + 731*p - 162.\nAnswer: -(p - 81)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/16 + 34\/8 + -4. Suppose v = -28*z + 27*z + 16477. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32136224.\nAnswer: 2, 509, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18.55 + 18.6. Sort 1, 0.3, -5, t in descending order.\nAnswer: 1, 0.3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20412 and 147?\nAnswer: 142884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -3. Suppose 2*h + 2*z = -h + 7, -u = z. Put h, -6, 0 in decreasing order.\nAnswer: h, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**3 + 16*m**2 - m - 17. Let b be i(-16). Does 8 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3709, -3696, -3677, -3652, -3621, -3584, -3541?\n\"Answer: 3*x**2 + 4*x - 3716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k - 27366. Let m(a) = 3*a**2 + 17*a. Give m(j(v)).\nAnswer: 3*v**2 - 164179*v + 2246228646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxsbihx. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(5\/6)\/(g\/(g*g**12)) assuming g is positive.\nAnswer: g**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes before 5:44 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (60\/(-405))\/(-3*4\/18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/31517 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 13 + 7. Suppose -x + v = 1. Suppose 5*o - k - 15 = 0, o + 21 = 4*o - x*k. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.944834 weeks to nanoseconds.\nAnswer: 571435603200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*o**3 + 278*o**2 - 1 - 585*o**2 + 307*o**2.\nAnswer: -19*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + 715?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 0 - 12\/5*t**4 - 3\/5*t**5 - 9\/5*t**3 + 0*t**2 + 0*t = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**2 - 10690*i - 138632 = 0.\nAnswer: -5332, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 89 + -92 + 157 + -213?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 61 - 58. Is (-1)\/(l\/(-1917)) - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 11, e: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*a = 5*l - 37*a - 22, -2*a = 3*l + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -2*c + 3. Let b be (-5)\/2*(-12)\/(-10). Let k(x) = -x + 2. Let h(t) = b*k(t) + 2*r(t). Let n(w) = 2*w. Calculate 5*h(p) + 3*n(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 106 and 2014.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*f*t**3 - f*t + 401*t**4 - 14*t + 72 wrt t.\nAnswer: 12*f*t + 4812*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 563 (base 15) to base 4.\nAnswer: 103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -8 and -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -6, -25238, -4.\nAnswer: -25238, -6, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (66\/484)\/((-44)\/352)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/9*(-138)\/(-8). Let p = k + -62\/15. Is 0 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -13909909 - 636\nAnswer: -13910545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 + 59*o**2 + 76*o - 380. Does 7 divide a(-53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 244.4 - 244. What is the smallest value in s, 1, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1107623313 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: Solve d = 4*x + 31, -3*d + 572*x + 103 = 570*x for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 46*z - 34*z + 17*z in the form y*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1727302.2 months in years?\nAnswer: 143941.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/k**21)\/k*k**(2\/3))\/(k*k**7)**(1\/4))**(2\/65) assuming k is positive.\nAnswer: k**(-134\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04469 minus 0.5?\nAnswer: -0.54469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of -51*d**5\/20 - 2*d**4 + d - 31. Find the third derivative of n(v) wrt v.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 + 1. Let d(r) = -4*r**2 - 12*r + 13. Let v(h) = d(h) - 5*w(h). Let l be v(10). Let c be 2\/3 - 76\/6. Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -2. Let z be 4\/(-3)*3\/(-26). Let a = 4.1 + 0.9. What is the nearest to -0.1 in z, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12222606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 5 + 2. Let d(i) = -12*i - 1. Let n be d(h). Suppose -n = -r - 5. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(864)*-2)\/(sqrt(240)\/sqrt(5)) + 2 + (3 + 5*sqrt(72))**2.\nAnswer: 174*sqrt(2) + 1811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 645a - -2368?\nAnswer: 8806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 7785*o. Let p(d) = 4*d. Calculate h(p(y)).\nAnswer: 31140*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together 18 and 123502140828.\nAnswer: 123502140846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 11) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1263633 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m + 5. Let n be g(-5). Let d = 135 - n. Let f(r) = r**3 - 6*r**2 - r - 27. Let u be f(7). What is the greatest common factor of u and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 101293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 7.33105 and 8211?\nAnswer: 8203.66895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.3+-13.99097975\nAnswer: -13.69097975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 154 divided by -22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1255, -1127, -999, -871?\n\"Answer: 128*r - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (680*r - 680*r - 1 + 12*r**2)*(-4863 + 2*r**2 + r**2 + 4858 + (-r - r + 0*r)*(5*r - 5*r - r)).\nAnswer: 60*r**4 - 65*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is the product of -9452 and -306?\nAnswer: 2892312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 + 8*q. Let s(b) = b**2 - 10*b. Let p be (-3 - 5) + (-2 - (-5 - 1)). Let r(k) = p*s(k) - 5*t(k). Let u(o) = 34*o**2. What is r(u(j))?\nAnswer: 1156*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(4\/3)\/((n*n*n**8)\/n))**(2\/17))**(-34))**(-5\/6) assuming n is positive.\nAnswer: n**(-230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -65226675.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 4 - 16 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (4*x + x - 3*x)*(-132 + 39 - 110) in the form g*x + j and give g.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -7*p**2 + 4*p - 3. Let g(n) = 8*n**2 - 5*n + 4. Suppose -43*l + 46*l = o - 3, -6*o + 5*l = -31. Give o*f(r) + 5*g(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 305? (a) 15 (b) 1\/6 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1509 and 40?\nAnswer: 60360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -41*h**3 - 2*h**2 + h**5 + 45*h**3 - 2 + 0*h**4 - 5*h + 4*h**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of 3*v**5\/10 + 3*v**4\/2 + 3*v**3\/2 - 3*v**2 - 6*v + 2. Factor r(a).\nAnswer: 3*(a - 1)*(a + 1)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -117\/275960 and 43\/664.\nAnswer: 22904680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1494*o**2 - o**4 + 183*o**3 + o**4 + 290*o**6 - 371*o**3 + 186*o**3 wrt o.\nAnswer: 34800*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 241?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 25717777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 30.091545 * -0.3\nAnswer: -9.0274635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -5*o + 8. Let r be m(2). Let g(d) = -4*d + 4*d + 0 - d + 4 - d**3. Let s be g(0). Sort r, s, -5.\nAnswer: -5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 4 + 6 = 0. Let s be (16\/(-24))\/(0 - a\/63). What is the first derivative of -q**2 - 6*q**2 - 3 + 8 - s*q**2 wrt q?\nAnswer: -56*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.92 times -6.5\nAnswer: 25.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 5173a3 (base 13) to base 5\nAnswer: 441313140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 42\/7*((-2262)\/(-548535))\/(3\/5)?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3684*k + 1672*k + 3194*k.\nAnswer: 1182*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -3, -602 in descending order.\nAnswer: 16, -3, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10.72 + -0.28. Let c = -6 - x. What is the closest to 0 in c, -0.04, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.39379 nanometers?\nAnswer: 0.00039379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((y - y + 2*y**2)*(-y**2 - 2*y**2 + 2*y**2) - 3*y**4 - 3*y**4 + 3*y**4)*(-117 + 71 - 234 + (-2 - 1 + 5)*(-4 + 1 + 1) + 2 - 4 + 1).\nAnswer: 1425*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1647, -3174, -4667, -6126, -7551?\nAnswer: -8942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 180 divide 1853007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -167055*d - 9 + 83511*d + 83538*d.\nAnswer: -6*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*i + j + 8 = 14*i, -3*i + 3*j = -18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3*u + 880. Let i(n) = -13. Determine 3*i(m) - x(m).\nAnswer: -3*m - 919","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -13*d**2 - 3972*d - 27175. Give t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*g**5 - 4*g**5 + g**5 + (-1 - 2 + 6)*(1 - 1 - 2*g)*(-g**4 - 2*g**4 + 2*g**4).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = -15 + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 4*u**4\/3 + 84104*u**3\/3 + 196476288*u**2 + 1376709293944*u\/3 - 1377298806916\/3 = 0.\nAnswer: -7009, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 291 + -294. Let f be (-4)\/(-35) - 2\/5. Which is the nearest to -0.1? (a) k (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**5*z)**(-6\/25)\/(z**(-2\/9)*z*z**(-9)\/z))**(10\/3) assuming z is positive.\nAnswer: z**(3502\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 - 4*b + 2. Let d be z(-3). Is 167\/((1\/d)\/(2\/10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5885.\nAnswer: 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*c - 1196440 + 143*c - 1258923 - 74*c.\nAnswer: c - 2455363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*l - 7 = -t - 48*l, -3*t - 1 = -5*l - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 0.39 (c) -4\/7 (d) 1671 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*g + 4*y, -4*g + 4*y + 0 = -16. Let p be 4\/(-2) + 4 + 0. Suppose -5*o + p*f + 186 = g, -5*f = 2*o - 3*f - 80. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d - 3*d - 3*d)*(-364 - 80 - 65) as l*d + r and give l.\nAnswer: 3054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 + 9*q. Let c(z) = -180*z + 3. Calculate h(c(l)).\nAnswer: 32400*l**2 - 2700*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide (4\/5)\/(14\/560)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-3)*(-2 - 13). Suppose -k*j = -j - 156. Calculate the remainder when j is divided by 108\/(-27) - -1*18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 16 + (0 + 0)*(-4 - -5). Let v be (u\/64)\/(9\/(-24)*2). Put -1\/6, v, -4, 0 in decreasing order.\nAnswer: 0, -1\/6, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 182.4 times -3.09\nAnswer: -563.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 36.4 + -36. What is the closest to 3 in -1, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 3*m + 8. Let o be 18\/(-12) - (-2)\/m. Let a = -4 + o. Let q(l) = l**3 + 1. Let t(w) = 5*w**3 + 4. Calculate a*q(x) + t(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.1, -1599, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -307 + 303. Which is the closest to -3? (a) f (b) -0.1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84391?\nAnswer: 84391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.01404 and 3885411734?\nAnswer: 3885411733.98596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i**2 - 13 - 44*i**3 - 1174*i**4 + 44*i**3 + 589*i**4 + 582*i**4 to the form h*i**3 + w*i**4 + k*i + r + y*i**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -3*l**2. Let p(o) = 11*o. Let g be -1*10\/(-2)*(1 + 10). Let t(b) = -198*b. Let u(i) = g*p(i) + 3*t(i). Determine u(d(z)).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(6*-2*sqrt(1573) + sqrt(1573) + 2 + (-1 + sqrt(1573) - sqrt(1573)) - ((sqrt(1573) - (sqrt(1573) + -1)) + -3 + -1)))**2.\nAnswer: -968*sqrt(13) + 190349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 851263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -207, -203, 5, 4, 3, -3, -634.\nAnswer: -634, -207, -203, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2178 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8616081725 to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (2 + (12 - 7)) - -31?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -9. Let g = -54 + 56. Let d = -184 + 1284\/7. Which is the smallest value? (a) g (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bybbaaymbm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5 = 5. Let f be 200\/55 + d + -2. Factor -f - 12\/11*h - 2\/11*h**2.\nAnswer: -2*(h + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*a - 57 = 6*a - 267. Solve -a*v - 96 = -156 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 294386 = 33*q + 28*q. Is (q\/(1\/(-1)))\/(-178 + 176) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l*m**2*u*y - 4*l*m**2 + 6*l*m*u**3 - 2*m**2*u**3 - 5*u**3*y - 17*u**2*y + 2*u**2 wrt u?\nAnswer: 36*l*m - 12*m**2 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9400884 divided by -6.\nAnswer: 1566814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 1. What is the third biggest value in 3\/4, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 240 and 330.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*(z*z**4)\/z*z*z**(2\/9) assuming z is positive.\nAnswer: z**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (3 - 9 - -17) + -8 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 26211, -2\/7, 1\/2, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 139896388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1565, -8658, -21263, -39380, -63009, -92150, -126803?\n\"Answer: -2756*x**2 + 1175*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 - -49. Suppose 0*s + 8*s = b. Solve -4*z + 2*z + 6 = -4*l, -s*z = 5*l + 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 350 and 62650.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19593.\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 104, 85, 68, 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l + 126. Suppose 0*n = -5*n + 55. Calculate the remainder when o(-106) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -0.543.\nAnswer: -2.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**4*t**(-6\/7)*t**(-2\/9)\/((t\/t**(-1\/3))\/t) assuming t is positive.\nAnswer: t**(163\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 135 divided by -27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -12*w**3 - 4705*w**2 - 1562*w - 458635. What is n(-392)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (-5 - (2 - 3) - (-63 + 63))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, q: 1, r: 1, x: 1, p: 2, f: 2}. What is prob of sequence xppr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand y - y + y + (-2*y + 6 - 4*y + 7*y)*(4 + 4 + 3).\nAnswer: 12*y + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 8 = -7*z - 3*h, 0 = -5*z - 5*h. Is z\/(-12) - (-82)\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -813 - -4?\nAnswer: -80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36539*z - 36255*z + 73372*z + 1.\nAnswer: 578*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 65190 and 14310.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23272, 46542, 69814, 93088, 116364, 139642, 162922?\nAnswer: 186204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 9:03 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*w**2 + 12 + 16 + 9 - 2*w**2 - 36.\nAnswer: 9*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.155145, -2, 0.11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -110 + 265. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the third derivative of -q**5\/60 - q**4\/6 - q**3\/3 - q**2. Let a(v) = -v + 5. Let s be a(7). List the prime factors of y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xit when three letters picked without replacement from tciooxh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 3*r - 7. Let v be w(4). Suppose 3*p - 5 = v*c + 4*p, -3*c - 10 = 2*p. Find q, given that c*q + 0 - 2\/3*q**3 + 2\/3*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1512196 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -297868*z**2 + 3*z + 224225 wrt z?\nAnswer: -595736*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/(-3) + 2 - (-5 + 5). Suppose -4*z - 59 = -5*r, 36 = 4*r + z - 28. Solve 0 = -h*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -r**3 + 4*r**2 + 378587*r + 10347588.\nAnswer: -3*r**2 + 8*r + 378587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1001011001010010000101 (base 2) to base 10\nAnswer: -2462853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -4899, -47, 4, -4 in decreasing order.\nAnswer: 4, -4, -47, -4899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 160, 86, -106, -476, -1084?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-4)*u*u**(-2)\/u)**(3\/8) assuming u is positive.\nAnswer: u**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15313 is divided by 15304.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/8 + 7\/4. Suppose -16 = -3*i - s*j, i + 4*j - j - 17 = 0. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -428.55 - -428.56. What is the biggest value in -0.1, -5, u, -3, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 7:01 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*l = -7 + 70. Let u = 0.7 - 0.2. Which is the second smallest value? (a) u (b) l (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 4.94. Let w = -3.06 + u. Let s = 0 + 0.5. What is the third smallest value in w, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from hxhhxh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {q: 2, w: 2, j: 4, i: 1, e: 2, y: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1929 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 3*(-5 + sqrt(192) + (sqrt(192) - (sqrt(192) + 0)))**2.\nAnswer: -240*sqrt(3) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 228 is divided by 109?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 20083 or -2?\nAnswer: 20083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -280*o + 277*o + 186. Calculate the lowest common multiple of o and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 914836 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 4, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:20 PM and 3:07 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6264 (base 13) in base 6?\nAnswer: 142550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.03 + 1.97. Let p = u - 1.9. Let v = 0.17 - -0.13. Which is the closest to p? (a) 5 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**(-36)*d**15 assuming d is positive.\nAnswer: d**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 172*q - 9 + 6.\nAnswer: -172*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3261 divided by 95105\nAnswer: -3261\/95105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + y**2. Let m(k) = -6*k**3 + 5*k**2 + k + 1. Let s(r) = -m(r) + 4*q(r). What is the units digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -276101171614\/500967831 + -2\/166989277. Let m = q + 7140\/13. Calculate the common denominator of -70\/3 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -559, -558, -557, -556, -555?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 495 and 4680.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(180) - sqrt(180))\/sqrt(10))\/(sqrt(294)*2).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.11 + 0.01. Let q be (0 - -11) + 1 + -2. Suppose -4*k - q = -2*j - 0, 5 = 2*k + j. What is the closest to k in -1\/4, 4\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16129619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48800 in -2, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3 + 8 - 0) + -7. Which is smaller: -0.135 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2188765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**3 + 12 - 25*m - 8*m**2 - 9 + 46*m - 32*m to s*m**2 + g*m**3 + q*m + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 11 = -2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 122 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-272)\/(-48))\/((-34)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -79309499*x**2. Let y(a) = -3*a**2. What is y(u(i))?\nAnswer: -18869989894893003*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(3*20\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*o + 7*o + 41*o + 41*o to the form l*o + c and give l.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 600365, 600308, 600251, 600194, 600137?\n\"Answer: -57*x + 600422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 717263 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3609443 or -3609441?\nAnswer: -3609443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 16*((-21)\/(-6))\/7. Let q be (a\/6)\/(2\/93). Suppose 5*h - q + 12 = 0. 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: Suppose -539 + 284 = -5*f. Suppose 3*o - 15 = -c, -2*c - o = 46 - f. Solve -3*j - 4*q + 19 = 2*j, 3*j + 2*q - 11 = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3241 + 212?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 0.01 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -144 - -147.08. Let y = 0.08 - s. Let q = -3.00000001 - y. Round q to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1077.5 + -1075. Which is bigger: -0.048 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 199966614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*o + 12*o - 4*o = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**3 - 4*o**2 - 8*o - 2. What is the remainder when 57 is divided by l(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5351890 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x**3 - 2090*x**2 - 3985*x + 72800 = 0.\nAnswer: -416, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i - 18 = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/(-4))\/(1\/(-196)). Let w be (-54 + -149 - (-1 + 4))\/(1\/1). Let f = j - w. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 2 + f**3 - 3*f**2 - 3*f + 3*f. Suppose -v - 4*i - 11 = 0, v + 9 = -0*i - 3*i. Let w be y(v). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -47215560 divided by 6?\nAnswer: -7869260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 17\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-32)\/(-3) - (-8)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -320*k + 148*k = -90*k + 2296 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 540104 and 4163?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 + 5. Let g be 6\/(4 + 2\/(-1)). Let w(l) = -1 - 11*l**2 + 15*l - 8*l + g*l**2 + 2. Let r(a) = 7*a**2 - 6*a - 1. Calculate f*w(t) - 7*r(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of 2*t**5 - 17*t**4\/2 + 14*t**3 - 11*t**2 + 4*t + 13. Factor q(w).\nAnswer: 2*(w - 1)**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58 divided by -1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyzzzoooyoyoozz. What is prob of sequence ozzy?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2769154 to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**2 + 10*d - 15. Let a be k(8). Let t = a + 35. What are the prime factors of (32\/(-12))\/((-8)\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -30.78571498 to 1 dp.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {p: 7, b: 5, o: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of h**5\/20 - h**4\/3 + 7*h**3\/6 + 7*h**2. Let b be a(5). Suppose 3*y + g = b, -3*y + 15 = -g - 27. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 25*p - 15*p + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 241353 (base 10) to base 12\nAnswer: b7809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 10*m**2 + m + 7. Let z be i(-10). Let q = 2 + z. Find the common denominator of q\/2 + 155\/380 and 38\/11.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-12)\/((21\/2)\/(-7)). Calculate the greatest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 AM and 4:26 PM?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Solve 117*b - 5009 = -2201 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1219, 2195, 2937, 3445?\n\"Answer: -117*x**2 + 1327*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000042853851 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of 7*q**6\/4 - 297*q**5\/5 + 1071*q**4\/4 + 4904*q**3 + 46053*q**2\/4 - 7803*q + 7230. What is d in z(d) = 0?\nAnswer: -3, 2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*5\/(-10)*-12. Let z(w) = -4*w + 1. Let o(q) = -q**2 + 24*q + 5. Let c(v) = s*z(v) + 3*o(v). Factor c(t).\nAnswer: -3*(t - 9)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n - 7. Let t be c(3). Put t, -5, 0 in increasing order.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.627 and 485.\nAnswer: -1274.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the second derivative of -7*x**3\/2 + 30*x. Let p(i) = 3*i. Give h(p(v)).\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 AM and 11:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 5*z**2 - 13*z - 12. Give a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1004*k**3 + 3213*k**3 - 1001*k**3 - 1211*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 29397470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10120 (base 3) in base 15?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/764 and -71\/14898?\nAnswer: 29796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 320, 11, 2\/7 in increasing order.\nAnswer: 0, 2\/7, 11, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1.3189, -3, 2\/13, 0, 3\/2 in descending order.\nAnswer: 3\/2, 1.3189, 2\/13, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15810238*i**4 + 14038*i + 39.\nAnswer: -189722856*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 197*f - 198*f + 251 = 5*d, -1255 = -5*f + d. What is the remainder when f is divided by 95?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/2145*-22*(-490)\/(-112).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3830986\/8712209 + -4\/25549. Let f = h - -8\/31. Put -0.4, f, 0.5 in descending order.\nAnswer: 0.5, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + h**3 - 8*h + 8*h + 20*h**2 - 32*h**2 to w*h + z + s*h**2 + u*h**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n. Let j(i) = i + 1461780. Determine j(z(d)).\nAnswer: 3*d + 1461780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of -j**4\/12 + 23*j**3\/3 - 9*j**2\/2 - 12*j - 49. Let p(g) be the second derivative of m(g). What is p(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-2 - (0 + -2) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*t**3 - 115*t**2 + 130*t + 40 = 0 for t.\nAnswer: -1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26866761.\nAnswer: 3, 8955587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -3*k**3 + 64*k**2 + 111*k + 176. Calculate b(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the first derivative of 3*s**2 - 108. Let t(k) = 55*k - 38*k - 13*k - 27*k. Give l(t(i)).\nAnswer: -138*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 12, g: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (150\/40)\/(((-2)\/8)\/(-1)). Suppose -6*c - 3 = -t. Suppose 2*z - 4*z + c = 3*a, 5*z = -4*a + 5. Solve 4*n + 3*i = -14, a = 4*n + 2*i + 7 + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(200)\/sqrt(4))\/sqrt(10) - (-4*sqrt(25)\/sqrt(5))**2.\nAnswer: -80 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20071468 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d + 2 - 4 + 2.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (5\/40*-18 - -3)*4. Let z(q) be the third derivative of q**5\/30 - 5*q**4\/24 + q**3\/6 + 10*q**2. Calculate the least common multiple of 14 and z(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)\/(sqrt(8) - (sqrt(8) - sqrt(288))) + (-3*sqrt(11)*1)**2)*3*-1.\nAnswer: -297 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -59+-3746269327\nAnswer: -3746269386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 2*s = 2, 0 = n - s + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wsfddgfdfs. What is prob of sequence sg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*r - 17*r - 108 = 0. Suppose -2*k - 9 = -k - 2*q, -3*q + 10 = 2*k. Which is the second smallest value? (a) 2\/15 (b) -3 (c) k (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9815 is divided by 112.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4968468)\/68133 + (102\/26 - 4).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 34 - 111. Let k = -0.07379401 - 76.92514599. Let v = j - k. What is v rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 PM and 6:55 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/217 and -17\/723814.\nAnswer: 22438234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 13 = 2*c, 0 = 3*n - c + 10477 - 10448 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1494, -8769, -25234, -54441, -99942?\nAnswer: -165289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bogopgxgoxgogoggob. What is prob of picking 1 x and 1 g?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -33*d**2 - 3*d - 2. Suppose -4*w = -k - 16, -227*k + 226*k + 19 = 3*w. Let p(h) = -32*h**2 - 2*h - 2. What is w*p(v) - 4*r(v)?\nAnswer: -28*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 8:01 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25028153 rounded to the nearest one hundred thousand?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -c**3*r - 86*c**3 - 366*c**2*r**2 - c**2 + 5*c wrt r.\nAnswer: -c**3 - 732*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27 - 24.96. Let y = k + -0.04. Let f = 339.737 - 338.937. Which is the second biggest value? (a) f (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 164681.\nAnswer: 11, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0373784623 rounded to 5 dps?\nAnswer: -0.03738","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2 + 6*c. Let q be p(5). Suppose -t - 1 = 2*b - q, 4*t = b + 25. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5425.45344439 - 6?\nAnswer: -5431.45344439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 7*t**2 + 16 - 4*t**2 + 13*t - t**3 + 4*t - 6*t**2. Calculate the remainder when 22 is divided by d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-1)\/(-2))\/(1\/2). Let t = 10 + -7. Let d = v - t. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 28 = -n, -4*n - 233649*p + 233654*p + 38 = 0. Factor 30\/19*k + 68\/19 - 2\/19*k**n.\nAnswer: -2*(k - 17)*(k + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 - 27. Let a = b - -14. What is the second derivative of -g**3 + 0*g**a + 6*g + g**3 - g**4 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12017, 23991, 35961, 47927?\nAnswer: 59889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from puupuppoupoupuopp. What is prob of sequence oupo?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*j - 14*j = 83780. Does 71 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 4*w + v - 7 = 0, -4*v = 4. Let u be (-680)\/6 - w\/(-6). Find the common denominator of -39\/22 and ((-2)\/20)\/((-2)\/u).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*(3*k**4 - 3*k**4 + k**5) + 2*k**5 + 2 - k + k - 3*k**5 - k**5 + 3*k**5 + (-k + k**2 + k)*(21*k**3 - 40*k**3 + 24*k**3).\nAnswer: 7*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -1389052, 4.\nAnswer: -1389052, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(16)\/(sqrt(40)\/(3*sqrt(5))) + (sqrt(50) - sqrt(200)) + 2*sqrt(50).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o**3 + 2*o**2 - 2*o + 3. Suppose u - 4*u = 6. Let f be 4\/8*(u - -12). Let y(v) = v**3 + 2*v**2 - v + 4. Let g(w) = f*y(w) - 6*r(w). Factor g(h).\nAnswer: -(h - 1)*(h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 17637368, 17637372, 17637376, 17637380?\n\"Answer: 4*o + 17637364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**(-2\/5)*d*d\/(d*d*d**(-2\/9)*d*d))\/((d*(d*d\/(d\/d**(19\/5)))\/d)\/(((d\/(d*d**(-6)))\/d)\/d)) assuming d is positive.\nAnswer: d**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**0*b)**7)**31 assuming b is positive.\nAnswer: b**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2*(sqrt(1377) + -1) + (sqrt(136) + (sqrt(136) - ((sqrt(136) - (sqrt(136) - sqrt(136)*-2))*-3 - sqrt(136))))\/(sqrt(800)*-1 - sqrt(800)).\nAnswer: -357*sqrt(17)\/20 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/(-1))\/((-6)\/39). Let f = -9 + i. What is the tens digit of 102\/10 + ((-95)\/(-25) - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1958*y**2 - 991*y**2 - 983*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8980235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5.399 - 5.169. What is the closest to -19 in 1, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1a (base 14) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 22183 - 22150 = -33*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1352202, 5408829, 12169892, 21635391, 33805326, 48679697, 66258504?\n\"Answer: 1352218*i**2 - 27*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -1399*d**3 + 3*d**2 - 310*d - 5. Let t(u) = -4188*u**3 + 8*u**2 - 930*u - 14. Let g(s) = -8*m(s) + 3*t(s). Find the second derivative of g(l) wrt l.\nAnswer: -8232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11674 - 68*g - 2915 - 2916 - 2916 - 2929.\nAnswer: -68*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 33\/5 of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 - 15*p + 8. Let w(j) = 2*j**2 + 15*j - 7. Let t(i) = 3*w(i) + 4*z(i). Let b be t(7). Solve -16 + b = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -782, -808, -838, -872, -910?\n\"Answer: -2*u**2 - 20*u - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 45 = 4*d - 3*d, -3*d + 87 = -8*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 64*o**2 + 25*o + 209. List the prime factors of z(-8).\nAnswer: 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p + 12. Let h be d(-10). Let n(v) = v - 1. Let g be n(3). Solve -h*j = -g, -2*w - j = -3*j - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 700 is divided by 74?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from {e: 2, w: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -68, -123, -176, -227, -276?\n\"Answer: s**2 - 58*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + b**2 + b + 1. Let q = -1 + 0. Let c be j(q). What is the derivative of a - 2 + c + 0 wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*a = 381 + 39. Let h(c) = 11*c**3 + 7*c**2 + 14*c. Let z(i) = -6*i**3 - 4*i**2 - 7*i. Calculate a*z(u) - 4*h(u).\nAnswer: -2*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5158, -0.4, -1\/4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence skkk when four letters picked without replacement from kkkkskkkkkkskkkkssks.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.26? (a) -1\/6 (b) 18.8 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 194 a factor of 32450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 83 + -58. Calculate the remainder when 124 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1547 + -1548. Let k be 4\/(-10)*5\/(-4). What is the closest to k in 1\/4, -0.6, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 13*j - 470. Determine o(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(1\/2)*t)**16*t**(-4\/21)*t**34 assuming t is positive.\nAnswer: t**(1550\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1404 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2.1 (c) 27 (d) -2\/13 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -7264800 rounded to the nearest 10000?\nAnswer: -7260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -34? (a) -2 (b) 5\/16 (c) -84 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 22905940691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26, -36, -58, -98, -162, -256, -386?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1 - 0.4. Suppose -5*u = 3*y + 24, y - 28 = 5*u + 2*y. Let d be (u\/20)\/((-66)\/(-55)). Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 23 in -1.7, 2\/15, -7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -475 + 580. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 2*a = -66, -216 = -5*f + 2*a - 44. Calculate the lowest common multiple of 10 and f.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -2. Let m = 6 - 6. Suppose -3*l - 2*x = -m*x + 13, 3*x + 16 = -l. Which is the closest to w? (a) l (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -1 + 74 + -78\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5355656 and 3576?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = -2*c - 36, -31*z = -2*c - 35*z for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 6*n**2 - 12*n + n**3 - 15*n**2 + 12 - 12*n + 2*n**2. What are the prime factors of g(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3055*a**4 - 3210*a**2?\nAnswer: -73320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*f - 11 + 9 + 4 - 2.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 82\/3299993 or 0?\nAnswer: 82\/3299993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 3 + 2 - 1142*l**3 + 1135*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/9)\/(1920\/(-5184))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 53328279911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 38 + (0 - (-4 - -2) - (6 - -7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -2*m**2\/7 + 6252*m\/7 - 6250\/7 = 0.\nAnswer: 1, 3125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360*k - 181*k - 187*k**3 - 179*k.\nAnswer: -187*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand v**4 + v**3 - v**3 + (15*v**2 - 5*v + 5*v)*(0*v**2 - 4*v**2 + 3*v**2) - 3*v**3 + 3*v**3 - v**4.\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r**3 + 5*r**2 - 10*r**3 - 5*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -150.4 - -172. Let l = o - 21.60087. What is l rounded to 5 dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -1 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002319598 rounded to six decimal places?\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -562 - -567. Let b(h) be the third derivative of 0*h + h**2 + 0 + 1\/300*h**x - 1\/30*h**3 + 0*h**4. Find m such that b(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (4*(-2 + sqrt(1216) + sqrt(1216) + 4) - (3*(-1 + sqrt(1216)) - sqrt(1216) - 3*1*sqrt(1216)))**2 + -3.\nAnswer: 1584*sqrt(19) + 98619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -5 - f + 2 + 4. Suppose -2*r = 5*s, 0 = r - 2*r + 4*s. Suppose 4*d - 12 + r = 0. Give l(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 4 - 2. Suppose 25*a - 27 = -102. Sort a, r, 9, -5 in ascending order.\nAnswer: -5, a, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27393*s - 288 = 27345*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2074, 3195, 4322, 5449, 6570, 7679, 8770, 9837?\nAnswer: 10874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.0412 + -0.2332. Let c = z + 4.192. Put c, -3, -2\/33 in descending order.\nAnswer: c, -2\/33, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95748 is divided by 31903.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-431457)\/(-5106))\/(52\/40).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -888154 divided by 458\nAnswer: -444077\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**3 + 14*u**2 + 20*u - 33. Calculate h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 3b46 (base 13) to base 3\nAnswer: 102200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109 = -3*m - 79. Suppose 10*t - m - 20 = 0. Suppose -2*g - 8 = 5*h, 2*h = -7*g + 4*g - 12. Solve -c - t = -h*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-2\/33))**24*(p**(-2\/55)*p)\/p*p**(9\/10)\/p assuming p is positive.\nAnswer: p**(493\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 104 and 81307.\nAnswer: 8455928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g + 9. Suppose 2*l - 37 = 3*z, 3*l - 3*z + 2*z = 59. Let t = -23 + l. Let q(m) = -2*m - 4. Let x(n) = t*h(n) - 7*q(n). What is x(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-48 - (-50 + 19) - -74) + (-4 - (0 - -2))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2\/8 + 11145*a\/4 + 22293\/8.\nAnswer: -3*(a - 7431)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(1715)\/sqrt(5).\nAnswer: -5 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -24*h**3 - 10*h**2 - 6*h - 2. Let t(k) = 25*k**3 + 12*k**2 + 7*k + 2. What is 6*j(z) + 5*t(z)?\nAnswer: -19*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4944899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k\/(k**0*k)*k\/(k*k**(-18\/5)) assuming k is positive.\nAnswer: k**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12026254609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -50175*a**3*y**3 + a**2*y**2 + 23*a*y**3 - 74*y**2 wrt a?\nAnswer: -301050*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -72\/7412755 and 4\/835.\nAnswer: 1237930085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqi when three letters picked without replacement from {i: 4, q: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39372115?\nAnswer: 5, 7874423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2928 is divided by 633?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -25\/1774 - -44139\/173852. Find the common denominator of -73\/84 and l.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.97 + 4.2. Let l = o - 0.23028. Round l to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*a**2 + 1629939*a - 65170976?\nAnswer: 10*a + 1629939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 9340577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 50 = -5*k. Suppose -3*x + 2*x + 8 = 0. Let s(y) = 7*y - 2. Let f be s(2). Solve z + x + k = -5*d, 5*d + f = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 11:44 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1870.8 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 76 + -88. Let f be b*(4\/(-18))\/(8\/(-18)). Is (-3 + 2934)*(-4)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-146)\/(-108))\/((-2)\/6) and -33\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 478*j - 1322. Determine u(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -9863870*b - 6223222?\nAnswer: -9863870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6108531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 1362a70 (base 13) to base 12.\nAnswer: 2070785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/667)\/(454\/10442)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**4 - 3357*h**3 + 888030*h**2.\nAnswer: 3*h**2*(h - 690)*(h - 429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -0.31 (c) -4 (d) -15.9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, g: 1, y: 6, s: 5}. Give prob of sequence yyps.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2926 - -3199. What is the lowest common multiple of 1677 and f?\nAnswer: 11739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of r**9\/3024 + r**6\/240 + r**4\/2 + 5*r. Let q(n) be the third derivative of s(n). Find the second derivative of q(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3\/11 + 2*v**2\/11.\nAnswer: 2*v**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.01 - 0.01. Let j = -1.65 + -0.35. Let o = -192.7 - -193.1. Put o, j, -3, v in increasing order.\nAnswer: -3, j, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i = 11*i - 20. Solve j + 4 = -i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -24, 0.9, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*d - 1\/3*d**2 + 99.\nAnswer: -(d - 3)*(d + 99)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3 from 4015736076952.\nAnswer: 4015736076949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1011 + -101022122221?\nAnswer: -101022121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 895960244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -894, 2, 4, -5 in descending order.\nAnswer: 4, 2, -5, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*t - 6115 + 1633 = 0. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 378728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.24, 7, 2, -2\/33.\nAnswer: -2\/33, 0.24, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 2*f**4 - 4*f**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -385\/111 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 5*f + 1531 = 0, -s + 1515 = 2*s - 3*f. What is the highest common divisor of s and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the third derivative of -7*v**6\/40 - 9*v**5\/20 + 3*v**4\/2 + 2*v**3 + 54*v**2. Factor p(z).\nAnswer: -3*(z - 1)*(z + 2)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 69842 and 369890?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9296.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, n: 2}. What is prob of picking 2 n and 2 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -108 + 187. Suppose 24 = z*w - 71*w. Solve o = -w*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes before 7:16 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6573 - 14493. What is the lowest common multiple of (28\/(-3))\/2*t\/231 and 18\/((2\/(-1))\/(-2))?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -4, 0, 2 in descending order.\nAnswer: 2, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 AM and 11:09 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 309610 is divided by 882.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the first derivative of z**4\/4 - 8*z**3\/3 + z**2 - 4*z - 1. Let k be a(8). Suppose 0 = 4*m - k, 6*f + 3*m - 21 = 2*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 295840\/13 or 22758?\nAnswer: 295840\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2423 is divided by 602?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 827467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2.103851 - -24.604071. Let i = -22.5 + a. What is i rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -g - 10, 0 = 4*g + g. Let y = -68 - -73. Suppose -j - 318 = -4*j + y*p, t*j = 4*p + 517. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 303000140 (base 5) in base 4?\nAnswer: 10221203223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8814.204l in millilitres?\nAnswer: 8814204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3373.259 + -3564.2499. Let i = 291 + -100. Let y = g + i. What is y rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 272, 31 in descending order.\nAnswer: 272, 31, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3567.852s?\nAnswer: 3567852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11091173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 8422219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 37661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 193\/1450680 and 77\/37680.\nAnswer: 2901360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 549368773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express ((1 - 1 + 1)*(2*t - 2*t + t**2) - 2*t**2 - 3*t**2 + 3*t**2)*(3*t**2 - 2*t**2 - 3*t**2)*(9 - 10 + 25) as i + q*t**3 + w*t**4 + r*t**2 + z*t and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -61478*g*o**4 - 48644*g wrt o?\nAnswer: -245912*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -28\/14145 and -191\/34500.\nAnswer: 1414500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-1\/13)\/o)\/o)**(-45) assuming o is positive.\nAnswer: o**(1215\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 1145450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together 6.1567886 and 13812.6.\nAnswer: 13818.7567886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -2*u**4\/17 - 3504*u**3\/17 + 70898*u**2\/17 + 31536*u\/17 - 637920\/17 = 0.\nAnswer: -1772, -3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 0)*(0*c - 6*c + c)*(5*c**2 - 5*c**2 + 2 - c**2).\nAnswer: 5*c**3 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s**2 - 120*s + 38. Calculate n(-42).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 588416 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.05 - -12.95. Let c = -9 + t. What is the third biggest value in 2\/3, -3\/5, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 + c. Suppose 2*f - 2 = 4*f. Let k be a(f). Solve 3*p + 12 = -k*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*w + 7*w - 8*w - 5 + 3 to s + d*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -7*b - 12. Let f be y(7). Let z = -56 - f. Suppose 5*h - 19 = -v, 7*v - z*h - 126 = 3*v. What is the remainder when 51 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1072.7 + -1073. Which is the closest to 10? (a) 0.1 (b) -1\/8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*y**3 + 8*y**3 + 3*y**3 + 22*y**2 - 20*y**2 + 8*y**3 - 20*y**3.\nAnswer: 7*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -6 - (13 - 6 - (-1 + -1 + 1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 467, 275, -45, -493, -1069, -1773, -2605?\nAnswer: -3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence swsd when four letters picked without replacement from svwswsywswdssvyyw?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.02 times -158\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2\/2 - 2)\/(-1). Let w(p) = -p**2 - p. Let t(z) = -z**2 - 4*z. Let o(b) = l*t(b) - 3*w(b). What is the tens digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 102 + -100. Suppose 19 = 3*g + p, -p - 7 = -r*g + 14. Suppose 3*n = 6, 5*f - g = -4*n + 5. Calculate the greatest common factor of f and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 40\/6 + 8\/(-12). Suppose y = -2*y + f. Suppose 4*h + y*p - 132 = 4*p, -2*h - 3*p = -74. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.2 less than 2643961?\nAnswer: 2643966.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (88 - 173 + 98)*(-116 + 323 - 70)*(-6*r + 4*r - 5*r)*(-2 + 1 + 0) to g + i*r and give i.\nAnswer: 12467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 11*x - 9*x. Suppose 8 = 10*l - 12. Put 0, l, x in descending order.\nAnswer: l, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11302 - -120?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 4\/1*30\/40\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/10 and 40\/(-100) - (-97)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -215907 (base 12) to base 10.\nAnswer: -528343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 3890 by -778.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11552 and 59067808.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -959.709438 + -4\nAnswer: -963.709438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 226 + 41731.\nAnswer: 41957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2d3b5c (base 16) in base 14?\nAnswer: 57240c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*j**3 - 55*j**2 + 142 with respect to j.\nAnswer: -12*j**2 - 110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2.82 - 3.02. Which is the closest to 0? (a) -1.9 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 813484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p - 21*p**3 + 23*p**3 + 2*p + 2*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -127, -185, -243, -301?\n\"Answer: -58*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3766465111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 5 + 4)*(2*p - 3*p - p)*(-3 - 4 + 5)*(p + 0*p + p) to the form u*p**2 + l*p + t and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 90*x**2 - 7.\nAnswer: -90*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 372 = 81. Let z = f + -38. Suppose 259 = 6*x - z. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7309 + 14902. Calculate the remainder when a is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 299647, 1198572, 2696705, 4793980, 7490331, 10785692, 14679997?\nAnswer: 19173180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*j**3 - 2*j**3 - j**4 - 9*j - 2*j**2 + 3*j**4 to the form s*j**2 + m*j**3 + u*j**4 + t*j + w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9535\/6 + 4769\/3. Sort -3, 126, g in increasing order.\nAnswer: -3, g, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (0 + sqrt(11))) + 5 + -1*sqrt(33)\/sqrt(3) + sqrt(11) - (sqrt(22)\/sqrt(2) + -2 - (1 + sqrt(11) + 2)**2).\nAnswer: 5*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*l - 1230, b + 1242 = 4*l - 4*b. Calculate the greatest common divisor of 28 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 161126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + f + 22, -21*w + 19*w + 5*f = -38. Let l(v) = -21*v - 5. Let d(u) = -5*u - 1. Suppose -11*i - 14 = 8. Calculate i*l(j) + w*d(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3\/(2 + 637\/(-320)). Let d = 544 - x. What is the greatest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-2)\/(-8) - (-27792)\/192 and 870?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 211 - 255 = -v + 9*z, -3*z = -3*v + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00013433445095 rounded to seven dps?\nAnswer: 0.0001343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 3*p**2 - p - 22. Let j(o) = -2*o**2 + o + 15. Let x(g) = -5*c(g) - 7*j(g). Calculate x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + c2a?\nAnswer: c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + ((-27)\/5)\/3. Let a = -79.5 - -14.5. Let y = a + 50. What is the third biggest value in m, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11557 + -11556.8. What is the nearest to -50 in z, -1, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4*v = -2*p + 32, -32 = -p + 5*v. Let s = -83 - -92. Suppose -s*i + p = -6*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 95001760 divided by 5\nAnswer: 19000352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**2 + 3*m**2 - 2*m**2)*(0*m - 7*m + m) + 5*m**3 + m**3 - 4*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7682630 and 459421274.\nAnswer: 2297106370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -12*t - 14. Let x be u(-6). Suppose -9*o - 4 = -x. Is (-1*3737)\/(8 - o - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4864*b**2*u**4 - 2*b**2*u**2 + 516294*b**2 + 3079*b*u**3 - b*u - 1 wrt u.\nAnswer: 116736*b**2*u + 18474*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 77633 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -3*x - 4*u + 8, -10*u + 3059158 = 5*x + 3059123 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*a**4 + 2*a**3 - 2*a**3)*(829*a - 701 + 701).\nAnswer: -2487*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l*l*l**(1\/5))*l*l*(l\/(l**(-1\/9)*l)*l)\/l assuming l is positive.\nAnswer: l**(41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 + -16. Let u be (3 - g\/(-2))\/((-1)\/(-24)). Let v be u\/20 + 291\/15. Calculate the highest common factor of 180 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34*v - 131*v + 18*v - 2)*(-8*v + 7*v**2 + 8*v).\nAnswer: -1029*v**3 - 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k - 38. Let h = -54 + 30. Let d = 12 - 8. What is the lowest common multiple of q(h) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 63142 = -134*u - 724*u - 6356 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2057493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, j: 1, n: 10, u: 1}. What is prob of sequence nnu?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 4:00 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add -9 and 243.062.\nAnswer: 234.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3462592379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 - -1)\/((-19604)\/(-1960) - 10) is divided by 241?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/61170 and 89\/48936?\nAnswer: 244680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 32 = -4*z + 9*z, 0 = 4*i + 3*z + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 + 5*a**2 + a + 1. Is 22 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(320) + -5 + -3)**2 + -3 + 2.\nAnswer: -128*sqrt(5) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -43.6237378 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 5*q + 2*q - 3, 2 = -2*b - 2*q. Suppose 51*p - 42*p - 6786 = b. List the prime factors of p.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 12 = 8*b. Suppose 678 = b*f + 36. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uujujuujuuuu.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/171 - -857\/342. Let j(h) be the first derivative of -14\/5*h**5 + 0*h**2 + 4\/3*h**3 + 0*h - w*h**4 + 3. Determine o, given that j(o) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -117 - -119. Let c be (-8 + 9)\/(1\/f). Suppose -2*x - x + 5*g = -17, 2*x = -g + 7. Solve -c*t - 8 = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*k**4 - 456263*k**3 - 283856*k + 8.\nAnswer: 144*k**2 - 2737578*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18 + 18 - 3*b)*(-b**2 - 4*b**2 + 2*b**2) + (3*b + b - 6*b)*(b**2 - 3*b**2 + 5*b**2).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h - 13. Suppose 41*b + 212 = 212. Determine x(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 780 = -4*p. Let a = -20 - -26. Calculate the remainder when p\/(-8)*4\/(-6) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.02 + -0.02. Suppose -2*p = w - 4, 4*p - 4*w + 24 - 8 = 0. What is the biggest value in p, d, 4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1129 - -1133. Let o(k) be the second derivative of 1\/6*k**3 + 16*k - 1\/15*k**6 + 1\/42*k**7 + 0 - k**2 + 1\/3*k**a - 1\/10*k**5. Factor o(g).\nAnswer: (g - 2)*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*x + 58 = -68. Suppose x*y = -2*r + 1155, 0 = y - 2*r - 580 + 203. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 5 + 1. Let u = b - 10. Suppose -3*o = -0 - 3. Sort u, 0, o.\nAnswer: u, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13724.\nAnswer: 2, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y**(-1)*y)**18*y**(6\/7)\/y**(-3\/8) assuming y is positive.\nAnswer: y**(2085\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -205*k - 149*k - 1810 - 4916 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 64213 and 618423.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -4*h + 21, -2*x = 4*h - 9 + 3. Let r be 2 - 0*(5 - 4). Solve -2*w = 4*q + 18, -r*w + 23 = -4*q - x*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -21.71, -0.1, -1\/7?\nAnswer: -21.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.181 and -0.1.\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15 + 12. Let z(f) = f**3 + 3*f**2 - 3*f + 4. Let c be z(-4). Suppose 4*w = d - 5 + 2, -10 = 4*d - 5*w. What is the closest to 2\/3 in h, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 18 = -66. Let c = -2011 - -2001. What is the remainder when 27 is divided by 140\/42*s\/c*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -78.\nAnswer: -78, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2771856 is divided by 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y - 1. Suppose 3*o - 5 - 10 = 0. Suppose 4*t - 3 = o. What is j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/5 - 9755\/25. Let i = v + 396. Solve i*q = 2*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 39*w - 48. Let l(b) = -49*b + 47. Calculate 4*l(x) + 5*u(x).\nAnswer: -x - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 22985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 2 + (sqrt(1872) + sqrt(1872)*4*-4 + sqrt(1872) - 1*sqrt(1872)*5)*-2*3)**2.\nAnswer: 10944*sqrt(13) + 24328528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -317\/14 + 155\/7. Which is the nearest to k? (a) 2\/7 (b) -3\/7 (c) -1\/2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 26, 1\/2, -2, -1373?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -4. Let a = k - 0. Is 0 - (-1 + 252\/a) 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 9786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -2a (base 16) to base 11\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/12)\/((-200)\/24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*z**4 - z - 2*z**4 + 5*z**4 + (-2*z**2 + 3*z**2 + 4*z**2)*(-6*z**2 + 2*z**2 + z**2).\nAnswer: -19*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 2*b**3 - 14*b**2 + 9. Let q be i(7). Suppose -q = -0*c - c. Calculate the least common multiple of c and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4985 + 3987. List the prime factors of m.\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 1291 = -4*v - 3*c, c = 5*v - 1611. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 43 - 3*f - 43 + (-5*f + 0*f - f)*(4 - 4 - 1) + 2 + 2*f - 2.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -8 less than or equal to 76635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5519536 and 880.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 49, 0, -49?\n\"Answer: -49*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 139*l**3 + 17*l**3 + 12*l + 0*l - 26*l**3 - 12*l.\nAnswer: 130*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the second derivative of -m**4\/12 + 7*m**3\/6 + 3*m**2 + 2*m. Suppose -h + 11 = 2*y - 0, -3*h - 3*y + 27 = 0. What is the units digit of i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -6*d**3 + 13*d**2 + 4*d + 4. Let p(u) = 5*u**3 - 12*u**2 - 3*u - 5. Let z(l) = 5*p(l) + 4*r(l). Calculate z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 150*t + 95*t**2 - t**4 + 32*t**3 + 10*t**4 - 4*t**4 - 82*t**3.\nAnswer: 5*t*(t - 6)*(t - 5)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 PM and 10:07 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -396, -1531, -3414, -6045, -9424?\n\"Answer: -374*n**2 - 13*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -30962*l + 30886*l + 228 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = u - 5. Suppose 0 = -2*m - f + 247 - 24, -m + 139 = -u*f. What is the remainder when m is divided by 5 - ((-216)\/63)\/((-2)\/(-14))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and -17550912?\nAnswer: 17550912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 18203 take away 1257488?\nAnswer: -1239285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -4*r**3 - 3*r**2 + 4*r - 3*r - 2 + r**3. Suppose 3*u - 5*u - 10 = 0. Is b(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.732 - -1.57. Let h = 0.023 + u. Let n = 0.13899939 + h. What is n rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3697 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110 + -100001000000011001000?\nAnswer: -100001000000011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 6*a + 42 = 0. Let f = -14 + a. List the prime factors of -3 - (3 + f + -26).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2015 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 2*b + 2*f = 30, 0 = 3*f - 15. Suppose 0 = -l + 4*l - 6. Let y = 0 + l. What is the remainder when b is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 202389 = -157*z + 208983 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 227 a factor of 321205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -40.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -25*o**3 + 3*o**2 - o. What is the units digit of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 17 - (20 - (-1 - 17) - 11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2162448101 take away -0.1?\nAnswer: -2162448100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the second derivative of -t**7\/7 - 7*t**3\/6 + 17*t. Find the second derivative of r(f) wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 7, w: 5, t: 7}. Give prob of picking 4 n.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 3\/2, -0.3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 + 4a?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(170)*-5*-3)\/(sqrt(1210) - (-2*sqrt(1210) - sqrt(1210)) - sqrt(1210) - sqrt(1210) - sqrt(10) - 3*sqrt(250)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -205659930 - -0.19.\nAnswer: -205659929.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -143*w + 35*w - 216 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 560 and 3470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vdjvhbff. What is prob of sequence jd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 11160625193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.834 + -0.166. Which is the closest to 0.1? (a) h (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2 - 412*f - 287680.\nAnswer: 2*(f - 496)*(f + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77 = 3*r + 55. Suppose 0 = -6*m + m - 4*s - 204, -2*s = -4*m - 184. Is m < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -30 + 58. Let j be 2\/(-8) - (-175)\/r. Suppose 0 = -9*o + 4*o - a + 19, j = o - 2*a. Calculate the highest common factor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12204*t + 12123*t + 50 - 50 + 12129*t - 36214*t.\nAnswer: 242*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 247 - 224. Which is the second biggest value? (a) -0.2 (b) 1\/6 (c) g (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/66*(-31)\/((-217)\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43361 + -17978. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15920839 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -9*a + 2. Let r(l) = 9*l - 2. Determine 2*n(i) + 3*r(i).\nAnswer: 9*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.08 + 0.1. Let d = i + -4.4. Let h = d + 0.22. Which is the biggest value? (a) 2 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4071)\/207 - 4\/3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2087 (base 13) to base 10.\nAnswer: -4505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*((-143)\/99*-3)\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*m**2 - 84*m - 320.\nAnswer: -4*(m + 5)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the second derivative of o**7\/280 + o**6\/720 - o**4\/12 + 2*o. Let f(j) be the third derivative of r(j). What is the units digit of f(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-1 + (-8)\/(-6)). Suppose 0 = 2*t + k*t - 20. Let y(l) = 3*l**2 + 4*l + 4. Let x(o) = 4*o**2 + 5*o + 5. Determine t*x(i) - 5*y(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 8 - 1 - 245983*n + 245966*n. Let q(l) = -9*l + 4. Give 3*i(z) - 5*q(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 7*r**2 + 102*r + 38. Let g be y(-19). Calculate the highest common factor of g and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*d - 5*d + 10 - 10 as f*d + w and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-21)*y)**(-41)*y**31*y*y\/((y*y*y\/y**(-43))\/y) assuming y is positive.\nAnswer: y**808","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 600 = 55*n + 22 + 28 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.08 (b) 3\/2 (c) -56 (d) -470 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**14*w\/((w\/(w\/((w\/w**(-11))\/w)))\/w)*w assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q\/q**(3\/5)))**(2\/7)\/(q**8\/(q**(-9)\/q)))**49)**(2\/17) assuming q is positive.\nAnswer: q**(-8736\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -1804997*o - 6. Let c(m) = -37*m. Calculate c(k(g)).\nAnswer: 66784889*g + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together 4536197514 and 22392.\nAnswer: 4536219906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1441.4067 rounded to the nearest 10?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-66)\/14 - 20\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-30))\/((-1)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -75*h**3 - 130*h**2 + 268*h**3 - 68*h**3 - 65*h**3 + h - 65*h**3 to l*h**3 + i*h**2 + f*h + p and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 6*m - 2 + 2 - 27*m. What is u(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1100517.8 to the nearest one thousand.\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * 92980.1\nAnswer: 37192.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/y**(1\/6)*y*y**4\/y*(y*y**(-2))\/(y*y**(1\/6)*y) assuming y is positive.\nAnswer: y**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33643 + q - 33643.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 809, 1556, 2265, 2930, 3545, 4104?\nAnswer: 4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 AM and 3:20 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4186819759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5120 + 145?\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p + 10. Let t be w(8). Let b = t - 8. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 68720261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(2\/(-6))\/(11\/33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -2*n - 1, -20 = 3*n - 2*n + 4*c. Let h(m) be the first derivative of -m**3\/3 - 5*m**2 - 9*m + 109. Let u be h(n). Are 6 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -12*o**2. Let m(g) = 14*g**2 + 1. Let w be m(1). Let x(c) = -3*c**2 + 0*c**2 + 6*c**2. Suppose -2*p + 0*p + 8 = 0. Calculate p*k(l) + w*x(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*x**2 - 2*x**2 - 3*x**2 + (4 - 4 + x**2)*(-3 + 0 + 1) - 102 - 165 - 12*x**2 + 4*x + 276.\nAnswer: -16*x**2 + 4*x + 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 486, 487, 488?\n\"Answer: h + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of -y**7\/2520 - y**6\/144 - y**5\/60 + y**4\/8 + y**2. Let p(f) be the second derivative of o(f). Is 4 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of v + 36 + 79 - 118*v**4 + 48 wrt v?\nAnswer: -472*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -7*g - 17. What is l(-12)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 7 = 23. Sort y, 1, 4, 3 in increasing order.\nAnswer: y, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 4*b - 191, 0 = 2889*q - 2890*q - b + 45. What is the remainder when q is divided by (-20)\/(-1)*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -3*c**3 - 3*c**2 + 6*c + 33. Let y be a(-15). Suppose -4*o = -b - 12512, -3*o = -b - 2*b - y. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42)\/3 + 470\/(-125)*(14 + -15 + -4).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 4*j - 36 = -8*w, 0 = -3*w + 5*j + 35. Let m(h) = 2 - 11 - 5*h + 3*h. Let k(s) = 7 + 9 + 3*s - 3. What is w*k(b) + 7*m(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 5:24 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -21775*u + 1774189 - 971884 + 2050220 = 0 for u.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**2 + 170*p + 1435.\nAnswer: -5*(p - 41)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -8*c**3 - c**2 - 2*c + 1. Let z be d(-3). Let j be 9 - -480 - (-24)\/(-6 - -2). Let y = j + z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/2*(-10 - 1)\/((-3971)\/6498)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 3*o**2. Let j(s) = -2*s + 11. Let n be j(5). Let r(h) = -1. Let u(a) = 3*a - 2. Let z(q) = n*u(q) - 2*r(q). Give g(z(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 3*i**4 - 8*i**3 + 1002*i - 1. Let h(c) = 11*c**4 - 41*c**3 + 5018*c - 6. Let u(s) = 4*h(s) - 21*z(s). Find the second derivative of u(r) wrt r.\nAnswer: -228*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 7491, 15107, 22725, 30345, 37967?\n\"Answer: b**2 + 7613*b - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4308435*h**2*s**2 + 270*s**2 + 197*s wrt h?\nAnswer: -8616870*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 75804*b**3 + 2653137*b**2 - 105*b.\nAnswer: 3*b*(b + 35)*(25268*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-66)*(351\/(-6))\/39?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6173364 is divided by 246?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -2\/3 (b) 4 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-14) - (136\/378)\/1.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 3:17 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 779496 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + -15. Let w be d\/2*(-8)\/(-12). Let i(x) = -3*x - 8. Let s(t) = -4*t - 9. Let n(p) = 5*i(p) - 4*s(p). Calculate n(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 547*f**3 - 27542*f - 105777644?\nAnswer: 1641*f**2 - 27542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -123 + 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d + 3. Give o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29 + 33. Suppose d = -o + 7, 0*o + 5*o - 5 = d. Suppose -3*z + g = 12, -o*z - 16 - 5 = -5*g. Sort z, h, 0, 5 in decreasing order.\nAnswer: 5, h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 32 - 32. Suppose 9*c - 13 - 14 = z. Suppose 2*r - 2 = 0, -o + 2*r - c = -21. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*sqrt(168))\/(2*sqrt(294)))**2*-4.\nAnswer: -400\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 + -10. Suppose 0*c - 2*c + 12 = 0. Suppose -2*m + 12 = -c*m. Put -5, m, s in ascending order.\nAnswer: -5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -240 + 421. Let i = x - 18. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 216 in 0.016, -39, -0.5?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 56392 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -51*f - f**2 - 52*f + 102*f + 2*f**3 in the form m*f**2 + k*f + h*f**3 + u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 2*m**2 - 5*m + 6. Let l(b) = 4*b**2 - 9*b + 11. Determine -7*a(r) + 4*l(r).\nAnswer: 2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (8 - (3 - (-3 + 9))) + 24\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*q - 49*q - 131*q - 79*q.\nAnswer: -217*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -3*x + 4, x - 165 = -4*q. Suppose -39*n - 646 = -q*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1097 - -1112. Put 2, -1, o, -5 in descending order.\nAnswer: o, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 4*v - 2*v + 17229, -q + 5757 = 4*v. Suppose 12*d - 6219 = q. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -30*u**2 - u. Let j(w) = -90*w**2 - 4*w. What is -10*c(n) + 3*j(n)?\nAnswer: 30*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.5 - 2.5. Let y = f - -13.3. Let o = y - -1.7. Are 1 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 45 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001011011001011111000010 + 111?\nAnswer: 1001011011001011111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(56)\/sqrt(2) - sqrt(7)) + (5*(sqrt(7) + -1 + sqrt(7))**2 - sqrt(7)))*-4.\nAnswer: -580 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21.2 + 24. Let f = -0.8 + c. Let i = -247\/7 + 35. What is the third biggest value in -0.2, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r\/r**(-1\/12)*r**(5\/7))\/(r**(5\/8)*r**(-4\/5)))**(-3\/13))**(7\/8) assuming r is positive.\nAnswer: r**(-2497\/4160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 89*a**2 - 6671*a - 152. What is q(75)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is u in 5*u**5 + 500430*u**4 - 1501330*u**3 + 500460*u**2 + 1501325*u - 1000890 = 0?\nAnswer: -100089, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 404 and 49000?\nAnswer: 4949000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -5*c**5 + 4*c**3 - 8*c**2 - 4. Let n(j) = 6*j**5 - 3*j**3 + 8*j**2 + 3. Let t(f) = 3*i(f) + 4*n(f). Find the third derivative of t(h) wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3992 by 8.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.5 - -3.1. Sort c, 0.4, -1\/4.\nAnswer: c, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -64 + 64.4. Let h(c) = c - 6. Let p be h(8). Let j be (6\/36)\/(1\/(-3)). Sort j, q, p in ascending order.\nAnswer: j, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q and 1 m when four letters picked without replacement from {m: 3, c: 3, p: 1, q: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720)*-1 + 2 + sqrt(90)\/sqrt(2) + sqrt(45))**2 - (-5 + (sqrt(5) - (-1*sqrt(25) + sqrt(25))\/sqrt(5) - ((sqrt(320)*1)**2 - sqrt(320)))).\nAnswer: -33*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3030216664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-3)\/((-20421)\/1854 + 11) is divided by 61?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*b**2\/19 + 163846*b\/19 - 49152\/19.\nAnswer: -2*(b - 8192)*(10*b - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1302168 divided by -483.\nAnswer: -2696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d + 45125 = -14*d. Is d at most -1805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4412606 (base 7) to base 3.\nAnswer: -1000111101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 111487326 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3239854 divided by -571\nAnswer: -5674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 20*s**3 + 3319*s**2 - 128*s + 6278. Give t(-166).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.2 - -1.8. Let f = -3.16 + x. Let p = -0.54 - f. Round p to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 74*k - 1839917 - 2*k**2 - 218*k + 1839981 in the form g*k**2 + z + w*k and give w.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -5) + -3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -130b14 (base 12) to base 8\nAnswer: -1142500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 37 = -4*o + 51, 4*o + 5*d - 60 = 0. Solve -3 = -0*u - 3*u, o = -3*j + 5*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -10*c**2 + 27*c - 108. What is k(4)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -5*s**5 - 55*s**4 - 120*s**3 + 180*s**2 = 0. Calculate s.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 28545*g**3*m - 20*g**3 - 1417*g*m + g + 811*m wrt g.\nAnswer: 171270*g*m - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 28 - 201?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -20*w**5 + 105*w**4 + 305*w**3 - 945*w**2 - 1125*w = 0.\nAnswer: -3, -1, 0, 3, 25\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 602 + -200. Which is bigger: q or -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0394933 and -2.99.\nAnswer: -0.118084967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 0*h + 5*h - 7*h**2)*(3 - 5 - 1) + 3*h**2 - 5*h**2 + h**2 as r + c*h + g*h**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 0*h - h - 16, h = -b + 10. Suppose b = 4*c + 5. Suppose -5*z + 39 = 2*u, 99*u + 60 = 5*z + 104*u. Solve 23 + c = -z*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(88) + sqrt(88) + 2*sqrt(88))*-6 - ((sqrt(88)*2 + sqrt(88))*-5 + sqrt(88)))\/(-2*(sqrt(8) + sqrt(72)*-1 + (sqrt(32) - sqrt(128)))).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -18*h - 8 + 3*h + 16*h**2 + h**3 - 1 - 7. Let p be r(-17). Let l = p - -89. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.3668737 - -0.3667. What is m rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(2\/13)*z**(13\/2))\/(((z\/((z*z\/z**(1\/17))\/z))\/z*z)\/z*((z*z\/z**(-12))\/z)\/z) assuming z is positive.\nAnswer: z**(-1641\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 75 (base 15) in base 3?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + -3. Let a = -114.84 + 87.8. Let v = -27 - a. Sort t, 2\/13, v in ascending order.\nAnswer: t, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -15 * -44.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1760083818 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-12) - 197\/772. Let d = 395\/1737 + m. Factor -2\/9*t**2 - d - 4\/9*t.\nAnswer: -2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 + 0 - 2)*(4 - 1 - 4) - 2 - 10 - 1)*(126*s**5 - 143745*s**2 + 143745*s**2).\nAnswer: -1764*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 PM and 9:21 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1618667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve w**2\/2 - w\/2 - 3 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 3 + 7*s + 2*s**4 - 2 + 4 - s**3 as w*s**2 + h*s**3 + x*s**4 + p*s + t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence luyl when four letters picked without replacement from uuuyrriuiilliuyixlui?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 9*i**2 - 4*i + 4. Suppose 0*p - 3*p - 19 = -2*s, 3*s = p + 18. Let n(b) = 5*b**2 - 2*b + 2. Determine p*u(q) + 5*n(q).\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 10:59 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.09 + 0.07. Let m = t - -0.12. Are m and 0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 523 + -480.9. Let x = h + -22.6. Which is smaller: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f**2 - 3*f**2 + 0*f**2)*(2 + f - 2 + 2*f + 2*f - 3*f + (7 - 3 - 1)*(0 + 0 + 2*f))*(-14 - 30 + 9).\nAnswer: -560*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1114301 - 30?\nAnswer: 1114241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + 2. Let u(o) = 7 + 6*o**3 - 2*o + o**2 - 5*o**c + 3*o. What are the prime factors of u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*z - 2*z**4 + 8*z**2 - 8*z**2 - 2 + 2 - z**4 + (-4*z**3 + 2*z**3 + 0*z**3)*(0*z + 3*z - 5*z).\nAnswer: z**4 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 29.9 and -0.5?\nAnswer: -14.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 minus 38752?\nAnswer: -38757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 50026040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -599 + 661. What is the third smallest value in -6, -1\/7, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21329.\nAnswer: 7, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 6, 46, 124, 246, 418, 646, 936, 1294?\n\"Answer: d**3 + 13*d**2 - 6*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12335, -12894, -13453?\nAnswer: -14012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -2283.28?\nAnswer: -456.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17208 and 22466?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 4*i = 25, 0 = 2*d - i - 3. Solve -t = p - 2 - 1, -3*t = d*p - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(56)\/sqrt(2) + sqrt(28)) - sqrt(28) - (sqrt(28)*-1*1 + sqrt(28)))*6)\/((-2*sqrt(1568))\/sqrt(8)*-1).\nAnswer: 27*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-4) - (-30)\/20. Suppose 0*l - 13*l + 52 = m. Suppose -q - q - 522 = -4*g, -519 = -l*g - q. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3 + 1)*(-6)\/4. Let a(l) = -2*l + 12. Let j be a(5). Suppose 0 = -z + j + g. Solve -z*k - 6 = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -5*d**3 - 13*d**2 + d - 14. Let h(z) = 13*z**3 + 27*z**2 - 2*z + 28. Let a(k) = 2*h(k) + 5*t(k). What is a(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 19*s**2 - 41*s - 3. Let w be g(3). What is the highest common factor of w and 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s + 430 - 430 + 7*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be 180\/3*7\/(-14). Let w = z + 27. Let a(h) = -h**3 - 4*h**2 - h + 2. Give a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 68 = -92*f + 120*f - 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, -0.5, -0.495, 0.3.\nAnswer: -0.5, -0.495, 0.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -273*l - 5916 = -69*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 - 2*h**2 + 5*h + 5. Let g(n) = -n**2 + 1. Let y(f) = 2*g(f) + j(f). What is y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -176 = -2*q + 3*i, -75 = 12*q - 13*q - 5*i. Suppose -100 = -3*x + 4*w, 6*w + w = 3*x - q. What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 10092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -176 - -196. Let d be 24\/(-10)*n\/3. Suppose 6*s + 49 = 3*s - 2*f, -20 = s - 3*f. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of -h**6\/120 - h**5\/10 - 11*h**4\/24 - 11*h**3\/6 - 19*h**2. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/21*1320\/(-550))\/((-4)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 3*v - 3. Calculate p(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the first derivative of -4*u**5\/5 + 3*u**2 + 7. Find the second derivative of a(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 1055 = 5*i, 2*i - 422 = 3*n - n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -265*h + 551*h - 127*h - 108*h.\nAnswer: 51*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (5\/((-35)\/6))\/((-2)\/(-14)). Suppose -5*t - 3*r = -20, 8 = -4*t + 5*r + 24. What is the nearest to -0.3 in 0.2, w, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of 3*s**2 + 7\/20*s**5 + 0*s**3 + 0*s + 0 + 0*s**4. Let q(x) = -2*x. Calculate q(b(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -5.3*-44665.9\nAnswer: 236729.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 0*w = 4*q - 38, 14 = q - w. Let y(n) = n**3 - 9*n**2 - 18*n - 14. Let b be y(q). Let h = b + -26. Solve -6 = 2*z + h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 0*f = -2*f, 3*f = -5*z. Suppose 0 = 4*g - 2*b - 3352, 4*g = -z*g + b + 3354. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2922 - 23413\/8. Find the common denominator of b and (-14)\/(-98) + (-445)\/77 + 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 12:53 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of -9*u**4\/8 + 29*u**3\/6 + 14*u**2 - 2*u. Let f(a) be the first derivative of b(a). Differentiate f(m) with respect to m.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -9a - 24?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of 1\/2*b**4 + 2\/3*b**3 + 0 - 5\/2*b**2 + 1\/20*b**5 + b. Let f be r(-5). Put 4, -4, f in increasing order.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -35*r - 1. Let c be s(11). Let d = -211 - c. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -13450591, -26901193, -40351795, -53802397, -67252999?\n\"Answer: -13450602*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 11 = -8*m. Let v be 10\/8 - m\/(-8) - 3. Let x be 6*(-1)\/v - (3 + -5). Let g(a) = a**2 - 3*a - 4. Determine g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 1)*(120 + 180 - 97)*(-5*s + 3*s + 0*s).\nAnswer: -406*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.802 * 0.5.\nAnswer: 1.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*j - 7*j + 306*j**2 + j**3 - 108*j**2.\nAnswer: j**3 + 198*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(66)\/sqrt(54) + (-1 + sqrt(11))*-6 + ((sqrt(11)*4)**2 + -1 - (sqrt(77)\/sqrt(7) + 2)).\nAnswer: -20*sqrt(11)\/3 + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the second derivative of -115*n**3\/6 - n**2 - 4961*n. Calculate y(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 74157.09 centimeters to nanometers.\nAnswer: 741570900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p - h - 5, 5*h - 11 = -3*p + 5*p. Put 1, p, 25, 5 in decreasing order.\nAnswer: 25, 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -3844 (base 9) to base 10\nAnswer: -2875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -1536*a + 12322. Determine c(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2. Let u(n) = 255*n**2 + 16*n + 737. Let k(i) = -96*i**2 - 6*i - 246. Let m(w) = -8*k(w) - 3*u(w). Calculate a(m(o)).\nAnswer: 9*o**4 - 1458*o**2 + 59049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000002978195 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b - 1a919?\nAnswer: -1a936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 + 19. Let d be ((-10)\/6)\/m*(-3)\/(-1). What is the nearest to -2 in d, 0.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 599 + -604. Let p = 5\/103 - -141\/1339. Let w = -3\/41 - -97\/205. Which is the smallest value? (a) w (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 1, -102 = 5*j - 2*u - 0*u. Let m = j + 6. Let l = -10 - m. Solve -l*t - 2 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -5*b**2 - 4*b + 427. Let d(u) = -13*u**2 - 10*u + 1285. What is -3*d(v) + 8*f(v)?\nAnswer: -v**2 - 2*v - 439","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 5*h**2 + 40205*h + 4947500 = 0.\nAnswer: -7916, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*0.5.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 14 = 4*d. Suppose -3*k = d + 25. Put -0.5, -5, k in descending order.\nAnswer: -0.5, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25\/(-2))\/(108\/216).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the second derivative of y**4\/12 - 13*y**3\/6 - 5*y**2 + 5*y. Let b be h(14). Solve -u - 3*u = b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-1 + 2 + 1)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -19979277.2 rounded to the nearest 100000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 349 + 167 = 2*n, 5*w = 2*n + 1297. What is the remainder when w is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 != -89\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 659810 + 3677534 = 101*v. What are the prime factors of v?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 - 27*g**2 - 28*g - 4. Let s(r) = -27*r**2 - 27*r - 3. Let l(o) = -3*c(o) + 4*s(o). Factor l(w).\nAnswer: -3*w*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 260*i**2*n**3 + 2*i**2*n**2 + 9*i**2*n - 3*i*n wrt n.\nAnswer: 1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**3 + 347*p**2 - 3*p + 2 - 347*p**2. Let l be u(3). Calculate the greatest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 32, 136, 318, 584, 940, 1392?\n\"Answer: y**3 + 33*y**2 - 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 74 - (-12 + -40 + 163).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -4*r - 45. Let d be n(-12). Suppose -3*k - 4*g - 28 = 0, -4*k - 5 = -2*g + d. What is the second smallest value in -3, 98, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -799666.05, 0.2, 3.\nAnswer: -799666.05, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02959 * 0.0562.\nAnswer: -0.001662958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -6 + y + 6 + 8*y + 5 - 5 + (y + 3*y + y)*(2 - 3 + 0) + y - 1 + 1 + (-6 + 3 + 2)*(-5*y - 1 + 1).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4417?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 1 + 4)*(-2*s - 5 + 5) - 2 - 2*s + 2 + 3 - 3 - 5*s)*(-3 + 3 - 1)*(136 + 552 + 96)*(-5 + 2*s + 5).\nAnswer: 17248*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-206)\/(-5))\/(-2))\/((19866\/645)\/(-154)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3362310 and 4483080.\nAnswer: 13449240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -77.165663 * -0.5\nAnswer: 38.5828315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-6))\/(1 - (-47)\/(-48)). Suppose 14*s + v = 2*s. Is 101 + s + -3 - 1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1012301 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 189 + -41. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 2 z when four letters picked without replacement from {z: 2, x: 9}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3628241.\nAnswer: 1877, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/2*(-64)\/19680*-41*(-24)\/4840.\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-6)\/10)\/(1\/(-5)). Let q be -1*27*u\/(-9). Let t be (-2)\/q - (-2)\/(-18). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**2 + u - 7. Let c be d(-3). What is the units digit of c - (-4 - 320) - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((4\/1)\/(-4))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyiyyyyyyyyyyyyiyy. Give prob of picking 2 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/2 in -3\/4, -85, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 5 = -4*c. Suppose c*q + 1 = 4*q. Let b be (-12)\/(-27) + (-205)\/(-45). Solve b*w + 5 = 0, -4*g = -5*w - 4 - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1632, -12068, -29464, -53820, -85136?\n\"Answer: -3480*u**2 + 4*u + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.89022l to millilitres.\nAnswer: 63890.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 4, 413, -0.3, -2, 5.\nAnswer: -10, -2, -0.3, 4, 5, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(1\/5)*t\/t**(-3\/2)*(t\/t**(1\/4))**(-46) assuming t is positive.\nAnswer: t**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 111*q + 14. Let p(n) = n - 2. Calculate k(m) + 6*p(m).\nAnswer: 117*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 714 or 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -3*p + 3*p**2 - 18 + 3*p**2 - 576*p**3 + 575*p**3 as i*p**3 + h*p**2 + z + a*p and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 833032388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*a**3 - 8*a**3 - a**3 + 7*a + 3*a wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, -51, -183, -419, -789?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15020 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1375) + sqrt(1375) + sqrt(1375)*3*-2)\/(2*(sqrt(245) + -2*sqrt(245))).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of a**5 + 15*a**3 + 3*a**2 - 147 wrt a?\nAnswer: 60*a**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 59665\/2, 1\/8, -0.2 in increasing order.\nAnswer: -0.2, 1\/8, 59665\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7 + (2 - 6) - -18. Solve 6 - p = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 126719864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-3))\/((-1)\/(684\/(-8))). Suppose 0 = 4*l - 170 - o. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 9\/6*2*(-4)\/18. What is the second biggest value in l, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -382*s = -745*s + 5670 - 12621 - 11199 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 533*p**3 - 1065*p**2 + 531*p + 1 = 0.\nAnswer: -1\/533, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m + 54. Let n be p(-10). Let v = -40.3 - -40. Which is the second biggest value? (a) v (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.06 (c) -2\/13 (d) -1 (e) 1094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -l**4\/3 + 68*l**3\/3 + 48*l**2 - 272*l\/3 - 560\/3 = 0.\nAnswer: -2, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -52 - 6?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9864\/83 + -2758362\/913. Let c = d + 2898. Which is greater: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43211801 is divided by 13890.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13957*t + 1761*t - 1476*t + 7971*t + 2211*t.\nAnswer: 24424*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -147*a**5 + 504*a**4 + 324*a**3 + 48*a**2 = 0.\nAnswer: -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 - 12. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/(-3)*((-369474)\/2128)\/463?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33205?\nAnswer: 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -3*x + 13, -5*s + 25 = 2*x - 9. Let v = 1.5 + -1. What is the nearest to -6\/7 in -2\/3, s, -3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/((-5)\/4)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**3 - 27*v**2 + 123*v + 18. What is a(21)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 - 8*u**2 - u + 7. Let p be x(-8). Let o = 83 + -78. Let a be -1 - ((-6 - 0) + (8 - o)). Solve 0 = -a*z - z + p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41\/156433 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -23*v**3 - 38*v**2 - 5*v - 5. Let i(j) = j**3 + j**2 - j - 1. Let o(r) = f(r) - 5*i(r). Find the third derivative of o(y) wrt y.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1198 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (44*b - 68 + 69 + 22*b)*(35*b**3 + 15*b**3 - 2*b**3) to the form h + t*b**4 + g*b + m*b**2 + j*b**3 and give t.\nAnswer: 3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -5*c + 12610, 207 = 2*c - 4*f - 4813. Calculate the remainder when c is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11010 + 11?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor a**4\/2 + 79*a**3\/2 + 114*a**2 - 2*a - 152.\nAnswer: (a - 1)*(a + 2)**2*(a + 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 8 + -10 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-5\/8)*j**(-23))\/(j**(-24\/7)\/(j*(j\/j**(-4\/11))\/j)) assuming j is positive.\nAnswer: j**(-11601\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -278.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -12*b**4 + 1401*b**3 + 219018*b**2 - 391245*b - 608850 = 0. Calculate b.\nAnswer: -90, -1, 11\/4, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -3*h**2 - 2*h + 2. Let r be c(-2). Let a(p) = -p**3 - 6*p**2 + p + 8. Let t be a(r). Let w = -5 + t. Put 4, w, -5 in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19 + 18.5. Which is the second smallest value? (a) -14 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10893588 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 41808 or 2\/7?\nAnswer: 41808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (12\/(-96))\/((-1)\/4). Let j(a) be the first derivative of a + z*a**2 + 1. What is the first derivative of j(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7273325 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 7*y**3 + 3*y**2 + 57*y - 3. Calculate o(-5).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1246 - -26174\/21. Calculate the common denominator of 17\/543 and c.\nAnswer: 3801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 218 = -o. What is the third derivative of 10*u**2 - 109 + u**5 + 8*u**5 + o wrt u?\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of 1\/14*r**7 - 1\/6*r**4 + 0*r**2 + 0*r**3 + 0*r**6 + 0 + 2*r + 0*r**5. What is the third derivative of j(x) wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 8 + 2*m - 9 + m**2 - m - 3*m**2 + 6*m**2 - 4*m**2 + (m**2 + 0 + 0)*(-1 - 5 + 5).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - 6*v - v)*((-v + 0*v + 2*v)*(-5*v**3 + 0*v**3 + 4*v**3) - v**4 + 2*v**4 - 4*v**4).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(3*2*sqrt(204) - sqrt(204) - sqrt(204)*-1*3))\/(sqrt(24)\/sqrt(2)*2 + 6*3*sqrt(12)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 - 12.8. Let k = -1.1943 + u. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 18 + -13 + (-24 + 47 - 26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-1\/5)*l**18\/l*((l*(l\/(l\/l**(-1\/9)))\/l)\/l*l)\/(l\/l**(-1\/37)) assuming l is positive.\nAnswer: l**(26077\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 64075 and 248225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -11*r**4\/24 + 3*r**2 - 14*r. Let h(d) = -12*d. Let n(p) = -p. Let i(w) = h(w) - 8*n(w). Give l(i(f)).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -60*r + 1125. Let f be k(4). Calculate the highest common divisor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -33351 less than -0.01130924?\nAnswer: 33350.98869076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 407094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 7580327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*(-32)\/120*(-12)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -30261*i = -30377*i + 3480 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - 18*k - 8. What is the remainder when l(-16) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-58)\/(-4))\/((-4)\/8). Let f = p + 31. Suppose -f*u = -4*d + 1080, 1359 = 3*d + 2*d + 2*u. List the prime factors of d.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + -13132?\nAnswer: -13130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 78 = -c, 0 = -4*c - 6*b + b + 227. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -217 - -243. Calculate the least common multiple of 92 and y.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 57725.21 centuries?\nAnswer: 5772.521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -2*o - 3. Suppose o*s = 7*s - 4. Solve 5*u + 12 = s*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -404 = -4*k + 40. Let d(g) = -3*g**3 - 3*g**2 + 3*g. Let a be d(-3). Find the common denominator of (k\/a + -2)*3 and 77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 1 + 1 + 1816*r - 92*r + 1 to d*r + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 58609075 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(396) + -4 - sqrt(396))*4 - (-4*sqrt(396)*-2 - sqrt(396))).\nAnswer: -42*sqrt(11) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 201 = -3*s + 480, 0 = -3*m. What is the highest common factor of s and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 15 = -j, j + 35 = 72*u - 76*u. Sort u, -91, 0, 2 in ascending order.\nAnswer: -91, u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-8))\/(3\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 882115634?\nAnswer: 2, 1439, 306503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 12 = -2*q. Calculate the highest common factor of q and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 504 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5347 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 82.9, 3\/5, -29, -2.\nAnswer: -29, -2, 3\/5, 82.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331233301013331 + 1?\nAnswer: 331233301013332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 - -21. Solve -3*x - 8 = -f*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 - (6 + -4 + -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-142)\/(-4))\/(2\/60) + -4. Let g = -22 + t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(1\/4)*u)\/u*u**(-2\/3)*u\/(u*u**(1\/10))*((u**(-1\/2)\/u)\/u)\/u*u assuming u is positive.\nAnswer: u**(-181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, 4, 0.2, -179, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -14*s**2 - 1 + 0 + s + 17*s**2 - 2*s**2. Let w(o) = 2*o**2 + 4*o - 8. Give 4*k(b) - w(b).\nAnswer: 2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -q. Let k be q - (-7 - (0 + -2)). Let h(i) = 2*i - 7. Let m be h(k). What is the greatest common divisor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 840 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -60 + 61. What is the second smallest value in -0.3, -3, -1.1, d?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -1 + 6. Let o(b) be the first derivative of 3 - 2*b**5 + 4*b**l - 3*b**5 - b + 3*b. Differentiate o(g) with respect to g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -458*s**2. Let x(l) = -32614*l. Calculate x(j(u)).\nAnswer: 14937212*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the first derivative of 14\/5*j**3 - 1\/5*j**2 - 42\/5*j + 1\/10*j**4 + 152. Solve n(r) = 0 for r.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*g + 90*g = 2*h - 20, 0 = 4*g + 5*h - 32 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 11*l + 203. Calculate o(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 45.36273 - 3721474.\nAnswer: -3721428.63727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15996 + -10144. Suppose -a = -2*x + l, -5*x + 5*a - 2896 = -17521. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/((-4)\/2 + 0). Let y(i) = f*i**2 - 5*i**2 + 0*i**2 - 1 + 7*i**2 - 3*i. What are the prime factors of y(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 - 163*j**2 - 245*j - 14193. What is h(165)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 58647 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 + 5*l - 3. Let h be x(4). What is the units digit of 1\/h + (0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*a**2 + 4*a**2 + 35*a**2 + a**2 - 70*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -141 - 411*x + 8341 - 2272 + 7434 wrt x?\nAnswer: -411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -1 + sqrt(1584) - (4 + sqrt(11)*1 - (-1 + sqrt(11)*1 - sqrt(11) - sqrt(11))) - -5*((1 + sqrt(891) + -5)*1)**2.\nAnswer: -350*sqrt(11) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39360 divided by 82.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - a = 2*j + 194, 3*a + 12 = 0. Let h = 40 + j. What is the smallest value in 6, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -442 + 444. Suppose o*p - 965 = -3*x, -p + 266 + 239 = -3*x. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 52535, 210155, 472843, 840593, 1313399, 1891255, 2574155, 3362093?\nAnswer: 4255063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 9 times -34.165\nAnswer: -307.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 7.208 and 755.3.\nAnswer: 5444.2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 24139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + -3. Let z = -2.2 - v. Let w = z - 3. What is the closest to -2\/7 in w, 2, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3985\/42 - 600\/7. What is the common denominator of i and (-7474)\/(-4040)*-2*1\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) be the first derivative of -s**4\/4 - 59*s**3\/3 + 55*s**2\/2 - 297*s - 1014. Determine o(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -5, -7, -18, 5, -4 in decreasing order.\nAnswer: 14, 5, -4, -5, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4975808 - 0.4.\nAnswer: -0.8975808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -o - 2*i, -3*o + 2*i - 3*i + 3 = 0. Let r be 1 - 15 - -5 - 1*-9. Solve o*w - 6 = 4*f - 30, -f + 5 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 plus 54508?\nAnswer: 54507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -4*j + 32. Let d be t(9). Let s be d\/10 + 42\/5. Solve -3*w - 4 = s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -367876392*b**3 - 2068*b**2 - 31*b + 334 wrt b?\nAnswer: -2207258352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003160032 to 7 decimal places.\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 58 + -58.00234. What is t rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - ((-2 - -2) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108786 is divided by 1283?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 170842 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 16616 - 16620. Suppose -2*f + 31559 = -12205. Is 2\/g*f\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 38*t**2 - 140*t + 7. Let z(b) = 77*b**2 - 256*b + 13. Give -11*u(l) + 6*z(l).\nAnswer: 44*l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -13*g**3 - 3*g. Let u(v) = -6*v**3 - v. Let s(q) = q**2 + 9*q + 10. Let x be s(-7). Give x*f(t) + 9*u(t).\nAnswer: -2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*t = 4*k - 84, k - 24 = 4*t. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -j - 4*h + 26, -3*j = h - 63. Suppose -5*k = x - j, -2*x - 2*k - 2*k = -28. Determine n, given that 4*n - 19*n - 3*n**2 + 0 - 2 - x = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 132124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -2*x**2 - x - 1. Let m(i) = -i**2 - 2*i - 1. Calculate -2*m(o) + 3*s(o).\nAnswer: -4*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3292 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*j**3 - 25*j**3 - j + 5*j**3 + 2*j**4 + 3*j**2 + 5*j**3 to c + w*j**4 + q*j + u*j**3 + o*j**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, -6, 5.\nAnswer: -6, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -337, -3399, -12039, -29113, -57477, -99987, -159499, -238869?\n\"Answer: -476*p**3 + 67*p**2 + 69*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - 2\/4*6. Let u be 1\/(-15) - 2\/b. Which is bigger: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -29731?\nAnswer: 2\/29731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/2 + 80\/(-68). Let z = d - -55\/119. Let i = 1 + -1. Is i at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 5*t + 20, 4*t + 32 - 82 = -5*d. Suppose -d*w - 44 = w. Which is greater: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.3, 1.2, -4, 5, 1, -169, -1.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 3*d + d)*(4*d**4 + 2*d**4 - 5*d**4) + 0*d**5 + 0*d**5 - 4*d**5.\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of 0*b**3 + 9\/2*b**2 - 1\/240*b**5 - 7 + 1\/24*b**4 + 0*b. Let a(y) be the second derivative of i(y). Let a(q) = 0. What is q?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1001794 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (8048\/(-436604))\/((3\/6)\/(14\/4))\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/3 or 229?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - 61.474?\nAnswer: -66.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + -0.6. Let j = p - 0.4. Let i = -4.9 + 3.9. Sort i, j, 3 in descending order.\nAnswer: 3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 110910496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/37 (b) 4 (c) 2\/5 (d) 1 (e) 19\/51 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1227185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 117831175 smaller than 117831176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(132)\/sqrt(6))\/(sqrt(294)\/sqrt(3)).\nAnswer: 5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 7*p**3\/3 + 3*p**2\/2 - 6*p + 3. List the prime factors of u(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5005 (base 7) to base 6.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 42629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 46278379 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*p - 14*p + 7*p + 6*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -9*x**3 + 7*x**2 + 1. Let j(i) = -17*i**3 + 13*i**2 - i + 1. Determine 5*f(p) - 3*j(p).\nAnswer: 6*p**3 - 4*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - (2 + -1 + -4). Let l(d) be the second derivative of -d**4\/12 - 5*d**3\/3 - 21*d**2\/2 - d - 11. Let b be l(-7). Solve b = -5*g + t*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - 0) + (-1 - -4). Suppose x = -2*h + 4*h - 12. Let l(r) = r**2 - 6*r - 7. Determine l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 28656.7?\nAnswer: 114626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1046 - (-1)\/1)\/((-155)\/6 - -26)?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*k - 55*k - 5 = 0, -4*k = 5*f + 40. Let j(o) = o**3 + 5*o**2 + 10*o + 14. Determine j(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14730467141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, w: 1, j: 1, e: 1, p: 1, v: 1}. Give prob of picking 1 v, 1 p, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5755, -5206, -4657, -4108?\nAnswer: -3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -4*o**4 + 4*o**3 - o**2 + o + 5. Suppose 0*u = -2*u + 6. Let b(y) = y**4 - 2 + 1 - u*y**3 + 2*y**3. Let m(t) = 5*b(t) + i(t). Solve m(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63*v + 447367 = -46427. What are the prime factors of v?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-72)\/(-54)*12\/(-2). Let g(p) = p**3 + 9*p**2 + 8*p. Let h be g(z). Do h and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 13*q**2 + 1. Let t be r(-1). Let v be 31 + (-4)\/(-4) + -4. Let f be 4\/t - (-422799992)\/v. Round f to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 7 - 2)*(-1 - 3 + 2)*(w**2 + 0*w + 0*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12*i**6*k**3 + 41*i**2*k + 2*i*k**3 wrt i.\nAnswer: -1440*i**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.045589 and 0.63.\nAnswer: -2.54872107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4 + (1 - (-40)\/5). Suppose -s*d + 80 = 4*n - d, -46 = -2*n - 5*d. Factor 30*q**3 + 5*q**5 + 20*q**2 + 23*q + 20*q**4 - n*q + 0*q**3.\nAnswer: 5*q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -108297381*b**3 - 87168222*b**2?\nAnswer: -649784286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 - 59*j**2 + 68*j - 577. Let m be h(58). What is the greatest common divisor of 1329 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26685*k = -26731*k - 1518 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 - 6*j**2 - j + 13. Let y be d(6). Solve -2*k - 5*b = -4*b - y, -5*b = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -w + 17 + 148 + w**2 - 5*w**2 + 2*w**2.\nAnswer: -2*w**2 - w + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:02 AM and 11:52 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v**2 - 10*v + 21. Let t be c(13). Calculate the highest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34014251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-6)*520\/390?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -a875b87 - 0?\nAnswer: -a875b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.867 + 6. Let b = a + 6.567. Let j = b - 6.69999973. What is j rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*c*g**3 - c*g**2 + 8*c*g + 2*c - 237744097*g**3 + 2*g**2 - 32*g + 226 wrt g.\nAnswer: -18*c - 1426464582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 830667, 830273, 829879, 829485, 829091?\n\"Answer: -394*l + 831061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p - 2757842*p**3 + 2757838*p**3 - 2*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 10 - 2 - (86 + -84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m**5\/5 + 197*m**4\/5 + 12739*m**3\/5 + 264687*m**2\/5 - 91980*m - 9784044\/5 = 0. Calculate m.\nAnswer: -73, -51, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = 2*g - 8230, 1223*s - 1221*s + 3*g = 5490. Calculate the remainder when s is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) -917 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 n, and 1 a when three letters picked without replacement from {a: 3, s: 2, e: 6, n: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2825, -0.2, 25, 1, 3.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1441 + 1473. Solve 24*s = f*s + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -15*x + x**2 + 14*x + 790 - 789 + 5*x**5 + (x - x + x**3)*(2*x**2 - 4*x**2 + 3*x**2) - 4*x**5 + 1 - 1.\nAnswer: 2*x**5 + x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 7 = -9, -2*j + 5*f = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -666 by 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (304\/95 - 185\/50)\/((-2)\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2028, 4056, 6084, 8112, 10140?\n\"Answer: 2028*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 41556 - 0?\nAnswer: 41556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*v = -5, -g - 2*v + 2 = -0*v. Factor 0 + 0*w + 1\/3*w**5 + 2\/3*w**4 + 1\/3*w**3 + g*w**2.\nAnswer: w**3*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.14 - -30.54.\nAnswer: 30.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 4 and -1.41234.\nAnswer: 2.58766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -177615 divided by 19735?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 32999 >= 34769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 335 is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 33 + 15. Let p = 120 + m. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 83171560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1427814504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of 5*n**3\/12 - 2465*n**2\/8 + 615*n + 1881. Factor r(k).\nAnswer: 5*(k - 492)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 360 = -6*r. Suppose 5*b = b + r. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13 + 477630?\nAnswer: 477643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*a - 2*j - 24 = -21*a, -8 = 4*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*q + 0)*(2 + 4 - 2*q**2 + q - 7).\nAnswer: -4*q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-10*f - 24*f + 10*f - 1)*(25*f**2 - 26*f - 11*f**2 - 17*f**2) to j + p*f**3 + t*f + q*f**2 and give q.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (8\/(-12))\/((-3)\/45) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 2*b**2 - 173*b + 49. Let q be f(85). Is -218 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from zggayzggg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/7 - (-2)\/(-3 - -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-115493.\nAnswer: -461972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 45 (b) -4 (c) -9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1*1\/5)\/((-1)\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-10) - 96\/(-20). Suppose -s*g + 3*t + 205 = -47, 0 = -2*g + 5*t + 97. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25 + 86. Let c = d - 81. Let h = c - -35. What is the highest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -135*b - 8. Let i(u) = 140*u + 4. Determine 5*i(f) + 6*o(f).\nAnswer: -110*f - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -1\/5, -11\/15, -1.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (7 + -12 + 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-7))**(1\/11) assuming b is positive.\nAnswer: b**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -13062601 divided by -61?\nAnswer: 214141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 589\/3 + -196. What is the closest to 2\/3 in -5\/3, -4, q, -0.16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*a + 14 = 25*a + k, 5*k = 4*a. Solve -4*i - 6 - a = -3*n, 2*i - 3*n + 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*h*u**3 - 8*h*u**2 - 2*h*u*y**2 - 34*h + 17*u**3*y**2 + 2*u + 2 wrt u?\nAnswer: 18*h*u - 16*h + 102*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 6:43 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 387\/1869 - (-18)\/(-63) and -29?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*b - 4368 = 197*b + 27*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1190 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000010974034 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(1 + 3 + -5 + sqrt(847) + -1)*4.\nAnswer: -44*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 181, -0.4, 1043, 0, 4?\nAnswer: 1043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -772 + -1345158?\nAnswer: -1346041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 4*p + 2*p + 10, 3*p - 15 = 4*o. Find the second derivative of -22*v - 5157*v**5 + 5078*v**5 - 1 + o wrt v.\nAnswer: -1580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*y**2 - y**2 + y**2)*(0*y - 4*y + 0*y) + (-2*y**2 + 4 - 4)*(2*y + y - y) + 4*y**3 - 6*y**3 + 3*y**3 in the form c + j*y + f*y**3 + n*y**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*c - 1276 = -3*c - 2*c - 26*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) + ((sqrt(19) - sqrt(133)\/sqrt(7))*-6)**2 - (sqrt(1539) + 0).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, -0.05, -2 in descending order.\nAnswer: 33, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 8, -5.\nAnswer: -5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in 3\/5, 0, -13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 11 - (15 - (-5 + 22)) - -6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2*f = -3*f + 4, 5*f + 10 = 0. Suppose 2*r + t = -5*j + 3, -4*r - 8 = 2*j. Suppose 2*a + 2*a + 5*b - 27 = 0, -4*a + 4*b = j. Solve -m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6663 times -89\nAnswer: 59.3007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*(-2 + sqrt(275) + -1)*6)**2*-4*-4.\nAnswer: -34560*sqrt(11) + 327168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -8*k**2 + 38*k + 335. Let n(r) = 7*r**2 - 32*r - 335. What is 6*n(a) + 5*o(a)?\nAnswer: 2*a**2 - 2*a - 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 6285 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 3*j = 31, 2*j - 75 = 5*y + j. Let u = y + 27. What is the least common multiple of u and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 255, -151, -545, -921, -1273, -1595, -1881, -2125?\n\"Answer: b**3 - 413*b + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1133194?\nAnswer: 2, 443, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 7*b**2 - 4*b. Let z(j) = -j**2 + 5. Let p(f) = f**2 - 4. Let x(a) = -5*p(a) - 4*z(a). Let w(l) = -k(l) - 3*x(l). Find q such that w(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 34744662 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of -p**3\/3 + 15*p**2\/2 - 5*p - 1. Let f be v(15). Let x = 1056 + -6331\/6. Which is the closest to x? (a) -0.3 (b) f (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*p*q**4 - 118*p*q**3 - 1826*p*q + 2*q**2 wrt q?\nAnswer: -24*p*q**2 - 708*p*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -26\/120399657 and 131\/6.\nAnswer: 240799314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of -v**5\/600 - 23*v**4\/120 + 118*v**2 - 256. Let p(t) be the second derivative of z(t). Let p(y) = 0. Calculate y.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-7) + 11\/(-77). What is the second smallest value in i, -1\/5, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/14814 and 131\/1116.\nAnswer: 918468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -11*s - 3*s + 3268*s**2 - 6*s + s - 3019*s**2 as u*s**2 + a + b*s and give u.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of -d**6\/216 - d**5\/360 - 5*d**3\/3 - 8*d**2. Let t(k) be the first derivative of w(k). Factor t(j).\nAnswer: -j*(5*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 14*b = 10*b - 8, 4*b = -3*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 22*s - 2*s - 2*s - 11*s - 9*s - 5. Let d(c) = -1. Calculate 2*d(f) + k(f).\nAnswer: -2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.025 + -0.15.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/(3984\/(-2))*-2?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 181 + -176. Factor -37*k + 30*k**2 + 12 + y*k**3 + 71*k + 18 + 21*k.\nAnswer: 5*(k + 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*-3*(5\/(-30) - 0). Let p = -48 + 51. Solve p*r = n, 2*r - 4 = -w*n + 4*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156)\/sqrt(3)*3)\/(sqrt(4) - sqrt(20)\/(sqrt(5)*-1)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q + 8. Give l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4954 + -74a3?\nAnswer: -274b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 6, r = -3*r - 2*k + 8. Let a(q) = 46*q**3 + q - 1. Let j be a(1). Suppose 4*f - j = 3*f. What is the smallest common multiple of f and r?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 194962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2. Let h be 4\/(-10) - 108\/(-20). Let k(f) = -3*f + 4. Let s(o) = -4*o + 4. Let j(m) = -3*k(m) + 2*s(m). What is h*y(z) + 2*j(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*((u*u**(-1\/4))\/u)\/u*u*u**0\/u*u)**(8\/9))**(2\/61) assuming u is positive.\nAnswer: u**(4\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -5666*s**2. Let k(o) = o. Give k(v(d)).\nAnswer: -5666*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -5*a - 9. Let r be 2\/(-9) - 104\/18. Does 3 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.3 (b) 180 (c) 369 (d) -0.5 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {k: 1, d: 4, b: 1, a: 1, v: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 9:29 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13\/75 in 0.4, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s = 3*s + 120. Let r = -91004 - -91004.5. Which is the fourth smallest value? (a) -2 (b) s (c) 4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -41490 or -41499?\nAnswer: -41499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**2 - 10*x - 24. What is z(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -852 - 1003 = -431*f - 562. Solve 2*t = -4*j - 20, 4*t + 1 = 4*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 20 divided by -202\nAnswer: -10\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1399865 divided by -32555?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 2*j**2 - j**2 - 4*j**4 - 45964 - j**3 + 91928 + 9*j - 45963 in the form u*j**4 + z*j + c*j**2 + l*j**3 + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 144623178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*(t*t*t**(1\/26)\/t)\/t*(t*t*t**(4\/13)\/t)\/t)\/(t**2*t**(3\/13)) assuming t is positive.\nAnswer: t**(3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.1 + 0.05. Let y = -0.35 - c. Sort y, -1\/7, 1 in decreasing order.\nAnswer: 1, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 9:06 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - -5)*(-21)\/70?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 3*a + 0*a = -17, -v - a - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - h + 3*u = -4752, -2*h - 2*u = -4762. Suppose -37 = -2*l - 25. Suppose 7*p - h = -l*p. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19643?\nAnswer: 13, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q**2 - 30*q - 106. Let o be s(-9). Solve 4*j + 18 = 4*p + o, -4*j + 11 = 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1\/(-6))\/((-4)\/8). Let c = -2.4 - -2. Let h = -0.1 - c. What is the third smallest value in r, h, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/6*(28\/32)\/7.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-64)\/24)\/((-12)\/81)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9390942479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19, -43, -75, -109, -139?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -542248 by 67781.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -46 + 49 - (-10 + -1) - (20 + -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1623 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 29851033 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -6*y**2 + 3197*y + 12908. What is k(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(275) - sqrt(11)) + -4 - (sqrt(99) - (sqrt(99) - (1 + sqrt(99)))))**2.\nAnswer: -10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 12*b + 25. Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.26116 + -0.76116. Let n be (-65)\/(-66) - (-1 - -2). Let u = 0.07 - 0.37. What is the smallest value in t, u, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 38*n + 1. Let m be p(1). Suppose 0 = -4*t - 7 + m. Suppose 2*o + t = 4*o. Solve o*a + 15 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2535016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -9*h**3 - 6*h - 8. Let o(l) be the first derivative of -1\/2*l**2 + 55 + 0*l**3 - 1\/4*l**4 - l. What is 6*o(a) - z(a)?\nAnswer: 3*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of 39\/2*s**2 + 5*s**3 - 5 - 18*s. Solve x(m) = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*-2*(-1)\/(-2). Let r = 31 - -104. Let h be ((-2)\/(-5))\/(9\/r). What is the highest common divisor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 9*f**2 - 14*f + 11. Give m(-11).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**2 + 3762*g + 18735.\nAnswer: 3*(g + 5)*(g + 1249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -507, -508, -509, -510?\n\"Answer: -k - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, q: 2, r: 2, j: 9}. Give prob of sequence qrrq.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 i when four letters picked without replacement from {g: 4, e: 2, j: 5, i: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 6732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 3:58 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 44\/7 + 6\/(-21). Find the common denominator of 65\/s + (-3)\/(-9) and -91\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + 0. Let j be (-4 + 0)\/t - -16. Suppose -15 = 12*i - 15*i. Solve i*h + j = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 6*h - 2396 = 0. Let q = -292 + h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2453603525 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w - 8*w**3 + 37 + 13*w**3 - 6*w**3 - 9*w**2. List the prime factors of s(-9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165965550889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -5*i - 12. Let b be 4 - 1 - 24\/3. Let r be w(b). What are the prime factors of -5*(4 + r)\/(-1)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-70)\/(-4))\/((-18)\/(-12)) + -12. Sort i, -19, 292, -3 in decreasing order.\nAnswer: 292, i, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1421942009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1.5*-743198\nAnswer: -1114797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(102)*3 - (sqrt(102) + 2*sqrt(102)*-1 + sqrt(102)))\/(sqrt(24)\/sqrt(4)*4 - sqrt(18)\/(sqrt(9)\/sqrt(3))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x**2 - 11*x - 12. Calculate i(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 8.77731 days in seconds?\nAnswer: 758359.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3*l + 28 = 0, b - 92 = -4*b + 3*l. Let o = 21 + -11. Let h = 16 - o. What is the remainder when b is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = 5*w - 64, -2330*w - 40 = -2335*w - 5*x for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 15921835459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 576 + -551. Suppose 5*s = -20*d + q*d + 285, 2*d = 3*s - 166. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -977.9992376 + 978. What is m rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 479059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/15 (b) -2 (c) -519\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*c - 2 = -1, -y - 2*c = 1. Let n(a) = a - 1. Let r(w) = 702*w + 20357. Let v be r(-29). Let i(l) = -2*l + 3. Determine v*n(x) + y*i(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (12\/27)\/(2\/(13 - -5)). Let r(j) be the second derivative of j**3\/3 - 5*j**2\/2 + 5*j. What is r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-29)\/d*d*d**(9\/2)\/d)\/(d\/(d\/d**1))**(2\/63) assuming d is positive.\nAnswer: d**(-3217\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.3 + 0.1. Let b = 0.46 + -0.06. Let h = -0.11 - -0.21. What is the second smallest value in l, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of -9*r**4\/4 - 31*r**3\/6 - 9*r. What is the second derivative of l(d) wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 62*a**3*q**3*t + 6701*a**3*q**3 + a**3*q*t - 9*a**3*q + 407*a*q**2*t - 2*a*q*t wrt q.\nAnswer: 372*a**3*t + 40206*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.8 + -3.8. Let a = -10.3 + 11. Let x = a + -4.7. Sort s, 4, x in decreasing order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -149.1195 to the nearest integer.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, o: 1, h: 11, b: 1, q: 1}. What is prob of sequence hhh?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**3 - 7*l**2 - 8*l - 9. Let p be m(-6). Suppose q + p - 11 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {r: 7, y: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 51*x**2 - 2*x. Is 7 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 5 = 2*s, -4*c + 5*s + 471 = 0. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 293779*h + 1762670. Determine c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -179, -310543, 4, -1 in descending order.\nAnswer: 4, -1, -179, -310543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 5*h - 6. Let i = 0 - -7. Let s(a) = -a**3 + 8*a**2 - 5*a - 10. Let p be s(i). What is the tens digit of y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**22)\/(u**39\/u)*u**(1\/48)*u*u*u**(2\/7))**47 assuming u is positive.\nAnswer: u**(-200455\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10094884, -10094855, -10094824, -10094791, -10094756?\nAnswer: -10094719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 5909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.07 - 0.23. Let o = j - -0.2. Let s = 0 + o. What is the biggest value in s, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from vvhvffffhf?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q - 54 = -14*r - 9*q, -4*r + 2*q - 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that q**3\/6 + 559*q**2\/3 - q\/6 - 559\/3 = 0.\nAnswer: -1118, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = -2*n - 43, 65645*z + 45 = -2*n + 65644*z for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -670200, -670144, -670088, -670032, -669976?\n\"Answer: 56*i - 670256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -186.5 - -190.5. What is the closest to 2\/5 in -1\/3, 4\/17, j?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**2 - 8*t**4 + 4*t**2 - 21*t**4 + 5*t**3 - t**2 + 2*t**2 as b*t**2 + x*t**4 + v*t + l*t**3 + i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 3*z**4 + 81246*z**3 + 550887903*z**2 + 10993396260*z + 54926388300 = 0.\nAnswer: -13531, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 PM and 2:12 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7098833393 to the nearest integer?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -216, -1482, -3606, -6594, -10452, -15186, -20802?\nAnswer: -27306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*l**4 - 42*l**4 + 11*l**4 + 239 - 256 wrt l.\nAnswer: -164*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -2*p**2 - 298*p. Let r(l) = 194*l. Calculate q(r(h)).\nAnswer: -75272*h**2 - 57812*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 11777*v - 84 = 11791*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 30, -528, -2036, -4968, -9798, -17000, -27048, -40416?\n\"Answer: -79*i**3 - i**2 - 2*i + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of -i**2 + 0*i - 1\/80*i**5 - 1\/160*i**6 + 0 + 1\/32*i**4 + 1\/8*i**3. Factor a(y).\nAnswer: -3*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the second derivative of -q**6\/144 - 107*q**4\/12 - 25*q. Let c(z) be the third derivative of t(z). Let i(d) = 21*d. Give c(i(p)).\nAnswer: -105*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 393 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -2*w**3 + 6*w**2 + w - 6. Suppose -84*d - 60 = -90*d. Let f(n) = -42*n**3 - n**2 + 1 + 33*n**3 + d*n**3. What is 6*f(h) + m(h)?\nAnswer: 4*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32*((-207)\/(-168))\/69?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/4*2*5. Sort -2\/5, -1\/5, -1, i.\nAnswer: i, -1, -2\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k + 12. Let r(t) = t**3 - 4*t**2 + 5. Let z be r(4). Suppose -15 = -2*w - z. Calculate n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 4 = q, 2*j + 1 = -q - 0. Suppose -2 = -l + q. Suppose 0 = -3*d - 12, 2*r + 2*d = l*r - 171. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 - j**2 + j + 9. Let d be (-3)\/(-1)*2\/2. Suppose -5*u + d + 17 = 0. Suppose -3*a = -u*a. Determine f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/18 + (1288\/(-9))\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l + 51. Determine w(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 + -26. Suppose -4*i = -0*i + 20. Sort i, 2, n.\nAnswer: i, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5550.611 + -5477.7. Let a = w + -73. What is a rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + (-1603)\/(-147) + 367786\/(-64470)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 3*p - 90. Suppose p = -u + 5*b, -2*u + 3*b + 13 = 3*u. Find the third derivative of -15*w**2 - 10*w**2 - w**u - 24*w**5 wrt w.\nAnswer: -1500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 4*i**2 - 114 + 114 - i**3. Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -92 + 161. Let y = d + -69. Solve y = 3*c - 0 - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 50\/475 - 148\/(-38). Which is the third biggest value? (a) r (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 89008*m**5 - 4*m**2 + 15100*m.\nAnswer: 5340480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1603980 and 57750?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 510320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-10*z**3 - 10*z**3 - 10*z**3)*(-3 + 8 - 4) in the form i*z + a*z**3 + m*z**2 + y and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 5*o - 50914 = 0, 5*z + 3*o = 4*o + 84810. Suppose -h + z = -12973. Let v = h + -74936. What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2357 - 2333. What is the least common multiple of n and 38 + (-3)\/(6\/(-4))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -304 (base 11) in base 5?\nAnswer: -2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vbh when three letters picked without replacement from {v: 2, b: 1, h: 1, x: 1, k: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -3*m + m**3 + 3*m**2 + 2*m - 6*m. Let b(l) = -l**2 + l + 1. Let v(x) = -x + 6. Let s be v(9). Let g(w) = s*b(w) - d(w). What is g(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1054906 is divided by 1388.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = 3*v - 5*v + 3*i, -8 = -4*v - 4*i. Let c(l) = v*l + 1 - 11*l - 1. Let p(o) = -2*o**2. Determine c(p(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from yyybfylbllsyfybryyf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11221.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 2 + (2 - 1 - 3)*(1 + 2 - 5))*(16 + 16 + 43)*(-2*y**4 + 4*y**4 - 8*y**4 + (-3*y - y + 6*y)*(-y**3 - 2 + 2)).\nAnswer: -1200*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -145 in -4, 2, -0.16, -8\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -234, -479, -724, -969?\n\"Answer: -245*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 12*q**2. Let k(v) = -30675*v + 4*v**2 + 30675*v. Calculate z(k(p)).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1675724422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 25*x + 6. Let c(g) = 5*g + 3. What is -11*c(j) + 2*p(j)?\nAnswer: -5*j - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -92, -442, -1026, -1844, -2896, -4182, -5702?\nAnswer: -7456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/270)\/((10\/12)\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 3 n when four letters picked without replacement from {c: 4, n: 3, x: 3, e: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 2:41 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1541875, 1541875, 1541871, 1541863, 1541851, 1541835?\n\"Answer: -2*k**2 + 6*k + 1541871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000101010010111110010 + 101?\nAnswer: -10000101010010111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5, -13, -11, 7, 47, 115, 217?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12514, 14404, 16318, 18256?\nAnswer: 20218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9890 and 659042?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 18 divided by 28639934\nAnswer: 9\/14319967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -1075000 to the nearest ten thousand.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 5\/6 (b) -15 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**3 + 13*x**2 + 20. What is the least common multiple of 6 and c(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i - 3*i - 3 + 4*i. Let b(y) = -y**3 - 3*y**2 - 2*y - 1. Let c be b(-3). Suppose 26 = c*t + 1. Let n(q) = -3*q + 5. Determine t*k(m) + 3*n(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 30*b - 28*b - 8. Suppose 15*h - 80 = 7*h. Suppose -t + 4*m = h, 3*t - 18 = -2*m - 2*m. Solve -a - 2 = -t*g + 9, b*a - 3*g + 29 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 329022 and 124416?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 9 = 24*x - 29*x, 4*y - x + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + -4 + sqrt(288) + sqrt(288) + 2 + -4)*2)**2.\nAnswer: -192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 287952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1202 - 2103?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-90)\/(-24) - 8\/(-32). Solve p + k*p + 2*q - 15 = 0, -4*q - 5 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + (-47 - 48) + 80?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/(56\/172) - 2\/14. Suppose -u*m + 2093 = m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4476, 4468, 4450, 4416, 4360, 4276, 4158, 4000?\nAnswer: 3796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = -3*w - 30, 4*w + 36*q - 113 = 56*q + 87 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 42 - -116. Let v = -158.3 + l. Which is bigger: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*o - 25. Let p = 7 + o. Suppose k - 4*k = -60. Solve d + k = -0*d + p*j, -15 = -3*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.6 - -0.1. Which is the nearest to 1? (a) 5 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 0*n + n = -y + 4*y + 13, 33*y + 3 = 3*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 142, -43\/5, -0.1 in descending order.\nAnswer: 142, -0.1, -43\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 102688*w**3 - 8*w**2 + 6*w - 2. Let a be c(5). Let x = -36933074 + 15797246. Let d = a + x. Round d to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -39 - (-1 - -18) - -56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 251 minus 23947.5?\nAnswer: -23696.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-540)\/(-162)*(-9)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 20 + 2*b + 2*b**4 - 48 + 12*b**2 + 30 - b**3 in the form s*b**2 + f*b**3 + h + k*b**4 + x*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*n - 10 = -11*n - 3*j, 3*n + 2*j = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -18cc (base 16) in base 14?\nAnswer: -2456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q**2 - 11*q - 4. Let w be d(12). Suppose 0 = 2*g + 2 - w. Solve -2*r - g*k = -2, 4*k = 3 + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 6*q = -q. Suppose 11*r + 10 - 87 = q. What is the remainder when 61 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -106 (base 9) to base 6.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2081001822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38 - (6 + 4 + -13) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -157716899 divided by -1.\nAnswer: 157716899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 965001345 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4840*m + 45 - 18 - 408*m - 23.\nAnswer: 4432*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w + 18*w - 152 = 0. What is the tens digit of (488 + -1)\/(-18 + w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1863147, -1863121, -1863093, -1863063, -1863031, -1862997, -1862961?\n\"Answer: s**2 + 23*s - 1863171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17092*b**3*n**3 - 32*b**3*n**2 - 49*b**2*n**3 - 3158*b**2*n + b**2 - 2*b*n + 2*n wrt b?\nAnswer: -102552*n**3 - 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hqzzhzqzh. Give prob of picking 2 z and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1593*n**2 - 796*n**2 - 796*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 0.1, 0.6 in increasing order.\nAnswer: 0.1, 0.6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -46 (base 10) to base 14\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 508476, -5, -1\/2 in decreasing order.\nAnswer: 508476, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 5 + 2 + 10 + 0 - j. Calculate f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.5 - 1.5. Let z be (-12)\/(-9)*(-15)\/(-14) + -1. What is the nearest to z in d, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q + 11. Suppose -o + y = 3*o + 44, 2*y + 33 = -3*o. Determine f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 60 = 0, 0 = h + 111433*a - 111437*a - 52 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12490 or 12489?\nAnswer: 12490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 294*r + 170*r - 54 + 56.\nAnswer: 464*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*r - 20*m + 18*m - 16, 0 = -5*r - 4*m - 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/7080 and 47\/16?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 5, g: 5, w: 1, j: 1, y: 1, p: 2}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -79863, -79858, -79853, -79848, -79843?\nAnswer: -79838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.012982172 to five dps.\nAnswer: 0.01298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 12:36 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -7*a + 5 + 4*a + 4*a. What are the prime factors of v(17)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 AM and 12:36 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -157\/231 - -1\/77. Let o be (-207)\/(-63) + -3*(-2)\/(-21). Which is greater: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 5*j**4 + 1260*j**3 - 2560*j**2 - 5040*j + 10160 = 0.\nAnswer: -254, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.4 (c) 0.224 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4 = 2*s - s, s + y - 11 = 0. Factor 2*d - s - 2 - d**2 + 7 + 0.\nAnswer: -(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13146151 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**4*(t*t*t**(-37))\/t*t*t assuming t is positive.\nAnswer: t**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 40*s - 5*l - 3190, 2861 = 5*s + 3*l + 2455 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -3. Let g = 4 - s. Is g greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9cd (base 14) in base 16?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the third derivative of -3*w**5\/20 - 5*w**2. Let i(h) = -2280825 + 2280825 - 5*h**2. Calculate i(a(u)).\nAnswer: -405*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*j + 2*k + 19716, -4*j + 0*k = -k + 8757. Are j and -2189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 243, 216, 163, 78, -45, -212, -429, -702?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2546 and 102334.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 29530560 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5019566.67 rounded to the nearest ten thousand?\nAnswer: 5020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*k**2 - 3*k**2 + 6 - 2*k**2 + k**2 wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/179 (b) 381 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -778.4 - 0.2?\nAnswer: -778.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20067520 and 33.\nAnswer: 60202560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 16252 + -2?\nAnswer: 16250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 5 = -2*c - 3*c, -5*y - 4*c = -13. Suppose 2*p = y*v + 25, 5*v + 0*v + 20 = p. Calculate the greatest common divisor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 - 5. Let b(h) = 3. Give 10*b(u) + 6*s(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (94 - 47 - 52).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, -0.5, -0.2, -3, -72.73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 1144*s**3 + s**2 + 2*s - 2. What is the tens digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from wvwvvvvvvwvv.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 3 - 15. Let w(g) = -g + 2. Let y be w(0). Suppose 3*z = -0*z + 4*z. Solve z = -y*l - l - k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 366 - -4?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2062154293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -9921 by 4.\nAnswer: -9921\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 7*b - 1. Let q be 2\/(-2)*32\/4. Let v(r) = r**3 + 9*r**2 + 9*r + 10. Let p be v(q). Is l(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/599? (a) 195322 (b) -3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1357 (base 10) to base 4\nAnswer: 111031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24504425 = -814*o - 21598282 + 54200027. Is o a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7688221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 42019146739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(75)*2 + 2*sqrt(3) + -5)*-6 + -1)**2.\nAnswer: -25056*sqrt(3) + 98358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -175*k**3 - k**2 - 5*k - 3. Determine f(-1).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/((-165)\/(-6)) + 0. Let q = 22861 + -22866. What is the third smallest value in 5, q, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-6*sqrt(343)*1*-3 - (-6*(sqrt(343) + 0) + 3)))**2.\nAnswer: -16128*sqrt(7) + 3161232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 164 + -149 + 148\/11. Which is smaller: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 46 + -84. Let l = h + 95. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 274600*i - 4*i**2 - 44*i**3 - 274565*i + 3*i**2.\nAnswer: -44*i**3 - i**2 + 35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 345 + -25305?\nAnswer: -24520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.5 (b) 0 (c) -10 (d) -3\/7 (e) 4641\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3605051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + f + 7 = 0, -r - f - f = 5. What is the tens digit of 107*(3 - 4)*r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, v: 1, z: 7, c: 2, y: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3*(-34)\/(-216)*((-1650)\/(-99) - 16) and 151\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h\/(h*h\/(h\/(h\/h**(-23))))*h)\/h)\/h)**(-11\/4)*(h**(4\/7))**(-1) assuming h is positive.\nAnswer: h**(458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*q**4 + 352*q**3 - 1824*q**2 + 2688*q - 1088 = 0 for q.\nAnswer: -34, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -3, -4, -11, -746 in decreasing order.\nAnswer: 7, -3, -4, -11, -746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52)*-1)**2*-2 + sqrt(52) + sqrt(117) + sqrt(13) + 4 + (((sqrt(65)*2 - sqrt(65) - sqrt(65)) + sqrt(65))\/sqrt(5))**2.\nAnswer: -87 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 27926.574 months in centuries?\nAnswer: 23.272145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 4*y**3 - y**2. Let d be w(1). Suppose -d*u + 4 - 10 = 0. Let l be 1\/u - 155\/(-10). Calculate the greatest common divisor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -867 (base 15) in base 8?\nAnswer: -3551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125*u**4 + 54346775*u**3 - 97824480*u**2 + 52173100*u - 8695520 = 0. What is u?\nAnswer: -434776, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 49444*a**2 - 2 - 49444*a**2 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 24343, 2\/7, 2\/13, -4, -5\/206?\nAnswer: -5\/206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -377*v + 317*v - 421*v - 422*v.\nAnswer: -903*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (4730\/(-88))\/(-43)*24\/105\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.0717 in 0.4, 43\/3, -5, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, g: 1, f: 2, n: 3, c: 1, j: 5}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (106 - 45 - 8*j - 63)*(-2 + 4 + 0)*(2 + 3*j - 2) to the form h*j + l + t*j**2 and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4452005542 - 5?\nAnswer: 4452005533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/9 in 54, 6, -925, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 205 + -205.2. Let o be (-4)\/24 + 10\/(-12). Sort o, d, 0.5, -0.1.\nAnswer: o, d, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/23908 and -31\/2580?\nAnswer: 358620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (69*q - 73*q + 213*q)*(-11*q + 5*q + 5*q).\nAnswer: -209*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -82*x**2 + 13*x + 1. What is y(2)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 3 (b) 2\/85 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.6 in -15, 3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1065490 is divided by 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 + (-14 + 69 - 22) - (1 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -82 (b) 809 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-63)\/30 + (228\/30 - 8) - (-33)\/6. Suppose -3*y = -2*y - 12. Solve -n*q - y + 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c**2\/2 - 314722958*c + 49525270146134882 = 0. What is c?\nAnswer: 314722958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 14*p - 4251. Let f = 318 + p. Which is greater: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 522 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 30670828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 42, 90, 142, 198, 258, 322?\n\"Answer: 2*n**2 + 42*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 28245 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v + 9. Let a(x) = -343*x + 2. Calculate a(f(u)).\nAnswer: -343*u - 3085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -31*v + 32*v - 5*r, -2*v + 25 = -r for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 319115 and -5.\nAnswer: -1595575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 3 p when four letters picked without replacement from {i: 3, p: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add together -125.67587 and -514770.\nAnswer: -514895.67587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 12.7403498 to one dp.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 24*f**4 + 3113350*f**3 - 11516267*f**2 + f - 3 wrt f?\nAnswer: 576*f + 18680100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -69*y + 738. Let v be u(9). Calculate the greatest common divisor of 104 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ekk when three letters picked without replacement from {d: 10, e: 6, k: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 266 and 3584?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + (-122)\/(-6))*(-100 - -172). Let a = 7 + -5. Let s(p) = 1464*p - p**a - r*p. Let d(i) = -2*i. Calculate d(s(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j**3 + 39*j**2 - 144*j + 108 = 0 for j.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 6477, 12945, 19403, 25851, 32289, 38717, 45135?\n\"Answer: -5*k**2 + 6483*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 174 in -2\/17, 5, 0.4, 2625?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is (-8 + 549)*(547 + 16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - (5 + 11)) + -14 + 0 + -17 + 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 0)*(1 - 2 - 1)*((-3*k**2 + 3*k**2 - k**2)*(0 + 2 + 0) + 27564*k - 27564*k + 170*k**2).\nAnswer: -336*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 4:50 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyjyooooyo. What is prob of sequence yyoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 600, 2363, 5308, 9435, 14744, 21235?\n\"Answer: 591*x**2 - 10*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j - 6*j + 13 = 5*k, 0 = 2*j + k + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 15449\/8 + (-2)\/16. Let y = r + -1200. Suppose -6*l + y + 151 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-8*t**2 - 2*t**2 + 0*t**2)*(-2*t + t + 3*t) + 83*t**3 + 38*t**3 + 9*t**3 as c*t + x*t**3 + p*t**2 + s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02200083 to five dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/8? (a) -3 (b) -4 (c) 0.1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -104165 - -147182. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54199 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 22263, 21209, 20155, 19101?\nAnswer: 18047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1640 or 106696\/65?\nAnswer: 106696\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -5*q**2 - 9. Let y(h) = -7*h**2 - 14. Let m(g) = 8*k(g) - 5*y(g). Let d(w) be the first derivative of m(w). What is the tens digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 3*z**2 - 4*z + 9. Let i be a(7). Calculate the greatest common divisor of i and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*d**3 - 62219*d**2 + d + 70025 wrt d.\nAnswer: -18*d - 124438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.996271 and -0.9.\nAnswer: 3.5966439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 789227635.7 rounded to the nearest 1000000?\nAnswer: 789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 + 6*l**2 - 4*l - 23. Let s be j(-6). Which is the closest to 1\/5? (a) -1 (b) s (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 242 - 788. Let q = 257 + h. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 44 + -9. Let j(u) = u**3 + 35*u**2 - 79*u - 16. What is the remainder when j(-37) is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 10 = -4*k. Let y = -74 + 81. Calculate the least common multiple of k and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5064, 4981, 4898, 4815?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 8*g - 9. What is w(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -27*k**4 + 42*k**2 + 1 + 1 - k**3 - 3 - k - 40*k**2 - 5*k**4 as b + f*k**4 + g*k**2 + t*k**3 + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-162)\/(-9) - 18)\/(-2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -142 + 136 + 1 + 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-27)\/(-81))\/((-2)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -93.3 + 89. Let b = a - -4.2. Let y = 71 + -215\/3. What is the nearest to b in y, -4\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**3 + 11*l**2 - 13*l + 12. Let k be p(10). Let w = -7 - k. Suppose 0 = h - 25 - 52. Calculate the highest common divisor of w and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes before 9:35 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = -251 - -466. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 28 and 1134?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 + 77*v**2 + 1062*v + 3. Let u be n(-59). Solve 13 = 3*m + 2*i, -9*m - u*i = -10 - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 13 = 4*r, -2*a - a = r - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -52 - -53. What is the closest to f in 0.4, 0.5, -0.1, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -705 - -3151b?\nAnswer: 30c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2806 and 4?\nAnswer: 5612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 211 a factor of 211255310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18\/211 + 6281\/1899. Find the common denominator of -127\/6 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m**2. Let a(n) = -1 - n + 4*n - 2*n. Let d(w) = 4*w + 1. Let p(t) = -2*a(t) - 2*d(t). What is p(v(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 400*a - 78438. Determine x(196).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*v + 32*v = -172. Let s(h) = -82 - 85 + 11*h**2 - 5*h + v. Let b be s(4). What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.3 and -61630.08.\nAnswer: -61630.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.173 and -6.\nAnswer: 1.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u + 0*u - u. Let w(c) = -4*c**2 - 3. Let v(l) = -22*l**2 - 17. Let p be -2*(40 - 6)*(-2)\/4. Let f(j) = p*w(j) - 6*v(j). Determine r(f(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/10*(-132)\/24 and -41\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -127161, -127175, -127203, -127245?\n\"Answer: -7*t**2 + 7*t - 127161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 34 less than 0.93?\nAnswer: -33.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 34665000 - -3?\nAnswer: 34665003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 3*x. Let d(t) be the first derivative of -17*t**2\/2 + 24. What is d(j(o))?\nAnswer: -51*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 173210 (base 12) to base 7\nAnswer: 3252426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20235.\nAnswer: 3, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 124277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-2407)\/63 + 38 - 9\/(-21)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 420 - 439 = -2*n - 5*b, -5*n - 5*b + 25 = 0. Let p(f) = -f**3 - f**2 - f - 1. Let v(i) = -26*i**3 + 2*i**2 + 2. Calculate n*p(x) + v(x).\nAnswer: -28*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - v - 2. Suppose -3*c + 0*c = 6. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 630503584 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 + 9 - 10*g to the form v*g + k and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -4 - (4 - (-17 - -42))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z = -396*b + 397*b + 1, -4*z = b + 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 4250\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -265 divided by 5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 11*n. Let o(h) = 144*h. Suppose 5*a + v - 2*v = -131, -5*a + 4*v = 119. Calculate a*c(g) + 2*o(g).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2285 - 1627. Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7.091244 micrograms?\nAnswer: 0.000007091244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 5*y - 4*y + 5, -4*w + 10 = 2*y. Let u be 1 - (-4)\/(-18)*6. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -16*d + 20. Calculate s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + 12*s**2 + 15*s - 139. Calculate j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 5:29 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 2*n + 1. Let o = 62 - -23. Let q be (-3 - o\/(-35))*(-28)\/8. What is t(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -4379, -24781, -80161, -188009, -365815?\n\"Answer: -2915*x**3 + x**2 - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117770?\nAnswer: 2, 5, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47609.\nAnswer: 47609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 66595429 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 186599 * 1.93\nAnswer: 360136.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 12578*l - 25089*l + 12571*l + 1380 = 0 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 38120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -571\/31 (b) -2 (c) -1079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 119\/11 or -1\/4?\nAnswer: 119\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + 4*x + 8. Let k(s) = -9*s + s - 5 + 11*s. Let v(g) = 5*g - 6. Let o(a) = -4*k(a) + 3*v(a). Determine o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 606118077 - 606102715.25063. Let r = -15360.3 + z. Let m = -1.45 + r. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/6*(-6)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 3*a**2 + 193*a - 3016. Give b(-74).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/24 and -139\/186.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 394 = -295 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/5, -2\/3, -0.2, 10 in ascending order.\nAnswer: -2\/3, -0.2, 3\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -2 - s**3 - 4*s + 4*s + 2*s**2. Let k(i) = -i**2 + i. Suppose 5*b + 17 + 3 = 0. Determine b*k(o) + u(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 351\/19907 or -1?\nAnswer: 351\/19907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the third derivative of -c**6\/120 - 3*c**5\/20 + 7*c**4\/12 + 23*c**3\/6 + 6*c**2. Is w(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 17 - 8. Let v be 4*(-3 - (-2 - m)). Solve 8*g = 4*g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (-32 - 11) + -6 + 17 - 7.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 5 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*m**4 + 3035*m**3 - 2555*m**2 - 510*m = 0 for m.\nAnswer: -102, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be -206 + (1 - 0\/6). Let d = j + 369. Suppose 36 + d = 4*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-4*sqrt(84)*-2 + sqrt(84) + (sqrt(84) - -4*sqrt(84)*2))\/((2*(sqrt(132)*2 - sqrt(132)))\/((sqrt(220)\/sqrt(4))\/sqrt(5))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2332992 and 6.\nAnswer: 2332992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (0*x**2 + 4*x**2 - 2*x**2 - 3)*(-3*x**2 + x**2 + 3*x**2) in the form v*x**4 + d*x**2 + s*x**3 + o*x + n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 163 a factor of 68462138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -42 - -33. Let f be 63\/z*(-2)\/7. Let b(n) = 2*n**f - n**2 - 3*n + 8 - 6. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 PM and 12:52 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 - 21*c + 110. Let h be o(15). Calculate the highest common divisor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -78*u**3 - 249*u + 249*u + (-1 + 1 + 2*u)*(0*u**2 + 3*u**2 - 4*u**2) - 30*u - 1 + u**3 + 32*u + 3*u**2 - 12*u**2.\nAnswer: -79*u**3 - 9*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1467 at least as big as 1467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 14*o**2 - o - 2. Let h be n(-1). Let r = -12 + h. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ca when two letters picked without replacement from {j: 4, c: 2, s: 1, x: 6, a: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2283, 8854, 19837, 35238, 55063, 79318, 108009?\n\"Answer: g**3 + 2200*g**2 - 36*g + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 106033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -802 + 797. Which is the third smallest value? (a) -0.1 (b) 99 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-3))\/(24\/(-18))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {p: 2, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 - 17*h**2 - 24*h + 47. Let m be b(18). Let s = m + 70. What is the remainder when 19 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9748 times 32?\nAnswer: -311936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*o + 19*o + 2050. Let y = -397 - o. Is y equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1626.000005163 - 1626. Round z to seven decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/5 - 63\/(-10) and -41\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1806 - -1811. Let t = -2 - 2. Sort p, 1\/32, t in ascending order.\nAnswer: t, 1\/32, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwwwwccwwcwcw. What is prob of sequence cw?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of 1\/2*d**4 + 0*d**3 + 45*d**2 + 0 - 1\/40*d**6 + 0*d + 0*d**5. Factor m(h).\nAnswer: -3*h*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 74 + -73.9983. What is w rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49.3119 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 92559.06 milliseconds to nanoseconds.\nAnswer: 92559060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.23 + 0.36. Let b = -4.879 + 0.009. Let i = g - b. What is the third smallest value in 0, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-5\/8)\/d**(3\/11)*((d**(-27)*d)\/d)**(-2\/9) assuming d is positive.\nAnswer: d**(449\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l**2 - 69267*l + 69264 = 0.\nAnswer: 1, 23088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2868999 + -0.06.\nAnswer: -2868999.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(13) - sqrt(65)\/sqrt(5)))**2 + 2 + sqrt(1300) + sqrt(1300) + -1.\nAnswer: 2 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**7*r**(-6\/11)*((r\/r**(-2\/31)*r)\/r)**(-3\/19))**(-17) assuming r is positive.\nAnswer: r**(739449\/6479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -24*p**3 - 2*p**2 - p + 1. Suppose 0*c = -10*c - 10. Let v be m(c). Solve -2*u - 5*n + 5 + v = 0, 5*n = 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1575) + sqrt(1575) + -2 + -1.\nAnswer: -3 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -77963*d**3 + d**2 + 7*d - 2. Is u(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + 0 - (-5)\/(-2). Let o = -0.8 - -2.8. Which is the second smallest value? (a) -2\/3 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((28782\/(-819))\/41)\/(415\/420 + -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 2.4.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 4 (c) -14.482 (d) 0 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -25, 3\/2, 4\/5, -0.06 in ascending order.\nAnswer: -25, -0.06, 4\/5, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 153 - 137. Suppose 5*o - 3*f - 32 = 0, 15*o - f - v = 12*o. Solve 0 = -5*y - c - 25, -o*y + 6*c - 20 = 3*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = 2*w - 2*c, 3*c - 7 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-81)\/(-189))\/(18\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x when three letters picked without replacement from gggggggggggxxggxgxgx?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1266 + 4928 = 19*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 543*z**3 + 567407*z**2 - 37866*z - 4446?\nAnswer: 3258*z + 1134814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 500 and 31704900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 12492276989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1250284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 103647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.27 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/11, 2\/9, 17, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j + 11. Suppose 3*d + 2*d + 50 = 4*c, 5*d - 2*c = -40. Let w(a) = -a - 6. Calculate d*r(t) - 11*w(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 16 + 3 + 1 - 19*k as q*k + h and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*l + 11, 4*l - 5740 = -4*x. Is 1433 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*y + 5*y + 299186 - 299186.\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3.4, -4, -3\/2, 2\/5, -0.5, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**0*a*a**26)\/(a**(-2\/37)\/(a\/((a**(1\/35)*a)\/a))))**(-3\/5) assuming a is positive.\nAnswer: a**(-108879\/6475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 653.2404 hours in days?\nAnswer: 27.21835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 570429018.\nAnswer: 2, 3, 31690501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5587\/13590 - (-18)\/(-60)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*s**2 - 7*s**2 - 3*s**2 + 2*s**2 + 0*s**2 + 0*s**2 + (-4 + 4 + 2*s)*(-1 + 1 - 2*s))*(s**2 - 2*s - 2*s + 6*s).\nAnswer: -6*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-48)\/(-4) + 7\/(35\/10). Let u be (-135)\/(-7) - 6 - 4\/r. Let b(k) = -k**2 + 14*k - 5. Give b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10008 and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 136\/51*12\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -32*p - 4. Let v be k(-8). Suppose -4*q = -t - 477, 0*q = 2*q + 4*t - v. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-11)\/((-374)\/(-221)) - (-1)\/2. Let d(f) = -17*f**2 - 3*f + 2. Let i be d(2). Let y be 12\/i + (-5)\/o. What is the third smallest value in -26, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2593 - -2597. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2496) + -1*(sqrt(2496) + sqrt(2496)*-1))\/(6*-3*sqrt(363)).\nAnswer: -4*sqrt(13)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 5*w - 20 = 5*p, 3*w - 5*p = 18. Suppose a + w + 1 = 0. Let v be (7 - 8)*(-4)\/(-2). Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29, -37, -45, -53, -61?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/309 (b) -3\/4 (c) -130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.2, 5, -1.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 490056 divided by -168?\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*f**5 - 4*f**5 - 6*f**5 + (784*f**2 - 91*f**3 - 784*f**2)*(-2 + f**2 + 2).\nAnswer: -97*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2. Let t(d) be the third derivative of 2*d**6\/15 + d**5\/15 - 3*d**2 - 35. What is -t(f) - 4*u(f)?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1978.91 - -1978. What is the smallest value in 0.3, -0.5, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.17241 * 0.3\nAnswer: 1.251723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.4 - -0.5. Let f = -0.8 - -0.6. Let q(u) = u**2 - 15*u - 18. Let s be q(16). Which is the second biggest value? (a) h (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.2, -142, 6?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(-1\/7))\/(h\/h**(1\/3)*h) assuming h is positive.\nAnswer: h**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16 - 21.1. Let d = m + 4.7. Which is the biggest value? (a) 3 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oci when three letters picked without replacement from {c: 1, i: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -296*z = -293*z + n - 12, 3*n + 44 = 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -2*m**3 - 3*m**2 + 4*m + 57. Let s be k(-6). Is 357 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1075709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-1 + ((-1 + (sqrt(1216) - (-4 + sqrt(1216) - sqrt(1216))) + sqrt(1216))*-2 + 5)*-5)**2.\nAnswer: -972832 - 2560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 74 + 150. Suppose -5*a + 124 = -f. Calculate the highest common divisor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1\/45 - -143\/360. Let r = -1.309 - -1.209. What is the closest to x in 0.1, 3, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3902 is divided by 1925.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.33 (b) 7 (c) 1 (d) 278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 127\/8238312 and 91\/12834.\nAnswer: 189481176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2 and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 4:04 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z + 1. Let p be ((-4)\/2)\/((-8)\/(-12)). Let r be o(p). Let m = 0.3 - 0.2. What is the closest to -3 in m, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that x**5\/4 + x**4 - 27*x**3\/4 + 19*x**2\/2 - 4*x = 0.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -4*a**2 - 418*a - 417. Calculate m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 11 - -6*185986652\/8. What is y rounded to the nearest one million?\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-13)\/((-1638)\/54))\/((-4)\/(-10)*(-80)\/672)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*t + 10, -t + 12 = -l - 4*t. Let h = l + 6. Let a be (1 + -1546)*(-8)\/h. Round a to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**2 + 13*v + 5. Let f(k) = k**2 + 6*k + 3. Let i(q) = -5*f(q) + 2*w(q). Suppose 5*n + 28 = 9*n. Suppose -2*z = -n*z - 20. Determine i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -234*g = -266*g + 31712. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {r: 7, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 4*o + 13 = 0, 85*o - 83*o - 11 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -96*a + 72 = -108*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**4\/12 - 13*p**3\/6 - 11*p**2\/2 - p. Let u = -50 - -37. Give n(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 72529 and 374967?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1108*o*q**3*s**2 - 18*o*q**3 + 6*o*q**2*s**3 + 345*o*s**3 - 11*q**3*s**3 - 2*q*s**2 wrt s?\nAnswer: 36*o*q**2 + 2070*o - 66*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 25 + 2 + 23 - (8 - (-8 - -4))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2231321\/270 - 41334\/5. Calculate the common denominator of u and 7\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7441 and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202550 is divided by 33608.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -10 - 17. Let h = -26.99999974 - r. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 27*c**3 - 10*c**2 + 9*c + 2. Give k(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3 - -5)*1*2. Let v be 8\/(-6) - s\/(-12). What is the units digit of v\/(-2) + 162\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - 2*v - 116, -8*k + 3*k = 2*v - 136. Suppose -9 - 13 = -2*f. Let c = 4 + f. Calculate the remainder when k is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, -2, 4, -101196, 3, -1 in ascending order.\nAnswer: -101196, -4, -3, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 9*c - 39 = 0. Let k be (-1 - c)\/(-4 - -3). Solve -o + 2*u - 1 = -6*o, -3*o - k*u = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 2*o**4 - 17*o**3\/2 + 10*o**2 - 2*o = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.12 - -0.2. Let d(k) = -k**3 - 8*k**2 + 10*k + 13. Let x be d(-9). Which is the smallest value? (a) y (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 99.4 (b) -0.5 (c) -1\/8 (d) 17 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (8\/28)\/((-190)\/(-266)))*(-2)\/10.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/1*(-2)\/3*-39. Suppose 5*j - 7*j + k = 0. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 51\/4 and -89\/106.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*(x*x**0)\/x*x)\/(x*x\/((x**17\/x)\/x)))\/(((x\/(x*x**7))\/x)\/x**(-1\/15)) assuming x is positive.\nAnswer: x**(344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(2\/7))**50)**(-33)\/((k\/(k\/(k\/(k*(k*(k*k**0\/k)\/k)\/k))))**(-1\/4)\/(k**(1\/4)\/k*k)**(1\/13)) assuming k is positive.\nAnswer: k**(-85751\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 6 = 1. Suppose -2*f - 5*a + 24 = 0, 3*a = 5*f - 3 + t. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 10\/9, -2, 0, 1\/2, -0.07?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3170)\/(-8) - (-2)\/(-8). Suppose 131 - h = -5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 610537137 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 974.1973 years to centuries.\nAnswer: 9.741973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + 5 + 1*sqrt(448) + sqrt(448) + (sqrt(448) - sqrt(448)*1*4))**2 - 6*((sqrt(28)*2 - sqrt(28)*-3)**2 + 2).\nAnswer: -4187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {i: 1, g: 1, c: 2, j: 2, m: 6, a: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1051\/3 + 3781\/12. Suppose 3*r - 121 = 3*k - r, -k + 2*r = 43. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1302\/(-13671)*(-6)\/4. Let x be (((-903)\/(-6))\/(-7))\/(-1). Sort 1\/3, g, x, -2 in decreasing order.\nAnswer: x, 1\/3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -7*c**2. Let l(x) be the first derivative of -1\/2*x**2 + 1 + x. Let f(g) = -g + 3. Let n(u) = -f(u) + 3*l(u). Calculate n(o(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 a, and 2 o when four letters picked without replacement from hohtccohcthttact?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 + -6 - -3) + 20 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 - 35 = -7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 9:12 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -49, 207, 635, 1235, 2007, 2951?\n\"Answer: 86*j**2 - 2*j - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(-8)\/o*o*o)\/o*o**(-9))\/(o**(-8))**23)**(4\/3) assuming o is positive.\nAnswer: o**(668\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (4*v**3 - v**2 + v**2)*(-2 + 9 - 2)*(3*v + 3*v - 4*v) as s*v + b + u*v**4 + j*v**2 + p*v**3 and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/15, 796, -4, 5, 211?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k - k = -131094 - 93996. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 32032575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -278.524 to zero decimal places.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 + 11*v**2 - v - 11. Let u be 2\/6 + 34\/(-3). Let t be q(u). Suppose 9 + t = 3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**3\/15 + 725896*m**2\/15 + 1451798*m\/15 + 145180\/3.\nAnswer: -2*(m - 362950)*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1232*c*j**3 + 15*c*j + 29687223*c + 2*j**2 - 2*j wrt j.\nAnswer: 3696*c*j**2 + 15*c + 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -11 (b) 3\/4 (c) -0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4337771 - 1336829 = -214*u + 44*u. What is the highest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 183.\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of -y**4\/12 + 5*y**2. Let n(v) = v. Calculate n(c(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 - 5*w - 7. Suppose 0*t = -t + 3. Let u(c) = -2 + c - t*c - 1. Let s(a) = -5*u(a) + 2*x(a). Differentiate s(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121*o + 327*o**2 + 11*o**2 + 128*o - 249*o.\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 - u**2 - u - 1. Let s(m) = -2*m**3 + 13*m**2 + 18*m - 18. Let j(k) = -3*p(k) - s(k). Is j(-10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8520 and 688.\nAnswer: 732720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xq when two letters picked without replacement from {h: 4, x: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*h + h + h)*(2*h**2 - h**2 - 4*h**2) + (-185*h**3 - 560*h**2 + 560*h**2)*(-3 + 10 - 11) to the form j*h + o + r*h**3 + w*h**2 and give r.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -389*t - 205*t + 55935 = 529*t + 120*t for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1062665 (base 7) to base 9.\nAnswer: 222488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1495 and 27478790?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4186869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2687 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 83 - 86.7. Let b = -4 - o. Let d = 0.3 + -0.4. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 2502*h = -2503*h + 27, 4*h = -5*m + 75 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*((sqrt(8) - sqrt(512)*2) + sqrt(8)))**2 + -2.\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 z when three letters picked without replacement from {i: 1, t: 2, z: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -107964 * -1.888\nAnswer: 203836.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 - 5*y + 8. Let t be h(-6). Suppose 695 = -42*q + 17705. Suppose -n + q = 5*i - 6*n, -2*i - t*n = -154. 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 -111011010010 (base 2) in base 13?\nAnswer: -195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 26, 85, 132, 125, 22, -219, -640?\n\"Answer: -7*i**3 + 36*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**3 - 8*p**2 + p - 1. Let s(c) = c**2 + 2*c - 7. Let l be s(-5). Calculate the remainder when v(l) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16933103 is divided by 266?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (186\/(-248))\/(-1*(-7)\/16)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7250\/7? (a) -5 (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -110, -7, 0, -1266 in descending order.\nAnswer: 0, -7, -110, -1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -7*j + j**3 - j**2 - 4*j**2 - j + 0*j**2 + 9. Let v be s(6). What is the smallest value in -1, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 390 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away 633077.7?\nAnswer: -633072.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9497561, -18995116, -28492665, -37990208, -47487745, -56985276?\nAnswer: -66482801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -238, 246, 46, 1, -2 in descending order.\nAnswer: 246, 46, 1, -2, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -12 + 1 + 7*j + 11 - 3 - 8*j. Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 + -4. Let i be 48 + -52 - (-5 + 0). Which is the nearest to d? (a) -1 (b) -0.8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3527 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 770*g**2 + 4*g - 4*g - 6290*g**2.\nAnswer: -5520*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 14 = -2*x, -x - 6 = -5*o + 11. Let a(z) = x*z**3 + 0*z**3 + z**2 - z**3 + 0*z**3. Determine a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes before 1:35 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2884487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -950, -1955, -2960?\n\"Answer: -1005*d + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -31, -62, -93, -124, -155?\n\"Answer: -31*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 7475 and 634.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5375 a factor of 725798867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 14 = 2*z, -4250*c + 4245*c + z + z + 14 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 356605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 4*x + 2. Let p be m(2). Let b be (p - 1)*6\/18. Sort b, -4, -3 in increasing order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -839\/2 - -1679\/4. Let z(d) be the first derivative of -1\/5*d**5 + b*d**4 + d**3 + 2*d - 2 - 5\/2*d**2. Find x, given that z(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/36 and (-2)\/99*5133\/(-522)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.4 and 3.9575?\nAnswer: 3.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/2 or 59\/1446915?\nAnswer: 59\/1446915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (j + 19*j - 4*j)*(-j + j - j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d + 11*d**2 + 3*d)*(d**2 - 2*d + 2*d) + (-3*d - 4*d + 2*d)*(2*d**3 - d**3 + d**3) - 4*d**2 + 2*d**4 + 4*d**2.\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 4*u**4 + 15712*u**3 + 15063576*u**2 - 718054112*u + 8354325604 = 0.\nAnswer: -1987, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/2 and 59\/984330.\nAnswer: 984330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 77375, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 + 2. Let x = 8.04 - 13.04. Which is the smallest value? (a) x (b) 1\/3 (c) p (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -5*d**3 - 72*d**2 + 59*d - 67. Is z(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/(-4)*-3*1\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 12*u**2 - 157*u**2 + 12*u**2 - 91*u**2. Let i(x) = -2*x. Give i(l(o)).\nAnswer: 448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 3*d**4\/5 - 1842*d**3 - 335448*d**2\/5 = 0.\nAnswer: -36, 0, 3106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rk when two letters picked without replacement from {z: 7, k: 2, r: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 10*p - 670. Let l be n(68). Solve l*m - 103 = -63 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 143952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28513104*b**5 - 16499348*b wrt b?\nAnswer: -570262080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -9039360432 - -9?\nAnswer: -9039360423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of -19*l**3 + 109*l**2\/2 + l - 17. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-1\/3)\/m**4)\/((m*m**0)\/m**6))\/((((m*m*m**(-1\/4))\/m)\/(m*m**(2\/9)\/m))\/(m*(m\/m**1)\/m)**8) assuming m is positive.\nAnswer: m**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 6:04 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 158 + -154. Which is the biggest value? (a) -4 (b) m (c) 15 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1406*0.0177\nAnswer: 24.8862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q + 69. Let x be g(28). Let p be 2\/x - 4008\/(-360). Solve p - 1 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u. Let g be (6 - 4) + (-4 - -2). Let z(v) be the third derivative of v**2 + 0*v**3 + g*v - 1\/12*v**4 + 0. Determine n(z(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 13 - -2326071?\nAnswer: 2326084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 19*j + 155. Let r be q(-8). Suppose -502 = r*k - 2*u - 1545, 0 = 4*k + 5*u - 1429. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3643146.15 and -3?\nAnswer: 3643143.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3860\/39 + -296\/3. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 6 = -3*i, -4*i = -2*v + 6 - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 49, 13 in descending order.\nAnswer: 49, 13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*o + 40*o = 35. Let z(x) = -x**2 + 9*x - 4. Determine z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.9763 and 0.7?\nAnswer: -2.08341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 39752.17ns?\nAnswer: 0.03975217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (253*i + 16 - 6 - 10)*(-5 - 4 + 2) to the form d*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + f + 3)*(-2*f - f + 2*f) + ((3 - 5 - 2)*(-3*f + 4*f - 2*f) + (1 + 2*f - 1)*(3 + 4 - 5))*(-2*f - f + 5*f) to s + z*f + y*f**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -6*h + 4. What is the hundreds digit of p(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 + 4*y**2 - 2*y**2 - 4*y**3 - 3*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00141424 to 5 decimal places.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9751)\/(-217) + (-150)\/(-2325)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 12:02 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 - -9. Let j = -5 - -15. Suppose 5*x + 4*a + 32 = 0, -a = x - 2*a + j. Put i, x, -4 in increasing order.\nAnswer: x, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (24\/(-10))\/(18\/(-150)). Let f be (-36)\/(-24) - 26\/m. Let f*v**4 - 9\/5*v + 0 + v**3 + 3\/5*v**2 = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -519.37273 * -0.1.\nAnswer: 51.937273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*l**3 - 2 - 7*l**3 - 10*l - 2*l + 13*l - 7*l**3 + 3*l**2 to the form s*l**2 + j*l**3 + c + i*l and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2624*u - 3728*u = 68448 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 5*r - 6, 4 = -3*r + 7*r. Let g be 1\/3*0\/s. Suppose g*j - j + 329 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 93068, 186368, 279668, 372968, 466268?\n\"Answer: 93300*i - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 14 - 2 = 0. Suppose -2*s = o - 11, -m*o - s + 35 = -8. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -810708, -1621408, -2432104, -3242796, -4053484, -4864168, -5674848?\n\"Answer: 2*u**2 - 810706*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + 12*i**2 - 12*i + 5. List the prime factors of x(6).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3433 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-5)*3600\/(-288)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 582*s - 5817. Let i be z(10). Solve -4*b + 11 = i*r, 22 = 4*r + 76*b - 78*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 3*h + 11. Let o(q) = -3*q - 10. Let m(b) = 4*c(b) + 5*o(b). Let j(u) = u + 1. Let i = 161 + -160. What is i*m(k) + 6*j(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 3*n - 3 + 0 = 0, n - 11 = -5*z. Let x be (-4)\/z*(0 - 1). Let s(k) = -4*k**2 + 2. Let l(v) = -v**2 + 1. Calculate x*l(q) - s(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26, -30, -36, -44, -54, -66, -80?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = 263 - 263. Suppose -4*n = 15*d - 10*d + 20549996, -4*d + 2*n - 16440002 = s. Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.17574 to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 27 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1000 - -2221122?\nAnswer: 2220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16.3 + 16. Which is the second biggest value? (a) -0.05 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -4*x**2 + 9*x - 2. Give a(6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4417, 4395, 4353, 4285, 4185, 4047, 3865, 3633?\nAnswer: 3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -11*b - 3. Let g be t(-5). Suppose 0*a = 4*a - g. Calculate the remainder when 24 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1241516976 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: Is 146163131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 + -17. Let m = -0.0186 + 3.0186. What is the third smallest value in m, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14942*j**3*q*s**2 + 2*j**3*s**3 - 2*j**3*s + 1829*j**3 + 158466252*q*s**3 - q wrt s.\nAnswer: 12*j**3 + 950797512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1147*g + 118*g + 28 - 2401 - 2772 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -9*d - 540. Let i(b) = 8. What is -12*i(p) + r(p)?\nAnswer: -9*p - 636","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j - 4*d + 55, 4*j = -13*d + 17*d + 44. Solve 3*x + 11 = -j*n + 7*n, 0 = n - 3*x - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -3*l + 5, 0 = -7*l + 3*l - 2*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -750, -758, -766, -774, -782?\n\"Answer: -8*f - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 3*y. Let d be h(1). Let i(x) = 2*x - 4. Let v be i(d). Let w = -2.07 - -0.07. Which is the nearest to -2? (a) v (b) w (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 121, 594, 1869, 4348, 8433, 14526, 23029, 34344?\nAnswer: 48873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 341028 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 6 + 1)*(-2*x**4 + x**4 - x**4 + (2 + 3 - 6)*(2*x**4 + 4*x**4 - 2*x**4)) in the form n*x**2 + d*x**3 + o*x**4 + w*x + p and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8156\/34 + 14\/119. Suppose f = -4*k + 1562, k - 620 + q = 5*f. What are the prime factors of k?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/12 + (-1 - -4)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -2\/11, 0.4, -6\/77, 454\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.07 + 3.93. Let s = -3 - -8. Put 0, b, s in decreasing order.\nAnswer: s, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/1*(-2)\/(8\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 2*d + 414 - 1314, -2*b - 3*d = -600. What is the highest common factor of b and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in -2*p**4\/5 - 1500*p**3 - 9235536*p**2\/5 - 740326720*p + 22543903488\/5 = 0?\nAnswer: -1396, -964, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 3*a - 16. Let g be u(6). Suppose -3*z - 7 = -g*f, -2*f - 2 = z - 5. Is (f\/(-6) - 0)*-921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + (22 - 1) + (-11 - (-5 - (-7 + 3)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - 1 - (7 + -4 + (-4 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1711 - -1760. Solve 0 = 51*g - w*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n - 15 = 0, -230*n + 232*n = 4*i - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - 1\/(3\/(-129)). Suppose 0 = -50*r + y*r - 12. Put -5, 8, r in descending order.\nAnswer: 8, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*p - 125*p = 1691 + 1624 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (56 + 12*o**3 - 56)*(-3*o + 0 + 0).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 96043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 8. Let q = 9\/2 + -67\/14. Which is the nearest to -1? (a) r (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of 5*k - 16*k**2 - 3\/2*k**4 - 8*k**3 - 1\/10*k**5 + 0. Determine r, given that f(r) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2440 - -3710. What is w rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 956 divided by -28\nAnswer: -239\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 299 is divided by 142.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17.2 - 20. Let b = o + -0.2. Let a = 1 + 2. What is the smallest value in 0.1, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**3 + 106*d**2 - 90*d**2 + 0 + 1 to t + y*d**2 + k*d**3 + s*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -386784896465 - -0.2.\nAnswer: -386784896464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2\/45))**(-6\/37)\/(w**(-2)*w**(-5\/7)*w) assuming w is positive.\nAnswer: w**(6688\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02112 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*w + 15*w - 31*w + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 79895 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + y = 63. Let f = -15385 + 15390. Solve f*z - 2*u - 17 = 3, 0 = -3*z + 3*u + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -227 - -12aa9?\nAnswer: 12882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -13, -9, -5?\n\"Answer: 4*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 2. Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 5*x + 113 = -8*x, -482 = 4*u + 2*x. Let l = u - -124. Find the second derivative of -4*m**l + 3*m + 2*m**4 - m + 3*m - 3 + 6*m wrt m.\nAnswer: 24*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.05 - 0.25. Let z = 0.29 + -1.39. Let v = z - -0.8. What is the nearest to q in v, 0, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 AM and 11:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((-1*sqrt(88))\/sqrt(8) + sqrt(11) + (sqrt(11) - (sqrt(11) + (sqrt(110)*-2)\/sqrt(10)))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 - 2. Let m = b - -38. Solve m*z - 16 = 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 330 a factor of 16616490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 8. Let s = f + 2. Is -1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-16164.\nAnswer: -3232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -5 (b) 9 (c) -3293 (d) -3 (e) -689 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2\/97957 (b) -40\/11 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 38579 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of -3*f**2\/2 - 6. Suppose -4*m - 9*m + 624 = 0. Let k(q) = -12*q - 48. Let w(u) = -1. Let h(n) = m*w(n) - k(n). Give h(p(c)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 - 6*w - 14. Let l(b) = 1. Let s(z) = -z**3 - z**2 + 1. Let t be s(1). Let m(v) = t*c(v) - 6*l(v). Is m(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 708*n**2 + 4*n - 8793 with respect to n.\nAnswer: 1416*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*u - 43 = 5*w + 25*u, -5*u = -2*w + 29. Which is the second biggest value? (a) w (b) 23.6 (c) -5 (d) 0.1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1245*d**2*k**3 - 4*d**2*k**2 + 35*d**2*k + 530*d*k**2 - 2*d*k - d - k**3 wrt d.\nAnswer: 2490*k**3 - 8*k**2 + 70*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u*u\/(u*u**(-5)\/u))\/u)**(-44)\/((u\/u**11)\/u*u**(6\/11)))**23 assuming u is positive.\nAnswer: u**(-64147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 12*b**2 + 126*b + 190. Let m(w) = 11*w**2 + 116*w + 189. What is -13*m(p) + 12*u(p)?\nAnswer: p**2 + 4*p - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t + 0*t - 2 + 1. Let c(q) = -q**3 + 3*q**2 - 2*q + 1. Let w be c(2). Let h be ((-5)\/1 - -3) + w. Let k(i) = 1. Calculate h*p(d) - k(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 4*w + 2*w)*(-2*w**3 + w - w) + 5*w**4 + 5*w**4 - 3*w**4.\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -129 from 3.2.\nAnswer: 132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -62 or 0.1?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**2\/13 - 93180*n\/13 - 93178\/13 = 0 for n.\nAnswer: -46589, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m - m + 5*m)*(-89 + 109 - 236 + (1 + 1 - 3)*(1 + 1 - 4)).\nAnswer: -428*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000069 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -16 and 10265?\nAnswer: 10281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -305 - 2?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28436351.\nAnswer: 773, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the second derivative of d**5\/20 + d**4\/2 - d**3\/3 - 10*d**2 - 2*d. Let l be m(-6). Is (-14)\/l*(639 + -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x + 2*b - 147 + 35, 3*x + 4*b - 56 = 0. Solve x*t + 137 = 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7580.88ml to litres.\nAnswer: 7.58088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*s - 22*s + 13 - 12 - 26*s.\nAnswer: -89*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {v: 2, e: 3, s: 1, w: 3, d: 3, q: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5.87 - -0.87. Let w = -2 + 1. What is the third biggest value in w, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**1)**(-36)*(q**(-5\/4)\/q)\/q**(1\/4)*(q*q**(1\/2)*q)**(-1\/2)*q**(-4\/7)\/(q\/(q*q*q**0)) assuming q is positive.\nAnswer: q**(-1101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 29 divided by 2?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5311472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*z + 259 = -46*z. What is the remainder when 2098 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1132*q**2 + 1137*q**2 - 3403*q**2 + 1131*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from zzry.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r = 9*r + 4. Let t(d) = 2*d**2 + 4*d. Let s be t(r). Solve -2*y = -2*f + 14, 0 = -2*f + 2 + s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -248*z**6 - z**5 - 11*z**4 - z**2 + 10285 wrt z?\nAnswer: -29760*z**3 - 60*z**2 - 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 158\/(-627)*3 - (17 - 48)\/(-682)*-12.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - 7\/(-2))*4. Let r = 21 + -13. Suppose -2*d = -r - b. Solve -i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 402 (base 8) to base 2\nAnswer: 100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7506 is divided by 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 836 - 830. Let i(j) = 21*j**2 + j. What is the least common multiple of h and i(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.1, -1\/1353800, -1\/3?\nAnswer: -1\/1353800","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 16*n - 45 + 25 + 218*n + 25. What is the units digit of f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8229 - -8233. Solve 4*t - 28 = -2*k, 4*k = 7*t - g*t + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 - 2*v**2 + v - 6. Calculate n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 253888490 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -15, 15*b - f = 17*b - 475. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 15*m - 438. Give p(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -1\/9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 - 46*t - 469. Let a be f(-17). Suppose -6*j - 2*c + 70 = -j, 4*j = 5*c + 23. Calculate the highest common divisor of a and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-2\/3))**(8\/11)*(s\/s**(2\/5))**(-5))**47 assuming s is positive.\nAnswer: s**(-4277\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.29006515 - -0.29. Round v to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 973*m = 1068 + 4770 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -7*g - 72. Let i be f(-11). Suppose -5*u + 27 = -z - 7, -2*u + i*z = -9. What is the greatest common factor of 861 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/28*(-539)\/(-924)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 187443 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005854717 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 0, -4*f + 8 = 9*j - 11*j. Solve -4*t = f*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6)\/(-6*sqrt(12)) - (sqrt(128) + (sqrt(128) - -2*-2*sqrt(128))))**2 + 0)*4*2.\nAnswer: 36481\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.026? (a) -142 (b) -0.181 (c) -5 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 273, 272, 271, 270, 269, 268?\n\"Answer: -w + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 5720, 45917, 155034, 367535, 717884, 1240545, 1969982?\n\"Answer: 5744*m**3 - 4*m**2 + m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k**4\/3 - 278*k**3\/3 - 79442*k**2\/3 + 12056798*k\/3 - 19421480 = 0. Calculate k.\nAnswer: -204, 5, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 36241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fifty-one halves of a centimeter?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 180\/(-150)*(-10)\/(-12)*-2. Solve 2*n - 3 = -a, 7 = c*n + 2*a + 3*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 302946496 and 976?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 7*y + 11*y - 21 = 0, -5*y + 24 = -6*n. Let v = 0.2 - -0.8. Which is the closest to v? (a) n (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 60534 and 1458288?\nAnswer: 258116976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p = 0, 0 = o - 6*p + p + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o - 12*o = 164. Let x = -29 - o. What is x rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + 9*t**2 - 8*t + 2. Let g be o(8). Let c(l) = 15 - g*l - l**2 - 3*l - 17. Suppose 30*s + 133 + 47 = 0. Determine c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c - 5*c - 4*x = -3*c + 120, -1873*c + 8*x = -1874*c - 204 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20389 is divided by 6783?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -28*z**2 + 897*z - 32. Calculate r(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -3*a. Let y(s) = 13*s - 8944. What is y(o(f))?\nAnswer: -39*f - 8944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2244*j - 4909. Determine c(2).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -3 - 11. Let x = 11 - g. Suppose 4*q - 20 = 0, -3*q - x = 5*y - 29. Which is the nearest to -0.1? (a) -4 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 749868*p + 3 + 1 - 3.\nAnswer: 749868*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be 92\/7 - -1 - (-33)\/(-231). Solve -8*u - f = -15*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112222200122020021 - 12?\nAnswer: 112222200122020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000139805 to 7 decimal places.\nAnswer: -0.0001398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the second derivative of u**2 + 0 + 1\/6*u**3 + 2*u. Suppose -4*g = -8 - 4, 0 = 3*x - g - 12. What is n(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 13*o**2 - 20*o + 12. Suppose -i - 12*i - 201 = -58. Determine c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 197*z + 196*z + 188*z - 9 - 577*z.\nAnswer: 4*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i\/(i\/(i\/(i**(5\/2)\/i)))*i)**(-2\/149)*i**3\/(i*i*i**(1\/17)*i) assuming i is positive.\nAnswer: i**(-200\/2533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((36\/45)\/((-6)\/(-10)))\/(140\/(-90)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11748 and 36?\nAnswer: 35244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18 - 8) + -26 - -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1137307782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -227 + 231. Find o such that -10*o**3 + 3*o**v - 2*o**3 - 56*o**2 + 68*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*b**2*z**5 - 2*b**2*z - b**2 - 63933*b*z**5 - 71*z - 39 wrt z.\nAnswer: 40*b**2*z**3 - 1278660*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 112395 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: What is -4 + (0 + 0 - -6) + (-53 - -48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - (-14 + -4 + 27 + 58).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3336 is divided by 133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 1597*n + 43105. Give h(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1350, 2, -1718, -4 in decreasing order.\nAnswer: 2, -4, -1350, -1718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 15*c = -20*c - 3, -c = -5*r + 42. Calculate the remainder when 2132 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 306 is divided by (3 + -18)*(-10)\/(-80)*-8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1484*p**2 - 1530*p**2 + 3074*p**2 + (2 - 3 + 0)*(0 + 0 - 2*p**2) + 4*p**2 + 0*p**2 - 2*p**2 + (-3*p**2 + 3*p**2 - 2*p**2)*(4 + 1 - 3).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7\/3706 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 13585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*h + 3 = 28*h. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -400 + 421. Which is the biggest value? (a) u (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4206402 (base 7) in base 16?\nAnswer: 7ba62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3782, 7575, 11374, 15179, 18990, 22807?\nAnswer: 26630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 38916 and 5244.\nAnswer: 739404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-30))\/(((-6)\/(-4))\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 94 and -24.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -2152195.\nAnswer: -3\/2152195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 12608 = 4*i, 27*f = 25*f + 5*i + 5067. What is the remainder when f is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27 + -17. Calculate the least common multiple of 22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 584696839?\nAnswer: 227, 2575757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 19*n + 8. Determine s(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 10.61 times 5.68\nAnswer: 60.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -7*u - 3*u - u + ((-4 + 2 + 4)*(-2 + 3 - 3) + 0 + 1 + 1 + 1 - 1 - 1)*(3 - 3*u - 3) as z + a*u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c - 2. Let j be m(4). Let y = 3 - j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (158\/(-6)*-3 - -4) + -4. Differentiate -31*s + 2 + d*s + 41 + 110*s - 20*s with respect to s.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 239721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 9*d**2 + 7*d. Let l(x) = -2*x**3 + 13*x**2 + 10*x. Determine -5*l(k) + 7*s(k).\nAnswer: 3*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + ((-108)\/(-15) + -73 + 67)\/((-762)\/(-645))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 8 + -19 - -21 - (60 - 5)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 11, u: 7, t: 2}. Give prob of picking 2 t and 1 u.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 12 = 2*h + q, 0 = 2*q + 8. Suppose h*d = -3*d. Suppose -21 = -3*y - d*y. Solve 3*c - y*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 83\/510 + -1\/34. What is the biggest value in -2\/9, 12, r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*x + 3*x**3 - 2*x)*(1 - 1 - 2) - 5*x**3 + 6*x**3 + 11*x**3 + (0*x**2 - 4*x**2 + 3*x**2)*(-2*x + 3*x - 2*x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - 0. Let h(y) = -y**2 + 10*y - 12. Let j be h(8). Suppose -j*m - 2 = 18. Which is the nearest to -0.1? (a) m (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**2 - r - 2. Let c(m) = -6*m**2 - 5*m - 11. Let a(n) = 5*n**2 - 273*n - 112. Let j be a(55). What is j*c(p) + 11*d(p)?\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 AM and 12:20 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -8 + 3 + -1 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 522211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -601*y + 2932 - 14072 = -48*y + 17616 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w**2 + 11245 + 11243 - 44984 + 11248 + 11248.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8 - 4. Suppose 3*n = -l + 69, 4*n = -8*l + 6*l + 94. Let m = n + -27. Sort m, 5, d in decreasing order.\nAnswer: 5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -130.5621 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyhyjqqrqqqqyqjr. What is prob of picking 1 j and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002912 rounded to 7 decimal places?\nAnswer: 0.0000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q\/(q\/q**(-10\/13))))*q)\/q)\/(q*q**(-21)\/q) assuming q is positive.\nAnswer: q**(263\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 + 8*b - 11. Let n be h(6). Let j be (-8)\/(-6) + 2\/3. Suppose j*v - 35 = n. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8538.00046765 + 8538. Round p to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -79 + 79 + 37*h**2.\nAnswer: 37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2737, -5521, -8307, -11095?\nAnswer: -13885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1125 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + k + 0 = 4, 0 = -i - 4*k + 16. Let m = 13.93 - 14. Let d = m - -4.07. Which is the second biggest value? (a) -4\/7 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 6007925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2799*c = -75651 - 139872 for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -6*a**2 + 16*a + 16. Let s(b) = b**2 - 3*b - 3. Let y(z) = 3*m(z) + 16*s(z). Let v(g) = 10*g**2. What is v(y(d))?\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -12, -12, -10, -6, 0, 8, 18?\n\"Answer: w**2 - 3*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u. Suppose 2*g + 4*g + 6 = 0. Let m(a) = -4*a + 1. Give g*m(t) - 6*f(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4746, -5428, -6564, -8154, -10198, -12696?\nAnswer: -15648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 16*n**4 - 478*n**3 + 2*n - 14*n**4 + 16*n + 500*n**3 + 38*n**2 = 0. Calculate n.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 433 a factor of 280151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 228\/112 + (-6)\/(-3) and 11\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100000001101000001000 - -101100?\nAnswer: -100000001100111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q**5\/9 - 28*q**4\/3 - 238*q**3\/3 + 70108*q**2\/9 - 268096*q\/3 + 81664 = 0 for q.\nAnswer: -29, 1, 22, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 7*d - 24 - 5*d - 16 - 4*d. Let h be r(-21). What are the prime factors of (h\/2)\/((-1)\/(-21))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 168 by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -57236.3275 rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 12.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 39183*j**2 + 155*j + 158. Does 109 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11)\/(-55)*(-17)\/((-408)\/(-140)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3165, -2422, -405, 3522, 9995, 19650, 33123, 51050?\nAnswer: 74067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -5*s - p + 4*p, -4*p + 16 = 0. Find the common denominator of ((-1)\/(-4))\/(22\/84) and (-2)\/s*174\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2021 and 188.\nAnswer: 8084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 111 + 112 - 223 + 2*d**3 + 82*d**3.\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 30 = 2*u, 3*q + 51 = 6*q - u. Suppose 0 = o - 4*o + q. Calculate the remainder when o\/3*4*5 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -1\/5, 124, 0.2, -2\/5, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1355*q**5*z - q**3*z - 2*q**2*z + q**2 - 2*q*z - 113093*q + 4*z wrt q.\nAnswer: 27100*q**3*z - 6*q*z - 4*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the first derivative of -1\/3*z**3 + 5*z - 1\/2*z**4 + 5\/2*z**2 - 3. Let d(c) = 3*c**3 + c**2 - 7*c - 7. Calculate -5*d(w) - 7*t(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-2 + 4)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*s - 5*f = -20*s, 3*s + 6*f - f = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c. Let v be y(4). Let p(b) = 3*b**2 - 22*b + 6. Let i be p(7). Put 3, v, i in decreasing order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8\/55 in 14, 0.3, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -95.86 + 92.86. What is the third biggest value in 17, 0.5, -0.01, m, -3\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 34, 31, 28, 25, 22?\n\"Answer: -3*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -21*a**2 + 2*a - 39. Let q(v) = 118*v**2 - 11*v + 193. Calculate 11*c(f) + 2*q(f).\nAnswer: 5*f**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -467\/6 + 78. What is the biggest value in t, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 9\/5, 4, 2\/15, 5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 14\/(-21)*3159\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i + 48. Let z be f(-14). Suppose 3*v + 7 = -x - z, -x = -v + 41. Let w = x + 41. Solve -5*r + 5*u + 24 - 4 = w, -10 = -3*r + 5*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 631056 divided by 3?\nAnswer: 210352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (19 - -1) + (-10 - 25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {g: 2, y: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/5 - 615*y + 76680.\nAnswer: -(y - 120)*(y + 3195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**4 + 7*t**4 + t**4 + (-t**3 + 8*t**3 - 6*t**3)*(-2*t - 1 + 1) + (t**3 + t - t)*(t - t - 2*t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -5*c - 3 + 2*c + 4*c. Determine z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -51 by -48.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13652061.\nAnswer: 3, 151, 30137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -3*d**2 - 6*d + 114. Let u be k(-7). Is -3 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v + 0 + 3*v - 8 + 0. Let c be w(6). Solve 0*m = -m + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = 189 - 153. What is the greatest common factor of 48 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -175 - -188. Let y(c) = 4*c**2 - 28*c + 1. What are the prime factors of y(h)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.27 less than -0.0329?\nAnswer: -0.3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is d1ab3 - 1?\nAnswer: d1ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -41355421 (base 6) to base 4.\nAnswer: -10210112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, l: 2, d: 1, i: 1, e: 2}. Give prob of picking 2 l and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1028*r + 18 = 1034*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 189 and -0.095504.\nAnswer: -18.050256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 12 - 15 = -2*b, -5*h = -15. Let v(u) = -4*u**2 + u - 3. Let i(k) = 5*k**2 + 4. Determine b*v(d) + 5*i(d).\nAnswer: d**2 + 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**3 + 11644*a**2 - 495940*a + 484292.\nAnswer: 4*(a - 41)*(a - 1)*(a + 2953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2140 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1 - -3 - (19 - 17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 259\/(-2590)*4\/((-16)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -7*x - 34. Let v(b) = 7*b + 7. Let p(q) = 20*q + 20. Let k(i) = 6*p(i) - 17*v(i). Give k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -149829 by -4.\nAnswer: 149829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 16064164151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -51015 bigger than -51015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - 2662?\nAnswer: -2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the second derivative of r**3\/6 - 3*r**2\/2 + 5*r. Suppose -v = 4*w - 35, 3*w = -2*w + 3*v + 48. Let a be m(w). Solve u - 3*u = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 3832196 and 19160987\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*k**6 - 231309 - 203*k**5 + 2285*k**2 - 8*k**6 + 231309 + 38*k**5 wrt k.\nAnswer: -1320*k**3 - 9900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 14*p**3 + p - 1. Let x(k) = k**2 - 5*k + 1. Let m be x(5). Suppose -3 - m = -4*u. Is a(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -113, -124, -143, -170, -205, -248?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 0*s**2 + 2 - s**2 + 2*s**2 - 3*s + s**2. Let m be t(2). Suppose -32 = -m*d + 64. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 5*g**2 + 3*g - 1. Determine r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 10*s. Let p be d(-1). Let r = 12 + p. Determine l, given that -18\/7*l**4 + 8\/7*l**3 + 0*l - 18\/7*l**5 + 0 + 8\/7*l**r = 0.\nAnswer: -1, -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*d - 1 + 1)*(2 - 4 + 1 + (1 + 0 + 0)*(-4 + 4 - 1) + 0 - 4 + 2 + 11 + 55 - 35)*(5 - 2 - 1)*(4 - 1 - 4).\nAnswer: -1026*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 - 0.3. Let z = -0.77 + 4.77. Sort j, z, -0.2 in increasing order.\nAnswer: -0.2, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kn when two letters picked without replacement from {v: 1, o: 6, k: 3, e: 3, n: 1, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 17 = 3*p, 138*j - 16 = -p + 135*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 3*y = 21, -2*u - 2*y = -0*y + 6. Suppose 0 = b + 1 - u. Let v(h) = -h**2 + h**3 - 2*h**2 + b + 4*h**2. Calculate v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/(-3315)*(-1815)\/726\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 455 or 0?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(78)*-3)\/(sqrt(6) + sqrt(30)\/sqrt(5)*-2) - (sqrt(117) - -1*2*sqrt(117))\/(1*sqrt(9)*-1).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**16)**(-47) assuming z is positive.\nAnswer: z**(-752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**4 + 48*g**3 + 144*g**2 + 128*g.\nAnswer: 4*g*(g + 2)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1438 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 31*u. Let b = 13 - -7. Let t(r) = 75 - 22*r + b*r - 75. Calculate t(p(l)).\nAnswer: -62*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the third derivative of q**4\/6 - 13*q**2. Let s(p) = 88 + 7*p - 88. Calculate s(l(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {o: 3, j: 4, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 226\/25 (b) -1\/2 (c) 1\/19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -801 and -112.38?\nAnswer: 90016.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*w - 515 = -75. Let t(f) = -5*f. Let u be t(-1). Solve u*m + w = l, 2*m - l + 10 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 34261641*m - 111315017?\nAnswer: 34261641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((4374\/45)\/9)\/(-2) + (10 - 5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1110200 by 1586.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -80*s - 4*v + 1296, -3690*s + 3693*s + 4*v = 64 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -233983279*b*z + 15317775*b wrt z.\nAnswer: -233983279*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 482 and 2885493?\nAnswer: 5770986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c + 49 - 69 = 0. What are the prime factors of (1869\/(-15))\/(((-6)\/15)\/c)?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 AM and 2:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-329)\/(-539) + 6\/(-14). What is the second biggest value in i, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1903382086 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -1 - 2) + -5 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 9*p - 9. Let c(y) = -10*y**2 - p*y + y + 9*y**2 + y. Let w(k) = -4*k**2 - 7*k. Let j be ((-3)\/(-2))\/(3\/(-4)). Determine j*w(f) + 7*c(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -70053+-0.2363317\nAnswer: -70053.2363317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 340499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -468*z + 17. Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bpbbbpbbpppbbbbbbb. What is prob of picking 4 b?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1140 and 5540495?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 187121492 to the power of 1\/2, to the nearest integer?\nAnswer: 13679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(-2)*-4 - 1. Let j be 155\/(-93) + 5\/3. Put -4, j, n in descending order.\nAnswer: n, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 177890098 is divided by 35578018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 525 = p + 3*c, 18*p - 2697 = 13*p + 3*c. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**3 - 89*q**2 - 186*q + 2140. Give g(91).\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1293 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: 0.12 * -184\nAnswer: -22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.37 + 4.1. Let u = v - -0.87. Let r = 270\/11 + -24. Sort -0.3, -2\/23, u, r in increasing order.\nAnswer: u, -0.3, -2\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -11, -1\/6, -1\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 2 = 0, -4*s + 12 = -2*s + 5*p. Is s at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**2 - 4*c**2 + 12*c - 9*c)*((-32 - 2*c + 32)*(-c - 2*c + 4*c) + 1 - c**2 - 1).\nAnswer: 15*c**4 - 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*y - 20*y - 14*y + 17*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 54\/5 of a second?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**4\/3 - 18*s**3 + 355*s**2\/3 - 100*s.\nAnswer: -s*(s - 5)*(s - 1)*(s + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -45*g + 1221. Let w be o(27). Which is the biggest value? (a) 2 (b) w (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 10:50 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0026512823 rounded to five decimal places?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -40*k. Let w(i) = 4*i**2 - 12*i - 12. Let v(s) = -2*s - 2. Let h(z) = -6*v(z) + w(z). Calculate h(j(d)).\nAnswer: 6400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 424209280 to the power of 1\/3, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-856)\/1819*(-119)\/70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -115856 - -809048\/7. Which is greater: -277 or x?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pffsp. Give prob of sequence fs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4.75 + 8.75. Which is the smallest value? (a) 1\/4 (b) j (c) -0.01 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**2 + 64*m + 28. Let f be w(13). Let a = -688 + f. Solve -2*l - h = a*h + 10, l = 3*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.4425 - 0.0845. Let q = -1.61 - b. Let h = q - -0.08. Round h to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*p = 24*p + 8. Suppose 3*r = -p*r + 6575. Let d = r + 486. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -130.282 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 105 - (-1435)\/(-37 + -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 661361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1004437 divided by 7.\nAnswer: 143491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*l + 6*l - 9. Let o(y) = 10*y + 5. Let k be o(l). Let c = -23 - k. Solve 0 = -c*f + 3*i - 8, 2*f + 4*i = 4*f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 1. Let p(o) = o**2 + 3. Let b(r) = p(r) - 3*v(r). Let m(f) = 45*f**2. Calculate b(m(l)).\nAnswer: -4050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37 + -23 - (-23 + 20 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -7, -38, -89, -160, -251?\n\"Answer: -10*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(1\/5)*k)\/(k*(k*k**(2\/23)\/k)\/k)*k**(-5)*k*k\/k**(2\/11) assuming k is positive.\nAnswer: k**(-1352\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 446 - 3*k**3 - 898 + 451 - 40*k**2 - 430*k**2 + 186*k wrt k?\nAnswer: -18*k - 940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/44 - 67\/44. Is 16\/9 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 5*w. Let c(m) = -m**2 + 3*m - 11. Let a be c(3). Let n = 35 + a. Let v(x) = n*x**2 - 18*x**2 - 9*x**2. Give v(j(p)).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 10*j**3 - 5*j - 11. Let z(i) = -11*i**3 + 4*i + 9. Calculate -4*a(q) - 5*z(q).\nAnswer: 15*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the third derivative of 0*c - 1\/30*c**5 - 1\/3*c**3 + 1\/120*c**6 + 2*c**2 + 0 + 1\/6*c**4. Is x(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 45482 is divided by 950.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(-1\/3))\/(g\/g**(-3))*(g**(-2\/5))**(-45)*g**(-6)\/g**3*g**(-1\/3)*g**(-1) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -120.1 * -7.6.\nAnswer: 912.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y**(-2)*y)*y\/(y\/y**10))\/(y**(-4)*y\/(y*y**(7\/2)*y)) assuming y is positive.\nAnswer: y**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -13433*v + 13441*v + 4*k, 3*k = -2*v - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 3138*k + 269906. Calculate z(-86).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 6 - 11*g**2 + 4*g**2)*(0 + 7 - 4)*(8 + 3 - 1).\nAnswer: -210*g**2 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.026203*302.\nAnswer: -7.913306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 3962.903 millilitres?\nAnswer: 3.962903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12637232.\nAnswer: 2, 797, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 1 - 5. Suppose 14 = 3*c + u. Solve 0*f = c*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i*i**(1\/12)*i*i*i*i**6*((i\/(i**14\/i)*i)\/i)\/i**(16\/7) assuming i is positive.\nAnswer: i**(-269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 826411.5 nanoseconds?\nAnswer: 0.00000022955875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/(-18))\/((-4)\/(-6))*(-76636)\/(-138). Which is smaller: 186 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 9*i**3 - 5*i**2 - 23*i + 6. Let a(t) = 8*t**3 - 4*t**2 - 22*t + 5. Calculate 6*a(u) - 5*n(u).\nAnswer: 3*u**3 + u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15433 - -19938. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*b**3 + 53830325*b**2 + 144885221395440*b + 144885167565120.\nAnswer: 5*(b + 1)*(b + 5383032)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 422228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28481, -56948, -85415, -113882, -142349?\nAnswer: -170816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 5623 (base 8) to base 7\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x + 52 = 0, b - 12*x - 234 = -74 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 13*g + 276 = -2*g, 31*q + 0*g - 21 = -3*g - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 40546 and 167618.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10500, -21031, -31560, -42087?\nAnswer: -52612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -103929038220 - 0.1.\nAnswer: -103929038220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 372 and 3912.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 3123334 (base 5) to base 3\nAnswer: 2121221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xnxjfxxjvjbx. Give prob of sequence bv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 15, 54, 115, 192, 279, 370, 459?\n\"Answer: -z**3 + 17*z**2 - 5*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-28)\/k**(1\/13))**49)**(-50) assuming k is positive.\nAnswer: k**(894250\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -4, -0.4, -0.03, 0.4, -214?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 99074 is divided by 327?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -25*q**2 + 375*q - 146. What is the least common multiple of 408 and c(14)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -456 = 4*b + 2*b. Let r = b - -131. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 0 - 3. Let q(r) = 0*r**2 + r**2 - r**j - 3*r + 3 - 4. List the prime factors of q(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 9*a**3 + 3*a**2 + 118*a - 121. Calculate g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**2\/2 + 53877*o\/2 - 53883.\nAnswer: 3*(o - 2)*(o + 17961)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1553672023 to the nearest integer?\nAnswer: 39417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) 0.028 (d) -2 (e) -4\/3 (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0*-6.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 335.4 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -324430 at most as big as -324568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 11\/5 + 1\/(-5). Suppose -p*j + 45 = -i, -4*i + 7*i + j = -135. Let a be 18\/i*(-1)\/7. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 - 10*o**2 - 6*o + 17. What is x(3)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from oooddodo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 + 3 - 2)*(0 + 0 - t) + 1 - 1 - t)*(-3*t + 5*t - 3*t - 3)*(-10 + 10 - 9*t**2) to the form d*t**4 + y + w*t + v*t**2 + x*t**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1)\/l)**(4\/23)\/((l\/l**6*l)\/(l*l**(-3\/5)*l*l))*(l**(-4)\/l**(1\/17))\/(l**(-2)\/l*l**2) assuming l is positive.\nAnswer: l**(5852\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjdj when four letters picked without replacement from jrjzzjjdrzjjjrrrzj.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be 50 + ((-2)\/(-4) - 20\/8). What is the greatest common divisor of r and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2211 - 1000?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of 6*k**7\/7 + 7*k**3\/6 - 45*k - 20. Let n(c) be the first derivative of s(c). What is the second derivative of n(t) wrt t?\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41710 divided by -20855.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zbnsuubnuunooss. What is prob of picking 1 s, 1 o, and 1 n?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + 4. Let l(u) be the third derivative of u**5\/60 - u**4\/3 + 3*u**3\/2 - u**2. Let k be l(7). Solve -k*s - 5*m = 2*s, x = -s + m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -1055?\nAnswer: 2\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 387*t + 17420 = 157*t - 105*t for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132104 is divided by 425.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 201061345 or 201061343?\nAnswer: 201061345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 705*a**2. Let p(k) = 2*k**2. Calculate p(f(l)).\nAnswer: 994050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -349*h + 346*h + 6. Suppose -3*i + 529 = -2*f, -h*i + 457 = 4*f + 99. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(4 + sqrt(684) + 1 + sqrt(684)).\nAnswer: 25 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5831, 2, -193 in decreasing order.\nAnswer: 5831, 2, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - -101133220?\nAnswer: 101133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -181, -177, -163, -133, -81?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 77*z - 5480 - 44*z - 44*z + 5458.\nAnswer: -11*z - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 247 - 246. Sort 3, 6, b in descending order.\nAnswer: 6, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ybcuyuyvyocu. Give prob of sequence cc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 81 = 3*y, u = -3*y - 10 + 37. Let w be (1 + 5)*(-3)\/2. Let a = u + w. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-4*3*sqrt(66))\/((sqrt(18) - (-3*sqrt(18) - sqrt(18)))\/sqrt(3)).\nAnswer: -12*sqrt(11)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-4162)\/(-10) + 84\/(-420) is divided by 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*r - 2*r. Let v be r\/(-1 - 0) - -35. Suppose -y + v = 2*a - 6, 3*a = 3*y + 69. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 21 + 41?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21 - -34. Solve 3*f - 24 = -f + 2*q, -f + 4*q = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 232 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-60)\/16 + 3)\/(6\/(-83)) and 75\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 + -5)\/6*-229 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -194*m**3 - 110976*m**2 - 15873000*m - 654368 = 0 for m.\nAnswer: -286, -4\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (1 - 1 - (0 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h + h - h**4)*(-355 - 142*h - 138*h + 279*h).\nAnswer: h**5 + 355*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17*x**2*z - 24*x**2 + 116*x*z**3 + 2*x + 20680*z**3 - 43*z**2 wrt x?\nAnswer: 34*x*z - 48*x + 116*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 582, 4\/9, -7, -4 in ascending order.\nAnswer: -7, -4, 4\/9, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be -8 - ((-960)\/10)\/8. Solve -t*f - 68 = 13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9 + 2*4\/(-8). Let k(b) = 599*b - 27. Let d be k(j). Suppose -7*z + 2*z + d = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 1295134.\nAnswer: 6475670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -56753*r**2 - 294*r - 118?\nAnswer: -113506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 5*h - 3 - 3 = 0, 5*w - 3*h = 2. Is 1\/6 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8783 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-4)\/(-25)) + -8*(-21)\/28.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - x = -h + 12, 5*h = 5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 8*k**4 + 85*k**3 - 189*k**2 + 91*k - 5. Let a(q) = -q**4 + q**3 + q + 1. Let o(f) = -5*a(f) - t(f). Factor o(n).\nAnswer: -3*n*(n - 1)**2*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of u**4\/2 - 7*u**3\/3 + 2*u - 2. Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = x + 5*s + 6, -3*x + 8 = -4*s. Solve 0 = -4*i + 3*p - 5 + 24, x = -5*i - p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 550418 is divided by 2176.\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(112) + 0 - sqrt(112))*5 + 3*(sqrt(700) + 2) + 2).\nAnswer: 48 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166*l + 120 = 164*l. Do -17 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6158818271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 658*u + 93 = 661*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 156 = 4*h + n, 3*h + 1311*n - 1307*n = 130 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-10)*j)\/j)**(7\/2)\/((j*j\/j**(-7\/6))\/j*j*j\/(j*j**(1\/11))) assuming j is positive.\nAnswer: j**(-2513\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/108 and 2275\/(-126)*(-2)\/30?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -380 = 27*c - 65*c. Suppose 0 = -c*b + 10170 + 3870. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u - 3*u - 2*u)*(u**4 - u**4 - u**4) + 6*u**5 + u**5 - 4*u**5 - u**4 - 2*u**5 + u**4 + 11*u**5 - 7*u**5 - 2*u**5.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + 97?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, j: 4, z: 5, k: 9, s: 1}. What is prob of picking 2 j?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.99 - -0.49. Sort 0.2, 1\/10, b in decreasing order.\nAnswer: 0.2, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -85, 3, 4 in decreasing order.\nAnswer: 4, 3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**2 + 28*b - 119. Let j(f) = f**2 - 2*f - 76. Let x be j(11). Let u be w(x). Sort u, 4, 6, -7 in ascending order.\nAnswer: -7, u, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 5396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of 13\/120*b**6 + 0*b**5 + 0 - 6*b**2 - 1\/4*b**4 + 0*b + 0*b**3. What is the second derivative of c(n) wrt n?\nAnswer: 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -4*a**2 + 9*a + 3*a**3 + 7*a**2 + 2 - 11*a. Let c(h) = 16*h**3 + 16*h**2 - 11*h + 11. What is 2*c(x) - 11*d(x)?\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y**2 - 2*y**2 + 4*y**2)*(5*y**2 - 4*y**2 + y**2) + (-y + 2*y + 2*y)*(-3*y**3 - 2*y**3 + y**3).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 55*f - 2 + 2. Suppose 5*n = o + 11, 3*n + 3*o - 2 = 1. Let t be v(n). What is t rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.21 * -0.697.\nAnswer: -0.14637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -0.4 (c) 0.8 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-8)\/10 - -2)*-5. Let c(k) be the second derivative of -k**3\/3 - k**2\/2 + 4*k. Is c(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320.6035 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -n - n + 2, 0 = 4*t - 2*n - 16. Let h(w) = -5 + w + 2*w + t. Is h(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84355?\nAnswer: 5, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -191 + 181. Let z(n) = 3*n**2 - 23*n + 12. Let m(o) = 5*o**2 - 35*o + 18. Suppose 15 = 2*r - 1. Let p(j) = r*z(j) - 5*m(j). Give p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 + 2. Let j be x(0). Suppose -4*h + 2*g + 46 = 0, 0 = 2*h - h + 4*g - 7. Suppose 2*u - h = -3*p + 3*u, -j*p - 5*u = 4. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 69\/138 + 10\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -3*s, 8*s - 24 = 6*m - 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16577700443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -26 (c) 2\/9 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-5)*-6)\/((-6)\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-17 - 2) + (79 - (1 - -15))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/177193 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -295817.623 - -295679. What is i rounded to 0 dps?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r\/r**(2\/7))\/r)**(-4\/17))**(-3)*(r\/(((r\/r**(1\/2))\/r*r)\/r))**(-50)*r**(1\/2)\/(r\/r**(-5)) assuming r is positive.\nAnswer: r**(-19039\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -53\/52 + 10\/13. Suppose 2*g + 4*a - 3 = 3, -5*a + 10 = 3*g. What is the closest to 0 in -12\/7, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 5*o**5 + 2150*o**4 + 111785*o**3 + 1443960*o**2 - 3231900*o + 1674000 = 0.\nAnswer: -372, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-770*s + 1237449 - 1237449)*(4*s - 4*s + 3*s).\nAnswer: -2310*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.2 and -0.53?\nAnswer: 0.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-20*b - 105 + 105)*(-10 - 8 - 6) as c + d*b and give d.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 34633.68 centuries?\nAnswer: 41560416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:15 PM and 7:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1840 divided by -10.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 608896.6nm in meters?\nAnswer: 0.0006088966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 32 by -115255.\nAnswer: -32\/115255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.014 - -0.086. Let y = d - 1.1. Do 1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -0*d + 45. Suppose -17381 = -d*b - 5024. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 8536957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 + 1731*q + 27950. Let x be w(-16). Let r = 5 + 0. Sort r, x, 0.2, -12 in increasing order.\nAnswer: -12, x, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -88517, -177028, -265539, -354050, -442561, -531072?\n\"Answer: -88511*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1\/2)\/((-27)\/(-1319166)).\nAnswer: 3, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(0 + (-5*(sqrt(119) - 4*sqrt(119)) + sqrt(119))\/(-4*sqrt(63) + sqrt(63) - sqrt(63))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3026 and -661.83?\nAnswer: 2002697.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 64652 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o + 12. Give d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-3)*x*x\/x**(-2))**(1\/37) assuming x is positive.\nAnswer: x**(1\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -2*c**4 - 16*c**3 - 14*c**2 = 0. What is c?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 102 + -80. Suppose -7*r + 145 = g*r. Let n(s) = s**2 - 3*s. Calculate n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*h**5 + h**5 + 3*h**5 + 4 - 4 - 2*h**5 + (-1 + 1 + h**2)*(-4*h**3 + h**3 + 2*h**3) + 3*h**3 - h**5 - 3*h**3 - 4*h**4 - 2*h**5 - 20*h**4 + 3*h**4.\nAnswer: -5*h**5 - 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 - 12*h**5 - 123*h**3 - 86251*h**2 + 0 - 45*h + 7 + 63*h**4 + 86362*h**2 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of 3*a**5\/10 + a**4\/4 - 2*a**3 - 9*a**2\/2 + 12*a. Factor y(v).\nAnswer: 3*(v + 1)**2*(2*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1565*l**3*q**6 - 608*l**3*q - l**2*q**2 wrt q.\nAnswer: -187800*l**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is b in 3*b**5 - 6333*b**4 + 4460535*b**3 - 1051182543*b**2 + 2084573562*b = 0?\nAnswer: 0, 2, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 4*g + 86 = 0. Let u = g + -81. Solve 0 = -s - m + 2 + 2, 0 = u*s + m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c + 307. Let q be (-3)\/(-6)*0\/1. Is v(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4502094, 9004192, 13506290, 18008388?\n\"Answer: 4502098*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**4*w*w\/(w\/(w\/(w*w\/(w*(w*w**(-4)\/w)\/w*w))))*w*((w\/(w**(4\/7)*w))\/w*w)**(2\/35))**(8\/9) assuming w is positive.\nAnswer: w**(3856\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) 7.1 (c) -53560\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 20 - 21)*(1 - 2 + 3)*(8 - 1 - 10 + x + (-2 + 2 + 1)*(-1 + 1 + x)).\nAnswer: -112*x + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -3*h**2 + 9*h + 8. Let u be k(4). What is the units digit of (-1032)\/(-14) - -2*u\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v**(-14)\/v)*v**(2\/37) assuming v is positive.\nAnswer: v**(594\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*24.8.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1635 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 52791\/7 - 7544. Which is the third biggest value? (a) 3\/4 (b) -2 (c) w (d) -1 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 5*u**2 - u - 9. Determine i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 972857 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 1 + (-3 + 4 + 6)*(4 + 1 + 0))*(3*s - 3*s + s**3).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/2*0 - (-20)\/210.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -1157*s - 10402. Determine y(-10).\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4927?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 2*m - 5. Let k be j(5). Suppose -2*w - 424 = -k*z, 4*z + 4*w = 257 + 71. List the prime factors of 4\/2 + z\/7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -21.2 - -21. Let c = 0.07 - -2.93. Let s = c + -2.8. What is the third biggest value in p, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10561\/22 - -481. Find the common denominator of 482\/24 - (-2)\/(-6) and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -57 - -91. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c + g + 74 = 4*g - 2*g, 17*g + 32 = -2*c + 120 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 100281767*q = 100281650*q + 702 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -635a9 + -1da?\nAnswer: -637a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -469 != -476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1\/9)\/((-42)\/(-210)*40\/6). Let p(b) be the second derivative of -1\/2*b**3 + 0 - b**2 - c*b**4 - 21*b. Give p(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 614949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 312020 (base 4) to base 8.\nAnswer: 6610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -3*h**2 - 49*h - 12. Let g be d(-16). Factor -6*u**3 - g*u**4 + 16*u**2 + 94*u + 3*u**5 - u**5 - 52*u - 50*u.\nAnswer: 2*u*(u - 2)*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the second derivative of -t**6\/30 + 3*t**5\/20 - t**4\/12 - t**3\/2 + t**2 - 14*t. Determine d, given that y(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 8 + 13)*(0*j - 3*j + 2*j) - 10 + 6*j + 25 - 16.\nAnswer: -10*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 10:12 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence msd when three letters picked without replacement from kmkusbd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from thttttvtttt. Give prob of sequence th.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1104 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the third derivative of -13*v**4\/12 - 41*v**3\/2 - 93*v**2. Let a be p(-5). Let y(h) = 4*h - h - 4*h. Calculate y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*i = 6*i + i - 136 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 3*s - s = 8, -5*h - 4*s - 8 = 0. Suppose h = -5*r + 7*r - 34. Let j = -9 - -27. Is j > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*u + 12*u**2 - 21*u**2 - 5*u.\nAnswer: -9*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tdmm when four letters picked without replacement from ldmmdttmmwmd.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6 or 32\/5?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18687306875\/201 - 92972061. Let g = j - -385. Are 1 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 4*u - 470545 + 470683 = 0, 7*g = -3*u - 322 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3112*w - 1842.\nAnswer: -3112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-14))\/((216\/(-39))\/(68\/((-118456)\/1407)))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/5624 and 15\/1935248?\nAnswer: 36769712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 110683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8005 and 28770.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -555 (base 9) in base 7?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1375295 from 0.01.\nAnswer: 1375295.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4003477564 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*o - 47*o + j = 8, 2*j = -2*o - 20 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/6 - (-10)\/(-3). Sort t, -2\/13, -1\/4 in descending order.\nAnswer: -2\/13, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -55? (a) -4 (b) 252 (c) -5\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 407894 - 407899. Let l(f) be the third derivative of -f**5\/40 - 3*f**4\/8 + f**3\/3 + f**2. Let a(o) be the first derivative of l(o). Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -5*h**3 - 8*h**2 + 4*h - 5. Calculate p(-4).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43\/12578 not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 - q. Calculate y(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 2*u - 157*u**2 - 157*u**2 + 312*u**2 in the form q*u**2 + i*u + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + r + 17 = 0, 179*t - 180*t = 2*r + 4 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 956 + 1766. What is the smallest common multiple of w and 8?\nAnswer: 10888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r*((r*r**0)\/r)\/r)\/r)\/r*r)**(-8\/9)\/(r\/(r\/r**0))**(-5)*(r\/(r\/r**(4\/3)*r))\/r**(2\/5)*r**(-5)\/((((r*r**(-3\/2))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 take away 0.25?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 25\/8 (b) 14 (c) 4.35 (d) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.01 - 0.06. Let x = 0.19965 - 0.25. Let b = x - a. Round b to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - 7*w**2 - 4*w + 2. Let t be s(-6). Let b(j) = -4*j - 35. Let c be b(t). Is (-29424)\/(-60)*c\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16278\/245 - -332\/5. What is the biggest value in 0.2, 2, u, 0.01, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1576452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 709.90193 plus -771?\nAnswer: -61.09807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11072 and 96?\nAnswer: 33216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -87*q**2 + 67. Let f(o) = 2*o. Calculate f(w(i)).\nAnswer: -348*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -4.5265 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.086 and 0.102.\nAnswer: 0.008772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 8:15 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of x**3 - 175*x - 540 wrt x?\nAnswer: 3*x**2 - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five halves of a microsecond in nanoseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2187 + 2190. Let v(r) be the first derivative of 2\/9*r**k - 4\/3*r + 1\/3*r**2 + 10. Solve v(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(6\/11))\/(g**(-1)*g)*g**(1\/5)*g*((g**(2\/11)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-64\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 12:45 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -12. Suppose u - s = 2 + 5, -s + 35 = v*u. Put 0, u, 4 in decreasing order.\nAnswer: u, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 0 - (-6 - -12 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -15 divided by 363635\nAnswer: -3\/72727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from satnnmnmwma.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of 2*k**5\/5 + 6*k**4 - 28*k**3\/3 - 12*k**2 + 26*k - 1964. Factor g(l).\nAnswer: 2*(l - 1)**2*(l + 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4607, -4689, -4771, -4853, -4935, -5017?\nAnswer: -5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 6*u**2 - 6*u - 1. Let t(w) = w + 1. Let m(y) = j(y) + 5*t(y). Is m(4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1101210233 (base 4) in base 3?\nAnswer: -121222100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 203, 740, 1619, 2846, 4427?\nAnswer: 6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 14143571 to the power of 1\/2, to the nearest integer?\nAnswer: 3761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 48 - 42. Which is the second smallest value? (a) s (b) 3 (c) -1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 - -15. Let i(u) be the first derivative of -3*u + 0*u**b - u**4 - 4*u**4 + 4*u**4 - 2. Find the first derivative of i(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/233472048 and -11\/52860?\nAnswer: 1167360240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 49*h**3 + 121*h**2 - 2885*h + 11. Let z(y) = 9*y**3 + 24*y**2 - 577*y + 2. Let v(f) = 2*c(f) - 11*z(f). Find the second derivative of v(t) wrt t.\nAnswer: -6*t - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 121 divided by -74\nAnswer: -121\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 19 greater than or equal to 0.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -33 + 41. What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 516.4474 weeks in milliseconds?\nAnswer: 312347387520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 166.99 take away 0.497951?\nAnswer: 166.492049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/30)\/(((-78)\/(-252))\/(-13))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 65876, 66623, 67870, 69623, 71888, 74671, 77978, 81815?\n\"Answer: n**3 + 244*n**2 + 8*n + 65623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-22))\/(15\/(-165))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1831252*w**2 + 3*w + 34073412 wrt w?\nAnswer: -3662504*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*n**2 - 33*n + 6*n + 103 - 73 - 73 with respect to n.\nAnswer: 4*n - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -3*k**3 + 3*k + 2. Let a(n) = -3*n**2 + 35*n - 25. Let c be a(11). Let o(b) = -6*b**3 + 5*b + 3. What is c*o(m) + 5*y(m)?\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -44532938.81 rounded to the nearest 1000?\nAnswer: -44533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**4*h - f**4 + f**3*h + 155551*f**3 - 189*f**2 - h - 23 wrt f.\nAnswer: -48*f*h - 24*f + 6*h + 933306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 268922581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -22fdd0 - 5e?\nAnswer: -22fe2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence il when two letters picked without replacement from lglligzzillz.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 5. Solve 4 = -g*p - f - f, 4*p + 4*f = 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + l**2 + 1562*l + 96. Calculate d(-39).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from vcamajvjajvmmcjjmcja?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 388 and 83?\nAnswer: 32204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t**2 - 4*t. Let n(h) = h**2 - 2*h. Give 6*i(x) - 11*n(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 7.352145t?\nAnswer: 7352145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15.7 - -16. Put -4\/5, -0.1, n in decreasing order.\nAnswer: n, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -606.8 - -606.5. Let g = -359\/308 - -1\/44. What is the smallest value in g, -1\/3, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 278*d**2 - 310*d - 2. Does 29 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6*u*z - 47*u - 7199*z + 131 with respect to z.\nAnswer: -6*u - 7199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128683 is divided by 31269.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 4.5175834 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3577 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 0.03, -0.2, 2, 1\/128 in descending order.\nAnswer: 7, 2, 0.03, 1\/128, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qnqg when four letters picked without replacement from {g: 2, n: 4, q: 6}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 + 8*c - 6. Suppose -3*r - 16 - 14 = 0. Is k(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 42081035 by 85.\nAnswer: 495071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*c = -119, 0 = -23*i + 22*i + 3*c + 201634. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (936*u - 936*u - 31*u**3)*(6 - 2 - 6).\nAnswer: 62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 15 + 15. Suppose -5*m - d = -7*m. Let l be (m\/6)\/(26\/4). Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 245 - 241. Let w = -137 - -107. Which is the second smallest value? (a) -3\/4 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (f + 41*f**2 - f)*(f + 3*f - 2*f) + 3*f**3 + 2*f**3 + 2*f**3 to the form n*f + w*f**3 + l*f**2 + b and give w.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1619, 2647, 5437, 10871, 19831, 33199?\nAnswer: 51857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 + -c63b5?\nAnswer: -c63b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 6*i**2 - 4*i + 10. Let g(c) = 3*c - 5. Let s be g(4). Let u be x(s). Is 9 a factor of (-4)\/(-14) - u\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/1 + 84\/(-24))*218. Let n = -104 - s. Solve 1 = -n*m + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 250382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 - 45 - 12*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*v + 0*v + 10*v + 2)*(48*v**3 - 30*v**3 - 269*v**3 + 2) to the form a*v**3 + p*v**2 + q*v**4 + m*v + k and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of -o**8\/840 - o**4\/6 - o**3\/2 - 4*o**2. Let z(x) be the first derivative of b(x). Find the first derivative of z(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -350 - -219. Let g = -165.5 - z. Let s = 34 + g. Round s to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -2*m**2 + 62*m - 336 = 0.\nAnswer: 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 263405361.\nAnswer: 3, 17, 23, 41, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10519 - 10429. Solve 0 = -10*n + 55*n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 > -948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 130 - 182. Let s = q - -90. Let i = s + -38.00000169. Round i to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -71, 2\/7, 1, -3, -5, 349?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, -243, 4, 0.\nAnswer: -243, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -295710 divided by 19714.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 9*m**2 + 4*m - 7. Let b = -19 - -23. Suppose 8 = b*u - 4. Is y(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, -3, 6, -1144 in increasing order.\nAnswer: -1144, -3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnpnnnipinppinni. Give prob of picking 2 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**4\/2 - 3*y**3 - 3*y**2\/2.\nAnswer: -3*y**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h + 4*h - 3*h)*(-3 + h + 3 - h + 2 - 2 + (-6 - 1 + 5)*(-3 + 3 - h) + 3 + 2*h - 3).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4282 in -0.9, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 3*m - 19 = 0, -183*h + 4*m = -182*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8031 divided by 128?\nAnswer: 8031\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 622, 10038, 35596, 85366, 167418, 289822, 460648, 687966?\n\"Answer: 1345*x**3 + x**2 - 2*x - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 2. Solve c + 5*w - 15 = -c, -2*c + 2*w - 6 = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*x + 4906 = 13*x - 4*q, -2*x = 2*q - 9762. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -43.34 - -0.74. Let m = 3.3 + 35.7. Let b = y + m. 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 137 minutes before 2:13 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -571187 (base 13) in base 3?\nAnswer: -10212121020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/k**(-6\/13)*k\/(k**10*k)*k**(1\/3)*k**6 assuming k is positive.\nAnswer: k**(-86\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 970738 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-5))\/(27\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 4*y - 21 - 1, 0 = 4*y - 2*c - 8. Suppose -2*h + 4 = 2*h, 0 = -y*v + 3*h + 20697. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-7527)\/6 + -4)*40\/(-6). Suppose -10*f + m = -0*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 22743360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.61 - -67.61. Let w = q - 62. Which is the third biggest value? (a) -0.1 (b) -4 (c) w (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2957*b - 1020180. Give r(-345).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -381 + 385. Solve -111*o**2 - 22*o**3 + 161*o - 46*o**2 - 557*o - 324 + 147*o**4 - 148*o**b = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1687 - 1853.2. Let q = t - -151. Let l = 15 + q. Put 1, -1\/2, -0.4, l in increasing order.\nAnswer: -1\/2, -0.4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 128.\nAnswer: 5\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 PM and 6:06 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.025394902 to 4 decimal places.\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -8224, -3, -12, 5, -1857 in ascending order.\nAnswer: -8224, -1857, -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1031 - 0?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 210*b + 14 = -209*b, -3*b + 24 = -3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/13, 0.26, -1, -3, -657\/4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 40 = 5*i - 3*i, 3*n = -5*i - 108. Let u = -29 - i. What is the common denominator of 29\/18 and (1\/5)\/(u\/86)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 206336 and 115072.\nAnswer: 5983744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 - 4*q - 3. Suppose -t - 3*t - 4*f = 44, 0 = 3*t - 3*f + 51. Suppose -7*k = -10*k + 54. Let p = k + t. What is y(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, b: 14}. Give prob of sequence bb.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -31*-422724\nAnswer: 13104444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-9))\/((-98)\/126)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*h = -31*h + 2212. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 10 = -5*p. Solve 3*x = 2*y + 12, 5*x + p = -3*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -4*x**2 + 5505856*x + 60564900 = 0.\nAnswer: -11, 1376475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 18895543 to the power of 1\/2, to the nearest integer?\nAnswer: 4347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -56775*v**3 + 214436*v.\nAnswer: -340650*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3365 (base 16) to base 6\nAnswer: -140525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -183224, -183634, -184310, -185246, -186436, -187874, -189554?\nAnswer: -191470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 41 + -9 + (1 - -3). Let z = -6 + h. Suppose -4*p + z = 2*n, -2*p + 35 + 31 = 4*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 45 = 3*v, 0 = t - 5*v - 0*v - 31. Let i(x) = 2*x**2 - 5*x - 6. Let y(k) = -7 + 5*k**2 - 14*k + 2 - 12. Calculate t*i(u) - 4*y(u).\nAnswer: 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 775.72 millennia to months.\nAnswer: 9308640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(1\/15))\/y*y)**(14\/3) assuming y is positive.\nAnswer: y**(196\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1017 + -16161?\nAnswer: -17200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, -0.1227, -0.2, -1\/35806?\nAnswer: -1\/35806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/t**(1\/6))\/t**(-7))\/(t**(-1\/2))**(17\/3))\/((t**6\/t**(-8))\/(t**(-1))**(-6\/5)) assuming t is positive.\nAnswer: t**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together 11.4607376 and 526.\nAnswer: 537.4607376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**4\/7 - 18*z**3\/7 + 72*z**2\/7 - 78*z\/7 + 27\/7.\nAnswer: -3*(z - 1)**3*(z + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 120094032 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 307193 and 12199.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 10260 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r + 1. Let q be h(-5). Let t = -1 - -4. Suppose -t*b = -0*b - 12. Solve -q*g - 6 = -b*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gcucceeeucgceuueeue. Give prob of sequence cgug.\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -41*l**3*u + l**3 + 1073*l + 2*u with respect to u.\nAnswer: -41*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -7*a - 21. Let k be w(-18). Calculate the greatest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14.93 - 15. Let d = -106 - -104. What is the closest to d in -2, z, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 - 3)*(-z + 2*z + z)*(-11 - 3 - 36 - 17).\nAnswer: 804*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + -11 + (-2 - 1) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1099 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/62186 and -58\/342023.\nAnswer: 684046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l*l*l\/(l\/(l*l\/(l*l\/l**(1\/2)))))\/l)\/(l**6\/l)*(l\/l**(-1\/5))**(1\/17))**(-1\/4))**45 assuming l is positive.\nAnswer: l**(5247\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 7*n - 1. Let v be r(2). Suppose v - 18 = 5*l. Is 5 + 3\/l + 345 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/2770 and 31\/320.\nAnswer: 88640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -263 + 262.7. Let u = -7 + 12. Which is the nearest to 0? (a) -3 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -205 - -365. Calculate the highest common factor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, i: 18}. What is prob of sequence iirr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 383339581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14719 - 14718.9594. Is d at least 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1678*m**4 - m**2 - 316*m.\nAnswer: -40272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2 - 29*x + 127. Let n be d(-33). Let q = 4 - 5. What is the nearest to q in n, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 - 8*p**2 + 11*p - 20. Let n be f(-10). Let u = n + -107. Is -40 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 129603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*q - 1127*n - 1122*n + 76 = -2246*n + 19, 0 = -3*q + n - 27 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xexexeexee. Give prob of sequence xee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + (618\/3 - -2). Let t = f - 2495. Is (-1)\/2 - t\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22696480 to the power of 1\/2, to the nearest integer?\nAnswer: 4764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 5*n - 25 = 0, 5*n = 3*o - 0*n - 13. Let x be 3\/((o\/80)\/1). Calculate the highest common factor of x and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -44 at least -219\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16 - -159\/10. Suppose -356 + 341 = s. Let w be s\/(-2)*(-7 + (-284)\/(-40)). Which is the smallest value? (a) w (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r + 0*r + 7*r)*(254*r - 62*r - 406*r - 794*r).\nAnswer: -6048*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 3410211 (base 5) to base 12.\nAnswer: 2a908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1092, 5895, 16648, 35601, 65004?\n\"Answer: 375*h**3 + 725*h**2 + 3*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - 88a2d05?\nAnswer: -88a2d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 46.280385s in hours?\nAnswer: 0.0128556625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from txxoo. Give prob of picking 1 t and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1.2 (c) -1\/4 (d) 3\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*l)*((1 - 1 + 1)*(2 + 0 + 0) - 22 + 482 - 40).\nAnswer: 844*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1415 is divided by 189?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -335*n**3 - n**2 + 721*n**3 + 270*n - 26*n - 360*n**3.\nAnswer: 26*n**3 - n**2 + 244*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1083225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 551050 - 2854760 = 0. Let x = b + 2120855. What is x rounded to the nearest 10000?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes before 8:40 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44, 45, -6, -121, -312, -591, -970, -1461?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 63\/172033910 and -25\/2?\nAnswer: 172033910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mvl when three letters picked without replacement from {l: 2, m: 1, v: 1, o: 2, g: 8}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - l = -878, -4*r + l - 266 = -972. Suppose 5*b + 11 = r. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, 6, -27, 1, -5 in descending order.\nAnswer: 6, 3, 2, 1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -79149, -79150, -79151, -79152, -79153?\nAnswer: -79154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + i = 0. Solve -2*v + 7 = 3*n, i*n = -n + v - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 301 (base 12) to base 14\nAnswer: 22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 1, y: 8, m: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 25*a**2 - 30. Suppose -c - 1 = -0. Let s(l) = l**2 - 1. Suppose 0 = r + x - 31, -3*r + 38 = 2*x - 54. Determine c*j(d) + r*s(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from swwfffwsflnfsws. Give prob of sequence fnl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:44 PM and 4:12 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 75*z**3 + 55*z**2 - 55*z + 55. Let i(m) = -m**3 - m**2 + m - 1. Suppose -9*k = -735 - 255. What is k*i(b) + 2*f(b)?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/((-8)\/6))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -28*d**3 + 2*d**2 + 9*d + 2. Let v(g) = 1261*g**3 - 91*g**2 - 403*g - 91. What is 2*v(n) + 91*x(n)?\nAnswer: -26*n**3 + 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*x + 674 + 856. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 312 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*s**3 + 5*s**4 + s + 0*s**3 - 3*s**4 + 7563768 - 18*s**2 - 7563767 to the form q*s**4 + l*s + f + j*s**2 + n*s**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002512 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 + 7*j**2 - 3*j - 5. Suppose -3*y = -4*y + 6. Is i(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 + -42 + (12 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 932717?\nAnswer: 229, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-18)\/(-4) + (-4)\/8. Let i = -1\/700 + 5609\/6300. Solve 4\/9*j + i*j**3 + 10\/9*j**2 + 0 + 2\/9*j**v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*k - 21 = -1086 - 189 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + -1030303?\nAnswer: -1030313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 14732 - -21764?\nAnswer: 36716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4047 and 12780?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 7:53 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3572 - 3227 + 6800 - 8*q.\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is l in -15*l**4 + 6655*l**3 + 70330*l**2 + 18260*l - 45400 = 0?\nAnswer: -10, -1, 2\/3, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 6:14 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = 500 + -498. Suppose -3*q - 2*i + 19 = 0, -l*q - i + 14 = -0*i. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1230 - -1234. Let r = -4 - -4. Let y = -3.3 - -0.3. What is the closest to y in x, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 4*s - 8, 4*l + 4 = 5*s - 0*l. Suppose -3*o = -s*o + 2. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*d = 22*d - z - 1, -d - z - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 251 divide 1057463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(240) + sqrt(240)*2)\/sqrt(8))\/(sqrt(12)\/(sqrt(4)\/sqrt(2)) - sqrt(54)*-3).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 145*b**3 - 13*b**2 + 18*b + 2. Determine j(-3).\nAnswer: -4084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -154366 (base 10) to base 16\nAnswer: -25afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**2 + 17142690*h - 24489318369675.\nAnswer: -3*(h - 2857115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5827 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 30*o + 3*o + 396. Let h be 5\/(-15) - 4\/o. Solve -3\/4*x**3 + h + 3\/2*x**2 + 9\/4*x = 0 for x.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 25875450 divided by -54\nAnswer: -479175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8609592, 8609593, 8609594, 8609595?\nAnswer: 8609596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0198033 rounded to four dps?\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -4*m**2 - 28*m + 6. Let q be u(-7). Let d = 5 - 1. Suppose -d*t + 230 = -34. Calculate the greatest common factor of t and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of -4*y**7\/7 - 5*y**3 + 23. What is the third derivative of k(g) wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -915*c**3*h**3 - 12276*c**3*h - 3*c**3 + 4*c**2*h**3 + 5*c**2*h wrt h?\nAnswer: -5490*c**3*h + 24*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 12220303 (base 5) to base 10.\nAnswer: 116953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 0 + 4*v**2 + v - v**3 + 2*v + 5. Suppose 3*o - 38 = -23. What is b(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 623640129.\nAnswer: 3, 7, 29697149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) - sqrt(72)*-2)\/sqrt(12))\/(-2*sqrt(432)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 + 20. Suppose -29 - 63 = -31*h + 1. Factor -11*b**3 - 8 - 34*b**2 - s*b + 17*b - 22*b + 3*b**h.\nAnswer: -2*(b + 2)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -402 - -3939\/10. Suppose 0*g + g + 2403 = 0. Let t = -14269\/6 - g. Find the common denominator of t and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 187779\/406 + -925\/2. Which is smaller: t or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**3\/3 + 694*h**2 - 219600*h + 19035000 = 0. Calculate h.\nAnswer: 141, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9.07 + -8. Let i = x - 0.07. Which is greater: 8 or i?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in -1\/4, 2\/33, 15, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 300.95 + -301. Sort -2\/19, w, 1\/3.\nAnswer: -2\/19, w, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*s - 10*s + 2*s**2 + 0*s + 5*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4.233 - 4.433. Let v = -1 - -2. What is the third biggest value in c, v, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -14*i - 6. Let h be u(-4). What is the greatest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 218038548?\nAnswer: 2, 3, 7, 13, 199669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -384*y**6 - 48*y**5 + 1382*y**2 + y wrt y.\nAnswer: -46080*y**3 - 2880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -23*u**3 - 11*u - 11. Let z(l) = -11*l - 195. Let t(h) = -7*h - 122. Let x(w) = 8*t(w) - 5*z(w). Determine -2*m(q) + 22*x(q).\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 1848671 and 0.6624.\nAnswer: 1848671.6624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.6*4.151.\nAnswer: -6.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/17? (a) -4\/11 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r + 5196 = 209*o + 510*o - 1982, 0 = -2*r + 2*o - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-32)\/48*90\/(-4). Suppose 3*u = q*u - 24. What is the lowest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*-2*sqrt(40) - 1*sqrt(4840))\/(sqrt(72) - (5*1*sqrt(72) + sqrt(72))))**2.\nAnswer: 361\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -17. What is the common denominator of (-82)\/28 - t\/8 and (390\/(-40))\/(-3 - -2 - 17)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 81\/80 and 79\/710520.\nAnswer: 1421040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 24065060*o**4 + 5*o**3 + 16700411 wrt o?\nAnswer: 96260240*o**3 + 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/1190 and -87\/476?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h - 9. Let a be t(-4). Let y(k) be the first derivative of -k**3\/3 - 7*k**2\/2 + 3*k - 2. What is the remainder when y(a) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 164*y + 71*y + 844 = 24*y. What is the closest to -2 in -9, y, 0.77?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-2\/23)\/u**(2\/7)*(u**(-4))**(-28) assuming u is positive.\nAnswer: u**(17972\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10313 + 11?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - z + 268342 = 0, 51681 - 387140 = -5*j + 4*z. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2085*c = -2002*c - 415 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**2 + 184*o + 4821. Calculate the remainder when 1102 is divided by l(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 185994 = 110*i + 183024 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 22\/33 - (-13)\/3. Suppose -6*w**2 - 6*w**2 + 5*w**3 + q*w + 22*w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + -5*(-6)\/10 + -4. Let b(i) be the first derivative of 1\/3*i**3 + 6 - 5\/2*i**h + 5*i. Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 180\/(-144)*(-6 - -2). Solve 0 = -3*u - m*h + 4, 4*h + 1 = 3*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -804, -1689, -2574, -3459?\n\"Answer: -885*x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 4*i - 5. Let b be d(4). Suppose 0 = 2*g - 3*o - 5, -2*g - g + o = -b. Solve g*p = 8*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 5*w + 15, -5*z + 2*w = -z - 6. Let r be (5\/(15\/(-6)))\/(-9). Factor r*c + z + 2\/3*c**3 + 2\/3*c**2 + 2\/9*c**4.\nAnswer: 2*c*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -738*r - 175 + 1622*r - 746*r - 113 + 0*r**3 + 3*r**3 + 147*r**2.\nAnswer: 3*(r - 1)*(r + 2)*(r + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 697542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 + n. Let s be 1\/(-10)*-5*8\/24. Let p(j) be the second derivative of -1\/3*j**3 + s*j**4 + 2*j + 0 + 0*j**2 + 3\/20*j**5. What is -2*o(d) - p(d)?\nAnswer: -d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*z**3 - 4*z - 2*z**3 - z**4 + z**2 + 4*z + 2 - 2*z to h*z**3 + o*z**4 + x*z + y*z**2 + c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 643409*f**4 + 1993671*f?\nAnswer: 7720908*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1158531 to the power of 1\/2, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -49*z**3 + 1. Let n be f(1). Let w be (-412)\/590 - n\/60. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j**2 - j - 835. Let o be k(0). Let b = o + 76. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*3\/6)\/(((-1980)\/3312)\/(-55)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.8 - -2.2. Let o = -2.5 + 3. Which is the third biggest value? (a) w (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 6. Let r(q) = -q - 1. Determine 2*r(f) - x(f).\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -188, -184, -180?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i = -8*i - 2104. Let w = -161 - i. Is w less than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 720 and 2400?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1380\/(-1840)*64\/(-12)*(-1)\/(6\/27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 9*u + 32. Let k(b) = 3*b**3 + 3*b**2 - 6*b + 3. Let s(t) = t**3 - t. Let x(n) = k(n) - 2*s(n). Calculate x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1499921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - r - 297807 + 2613809 = 0, -3*s + 1737006 = 3*r. Suppose 8*q = 11*q + s. Round q to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 25 = 5*d, 8*l = 6*l - 3*d + 2. Let r(q) = 11*q**2 - 4. Let k(c) = 12*c**2 - 3. Give l*k(x) + 4*r(x).\nAnswer: -16*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33 + 0.588.\nAnswer: 33.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-243*s - 190*s - 63*s)*(-3*s + 2 + 2*s + 2*s).\nAnswer: -496*s**2 - 992*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6660 - 33184 = 2846*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -28, -110, -246, -436, -680?\n\"Answer: -27*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 = -3*j + 2*x, -x + 145 = 2*j + 3*j. Factor 3*i**2 + 12*i**5 + 2*i + 41*i**3 + 12*i**2 + j*i**4 - 8*i**3 - 3*i**5.\nAnswer: i*(i + 1)**3*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 249.57303 months?\nAnswer: 0.207977525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 177*w**2 + 59*w + 248. Does 4 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b + 14. Let q(k) = -2*k - 29. Let g(p) = 5*d(p) + 2*q(p). Let t be g(-14). Sort t, -5, -3 in increasing order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -0*u - 4. Let k(p) be the first derivative of p**4\/4 - 2*p**3\/3 - p**2 + 6*p + 26. What is the units digit of k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 14\/(-2) - (-3 - 0) - -9. Suppose 5*r = 4*r + 4. Solve b = n*b - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 53 + -35. Suppose 3*a - 3 = -4*i + 21, -4*i = 12. Let r be (-1)\/(-2)*1*a. Calculate the greatest common divisor of r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 4*u - 24 = 0, -5*u = -n - 4*n + 15. Let a be ((-4)\/6)\/((-1)\/n). Suppose -a*l + q + 209 = 73, 5*l = -4*q + 191. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 PM and 2:25 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -6\/773 (c) 14 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -71*r - 6. Let z(k) = -357*k - 30. Let l(x) = 5*f(x) - z(x). Let v(h) be the first derivative of -1 + 0*h**2 + 0*h - 70\/3*h**3. Determine v(l(t)).\nAnswer: -280*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18\/(-15))\/((-1)\/(-12)*144\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -6*k**3 - 1062*k**2 - 3*k - 403. Give d(-177).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4034004670 - -348.4.\nAnswer: 4034005018.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-16))**(-49) assuming x is positive.\nAnswer: x**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 AM and 6:11 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14.826 + -15.826. Which is the nearest to d? (a) 3\/2 (b) -2 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-6)\/(m*m**(-4))*m\/((m**(-2\/13)*m)\/m*m)*m\/(m\/m**(-2)) assuming m is positive.\nAnswer: m**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3*g + g**2 + g**3 - g - 2*g + 5*g + 2. Suppose -2*c = -18 - 0. Calculate the smallest common multiple of c and m(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.71026627977 minus -0.3?\nAnswer: -0.41026627977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**2 - 22*d + 12. Let w be v(-21). Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**3 - 2*y**2 + 7*y - 7. Let q be i(-4). Sort 5, -17, q in descending order.\nAnswer: 5, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m**4 + 4*m**4 - 3*m**4 + (3 - 4 - 1)*(-2*m**4 - 2*m**4 + 2*m**4) + (-3*m - m + 3*m)*(-18 - 3*m**3 + 18).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + 0 + (1 - -1). Let s(o) = o**2 + o. Let b(n) = -n - 15. Let m be b(-12). Let r(t) = t**2 + 2*t - 2. What is k*r(h) + m*s(h)?\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -93.7 + -18.3. Let y = -0.399593 - -0.399593. Which is the nearest to y? (a) 0 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*k**4 + 85*k**3 + 307*k**2 + 2*k - 4409724.\nAnswer: 8*k**3 + 255*k**2 + 614*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 + 7*g - 5. Let m be s(4). Suppose 3211*q = 3172*q. Solve -m*x + x = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -584, 498, 2308, 4852, 8136, 12166, 16948, 22488?\nAnswer: 28792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k\/(k**(4\/7)*k))\/(k\/(k*k**(7\/2)*k)))**(4\/5)*(k**(2\/5))**(1\/18)\/((k**(4\/3)\/k)\/k**3) assuming k is positive.\nAnswer: k**(2089\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -2*w - 32, 0 = 3*w - 10 - 5. Let u = 10 + g. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 139\/7200 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-6908)\/(-55)*10\/4 - (-5 + 1) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 15.212661 months to years.\nAnswer: 1.26772175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 116308*p - 1279390. Give j(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of -k**3\/3 - 105*k**2\/2 + 311*k. Let c(d) = 3*d + 5. Let f(z) = -4*z - 7. Let u(x) = -7*c(x) - 5*f(x). Calculate u(h(w)).\nAnswer: 2*w + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 minus 210?\nAnswer: -209.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -3\/29 and -5030\/583 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -28 + 3. Let c = g + 31. Calculate the greatest common divisor of c and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cccccjjjcccjj.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 7188271299 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/2667 and -133\/6?\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + -1. Suppose 12 = 3*v - q*t, 5*v - 2*t - 20 = t. Solve 2*d - v*n = 10, 4*d + 0*d = -n + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0339 - -0.2661. Let f = 2 - 3. Put q, 4\/5, f in decreasing order.\nAnswer: 4\/5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 494879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*o - 942 - 279 = 95 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 plus -239?\nAnswer: -238.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 11*f**3 + 2*f - 2. Let r be s(1). Solve 3*j - 3*z + 15 = 0, -j + 0 = -3*z + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 - 5*j**2 + 4*j + 4. Let y be h(4). Let u(t) = 3*t - 5. Let i be u(y). Suppose 1 + i = 2*s. Calculate the smallest common multiple of s and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9.55 - 15.25. Sort 1\/4, 0.4, n in increasing order.\nAnswer: n, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 11*u + 2*u + 3.\nAnswer: -9*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:11 PM and 2:22 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2095, -2027, -1917, -1771, -1595, -1395, -1177, -947?\n\"Answer: -b**3 + 27*b**2 - 6*b - 2115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 32663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -3 - -35504\nAnswer: 35501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 + r + 7. Let v be l(0). Suppose 64 = v*m - 3*m. Suppose 3*k - m = 2. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*i**3 + 5*i**3 + 2*i**5 + (i**5 - 3*i**5 + i**5)*(-2 + 1 + 0) - i**5 + 2*i**2 - 2*i**2 - 67*i**2 - 7364*i**5 - i - 2*i**2 + 7365*i**5 - i**4.\nAnswer: 3*i**5 - i**4 - 69*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 - 2*v. Let a(g) = g**2 + g. Let u be -2 - (6\/(-9))\/(16\/(-24)). Calculate u*a(o) - f(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**2 - l + 6. Let z(k) = k**3 - 6*k**2 - 13*k + 36. Suppose -34*u + 46*u - 84 = 0. Let a be z(u). What is f(a)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -703, -1422, -2119, -2782, -3399, -3958?\nAnswer: -4447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76361030 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*a**5 - a**5 + 4*a**5 + (-4*a**3 + 4*a**3 + a**4)*(-1 - 8*a + 1).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 568*u - 147 - 567*u)*(-2*u**4 + u - u).\nAnswer: -2*u**5 + 286*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/35 and -91\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmdr when four letters picked without replacement from rgrgggdggmrgmgmrgd?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/63)\/(8\/12). Is 0.2 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 + 14. Suppose y*u + 3*z - 2*z = 3, 0 = 2*z + 10. List the prime factors of (3\/(-2))\/((-2)\/u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3 + ((sqrt(114) + sqrt(114)*2)*-3 - 5*sqrt(114)*-1)\/(sqrt(384)*-3*1).\nAnswer: sqrt(19)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 457 is divided by 209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: c (base 13) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 + ((-30)\/3 - -15) is divided by -1 - (1 + 4*-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 3 = -2. Suppose -4*z = m - 5, 5*p - 3*z = 387. Suppose p - 18 = n. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5244, -42229, -142674, -338319, -660904, -1142169?\nAnswer: -1813854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-60)\/9)\/2)\/((-8)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1.50763718 to three dps.\nAnswer: -1.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(42)\/sqrt(54) + 3.\nAnswer: sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -112, -225, -338, -451, -564?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1.03934 minus 2.4?\nAnswer: -3.43934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 46*q - 281. What is r(-30)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -73 + 235. What is the greatest common divisor of q and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 85050 and 228690?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000080116094 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i + 5*z = -90, -5*i + 4*i + 3*z - 16 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of 6 and 0.433808.\nAnswer: 6.433808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/6)\/(103\/2163) + 4 - -9. Is d > 642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -6*p + 4. Let u = 0 - -0.2. Let r = -0.06 + -1.94. What is the closest to u in p, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, p: 2, s: 2}. Give prob of picking 1 p, 2 o, and 1 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 2243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 469898943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 7335 = 79*v - 430*v - 138*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 21636604 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 5*y - 19 = 0, -k = -0*k - 3*y - 9. Suppose 0 = -3*l + k, -5*s - 5*l = -16 - 14. Suppose -s*v + 17 = 5. Solve 4*u - 11 = -v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 618951685.\nAnswer: 5, 11, 233, 48299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put together 3.952 and 20.\nAnswer: 23.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2174225 - -81?\nAnswer: 2174306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - 18*p = -13*p - 45, 0 = -2*b + 5*p - 48 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 16 (b) -42 (c) -3 (d) -5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.02 in -4, -0.3, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 3:07 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 143 + -146. Let l be f\/(-9) - (-3 - -4). Sort 30, l, -1\/3 in ascending order.\nAnswer: l, -1\/3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 60670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 4*i - 13. Let y(b) = 5*b - 14*b - 7*b**2 + 4 + 4 - i. Let t(m) = -3 - 5*m + 4*m**2 - 2*m + 12*m. What is 11*t(n) + 6*y(n)?\nAnswer: 2*n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x + 28*x - 5*x)*(-5*x + 4*x + 0*x).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t. Let w(k) = 16128*k. Give d(w(n)).\nAnswer: -32256*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -0.02733, -0.1, 3, 5, 4, -1 in increasing order.\nAnswer: -1, -0.1, -0.02733, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27, 57, 107, 177, 267?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 c, and 2 z when four letters picked without replacement from {e: 8, c: 4, z: 2, k: 4, y: 1, r: 1}?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h - 6*h + 3*h)*(0*h**2 + h**3 + 0*h**2) + 3*h**2 - 2*h**4 - 3*h**2 + 286*h**2 + 1 - 16*h**4 - 286*h**2.\nAnswer: -17*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -2*r. Suppose g = 4*o - 15, 3 = -5*o + 4*g + 19. Suppose -3*m - 26 = -0*l - 2*l, -5*l - o*m = -88. Sort 5, -5, r, l in decreasing order.\nAnswer: l, 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1492*r + 2188*r + 510983 = -78*r + 63781 for r.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8698 is divided by 311?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 168, 724, 1656, 2970, 4672?\n\"Answer: j**3 + 182*j**2 + 3*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5\/2*16\/20. Let p be 3 + t + -4 + -4. Let k(l) = l**3 + l**2 - 5*l - 2. Determine k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -228987\nAnswer: -5\/228987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3200 - 3198. Solve -c*d = -2*u + 16, 3*d + d + 22 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 401338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 4*d - 32. Calculate z(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k**2 - 4*k + 3. Let g(o) = -o**2 + o - 1. Give -d(c) - 4*g(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 116.0988766 rounded to two decimal places?\nAnswer: 116.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1499577 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -2 - 31) + 278 + -278?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10? (a) 4 (b) -3 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from adooooaoooododdodoo?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -61 - -66. Let n(z) = 5*z**3 + z**2 + 5. Let x(d) = 4*d**3 + d**2 + 4. Determine r*n(c) - 6*x(c).\nAnswer: c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add -185123995089120 and -1.\nAnswer: -185123995089121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 364*y**2. Let z(d) be the first derivative of 2*d**3\/3 - 138. Give z(c(v)).\nAnswer: 264992*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3df81 (base 16) in base 11?\nAnswer: 163780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 15*i**2 - 39*i - 13. Let f(o) = -o - 9. Let q be f(-4). Let d(a) = -1. Let z(x) = q*d(x) - k(x). Find w such that z(w) = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2 - 11\/(-4))\/((-78)\/156))\/(75\/350).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of h**4\/4 + 9*h. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -613627, -1227430, -1841235, -2455042?\nAnswer: -3068851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z = -7*z. Suppose 0 = -t + d, z*d - d = 3*t. Suppose -f = -3*f - 3*h - 7, t = -2*h + 2. Sort -0.3, f, -4\/7 in descending order.\nAnswer: -0.3, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000088551 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 13147177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/39*((-483)\/14)\/(-23). What is the nearest to -1 in -0.5, h, 5\/4, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 13*z - 21. Let c be x(-15). Suppose c*v - 50 - 22 = 0. Let u = 52 + -37. What is the remainder when u is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (20\/(-12))\/((-1)\/3). Suppose -2*v = -2*t - 0*t - 14, 5*t + o*v = -55. Let m be 3\/(t\/12) + (-48)\/(-6). Solve -m*a - 2*p + 6 = -6*a, 0 = p - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 33 in 3\/5, -21\/10, 3, -122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q + 1652 - 1700. What is the remainder when 85 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.479765 + 0.48. What is b rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -n + 5*g + 18, -5*n - 2*g = 10. Suppose -12*p + 30 + 30 = n. Solve -p*b = -2*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (72\/28)\/((-121)\/(-3388)). Solve 0 = 58*v - 22*v + o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*v + a = -21 - 1, 13*v + 2*a = 12*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*o**2 + o**2 + 55 - 55.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.066526786 and -4.\nAnswer: 0.266107144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + f - 8 = 0, -526 = -2*k + 5*f. Suppose -k = -4*v + 111. Let p = -40 + v. What is the greatest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p = -4*t + 20, -230*t = -288*t + 221*t - 1630 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(91)\/sqrt(252))**2.\nAnswer: 5*sqrt(13)\/3 + 913\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6303 + 29834*h - 6303.\nAnswer: 29834*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*q**3 - 9811*q**2 - 9249*q**2 + 28191*q**2 - 9693*q**2.\nAnswer: -3*q**3 - 562*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes before 4:32 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 - 5*q. Let n be k(-5). Let g be 2\/4 - (-40)\/(-96)*-6. Let x be (g*-1)\/(4 + (-95)\/(-10)). What is the biggest value in x, n, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.477 and -596132.\nAnswer: 284354.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 123635519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32019508*v**5 - 9344213*v**2 wrt v.\nAnswer: 1921170480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 + 11*s + 18. Let w be v(-2). Let d(h) = -h**2 - 3*h + 4. Give d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the second derivative of a**4\/12 + 5*a**3\/3 + 11*a**2\/2 - 43*a. Let b be (-8)\/5*(-45)\/18. Let v(d) = 2*d - 16. Let m be v(b). Give k(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -233626 (base 7) in base 8?\nAnswer: -122260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((p**38\/p)\/p)\/(p\/((((p*(p\/(p\/(p\/(p**(-5\/6)\/p))))\/p)\/p)\/p*p*p)\/p)))**(-35))**(2\/41) assuming p is positive.\nAnswer: p**(-7735\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 - g - 268 + g + 268.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, m: 8, f: 1, p: 7}. What is prob of sequence tm?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 7*i - 2*i - 6*i. Let t(l) = -l**2 + 29. Calculate t(q(c)).\nAnswer: -c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -420339\/106420 + -1\/5321. Let k be 2\/((-8)\/(-11))*-632. Let i = -31435\/18 - k. What is the common denominator of i and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 184 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -3627 at least as big as -3395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 1503944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -60, -40, 0, 72, 188?\n\"Answer: 2*g**3 - 2*g**2 + 12*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*k + 6*g - 2*g, -20 = -4*k - g. Let f be 3\/(-4)*(-112)\/63. Which is the smallest value? (a) f (b) 2\/19 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 30477720 to the nearest 100000.\nAnswer: 30500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -863 - -181. Let j be 3 + -2 - s\/11. Let p be 20\/3*j\/35. Solve 4*i - p = 2*w - 0*i, w = 5*i - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -41.355 + 0.355. Let m = v + 41.00001375. What is m rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 111\/476 and 53\/16632.\nAnswer: 282744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 63, 131, 203, 279, 359?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 6*a**2 - 9*a - 4. Suppose -q + 2 = -2. Let m be b(q). Calculate the highest common divisor of 112 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 210294702*-0.03\nAnswer: -6308841.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/4 (b) 4\/3 (c) -43\/2 (d) 12 (e) 2\/11 (f) -44\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 19 = -5*l, -4 = -4*m + 4*l + 28. Factor 0*s**3 - 6 - m*s + 3*s**3 - 3*s**2 + 9*s**2.\nAnswer: 3*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.7, 0, -5, 11 in ascending order.\nAnswer: -5, -0.7, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**2 + m**2 + 0*m**2)*(-3*m + 4*m - 3*m) + (16*m**3 + 3*m**3 - 7*m**3)*(3 - 9 - 3).\nAnswer: -104*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -5*b + q, -3*b + q - 24 + 35 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -11\/7, 170, 3, 2, 1\/21.\nAnswer: -11\/7, 1\/21, 2, 3, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 11 = 5. Let q be -10*(s + 27\/(-6)). Sort 2, q, -6.\nAnswer: -6, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2166907727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1399.913 - -1400. Let y = 183606.9129922 + -183607. Let g = y + r. Round g to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2\/(-9) + 0 + 721900\/450. Suppose 7*m + j = 11*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2910905*d**2 + 722419*d + 4?\nAnswer: -5821810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 3*q + 1. Let a be n(1). Suppose 3*b = 4*x - 3 + 12, 4*x = b - 3. Suppose 14 - 47 = -b*r. Solve 5*k - r = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/3, -19422, 6658?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -235466, -235472, -235482, -235496?\nAnswer: -235514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 748 divide 894179520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5*n = -156, 4*o - n = 173 + 12. Suppose -150997 + 52720 = -o*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = -2*k + 4*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -11*a. Let b(x) = -2*x**2 + 20. Give b(q(u)).\nAnswer: -242*u**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + -4 + 32\/4. Let j(c) = 0 + 2*c - d - 2. What is the units digit of j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11177090786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a**2*j**2 + 3*a**2*j + 28*a*j**2 + 457*j**2 + 8072*j wrt j?\nAnswer: 2*a**2 + 56*a + 914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 182498, 182493, 182484, 182471, 182454?\n\"Answer: -2*y**2 + y + 182499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -5*w**2 + 7020*w - 286020 = 0.\nAnswer: 42, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.5 + 6. Let w = f - -0.1. Let k be (-4)\/6 + 16\/42. What is the nearest to -1 in -2\/19, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.02 (c) 1\/5 (d) 493 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 517 and 36351865?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*h + 121 + 89. Let i be (h\/(-27)*-960)\/((-4)\/(-21750)). What is i rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.47 and 25?\nAnswer: 24.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 456 - -122. Suppose 0*g = -17*g + h. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 4*v - 5364, -3*v + 5*i + 3186 = -831. List the prime factors of ((v\/(-30))\/4)\/(6\/(-225)).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -1433\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1812 divided by -453.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose x**4 + 5*x**3\/6 - x**2 - 5*x\/6 = 0. Calculate x.\nAnswer: -1, -5\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(0\/(1 + -2))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 9573332 to the power of 1\/2, to the nearest integer?\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**2 - 7*y + 8. Let f be b(-8). Suppose f = 10*n - 9 - 81. Suppose -87 = n*q - 12*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - ((-51)\/45 - (-3 - -26*(-8)\/(-96)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/2 - (-11 - 5). Suppose -184 = -v*z + 16*z. Calculate the highest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -5*b + 4*d, 3739*b + d - 7 = 3743*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -294 + 405. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(343) + -2)*-2*4 - 1*(-1 + 2*sqrt(343)))*6)**2.\nAnswer: -85680*sqrt(7) + 1245204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22*b + 9 + 57 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 342 + -342. Solve 4*c = -4*o - 4, u = 4*c - 4*o - 1 - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1861447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-245)\/3)\/(237\/117 - 2). Let q be 819\/r - (-1)\/7*-1. Let h = -3.8 - -3.6. Which is the second smallest value? (a) q (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 280 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -2168411*i. Let r(y) = 3*y**2. What is r(t(l))?\nAnswer: 14106018794763*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 23256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 12:56 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -y**3 + y**4 - 2*y**4 - 3 + 3 - y as v + t*y**4 + w*y**2 + h*y + j*y**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + 17*v**2 - 104*v - 22. Let r(n) = -n**3 - 6*n**2 + 2*n + 1. Let j be r(-2). List the prime factors of k(j).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 1\/3 (c) 1\/8 (d) 4 (e) -195\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is dc6c - 1c2?\nAnswer: da8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -162913058*g**4 - 225*g + 792131?\nAnswer: -1954956696*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-2)*(-2)\/6. Let y(g) be the second derivative of 1\/2*g**2 - 1\/2*g**3 - 24*g + 0. Calculate y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-170*(-74)\/7548)\/((52\/(-6))\/2).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-8)*p*p**(1\/3) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*i = -1731 - 1581. Let c = 140 + i. Put 0.5, -4, 0.3, c in descending order.\nAnswer: c, 0.5, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 2)*(-2*u + 2*u + 1 + 2*u**2) - 102*u**2 - 8061568*u - 76*u**2 + 8061545*u.\nAnswer: -180*u**2 - 23*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -9*z. Let v(j) = -j**3 - j**2 - 3*j + 5. Let p be v(3). Let w = -26 - p. What is the lowest common multiple of w and b(-2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 5. Suppose -u + g*d + 51 = 2*u, u = 4*d + 24. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5208770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -6*q**2 + 4*q - 7. Give h(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94032.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-1*sqrt(95) - ((sqrt(95) - -1*sqrt(95))*-1 + sqrt(95) + sqrt(95)))\/(sqrt(20)*4 + ((sqrt(135)\/sqrt(3) - sqrt(45)) + sqrt(45))\/sqrt(9)).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 65704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/3, 1, 472, 413 in descending order.\nAnswer: 472, 413, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.846 + -1.816. Sort 4, k, 5, 3\/8, 0.\nAnswer: 0, k, 3\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5414 divided by -534.\nAnswer: 2707\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98 = -5*g - 12. Let m = -11 - g. What is the remainder when 20 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 198.3184 and 314089.\nAnswer: 314287.3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 + 9*k**2 + 10*k + 10. Let v be n(-8). Let a be (-3 + 2 - -3) + -1. Let j = a - v. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*q - 9*q - 33 = -5*d, 3*d - 15 = 0. Solve -5*n = -3*f + 14, -q*n - 33 = 5*f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 740, 1474, 2208, 2942, 3676, 4410?\n\"Answer: 734*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 23400 and 245700?\nAnswer: 491400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -450*x + 1226 = -5295 - 6079 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x**2 - 1 - 134*x**3 + 130*x**3 - 1 to the form c*x + u*x**3 + z + y*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -358*p + 344*p - 196 = 0. What is the hundreds digit of 3232\/4 + 20 + p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 513136297 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 546 + 7*i**2 - 1672 + 558 + 568.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*l + 20*l = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y\/((y**22*y)\/y*y))\/y)\/(y**10*y) assuming y is positive.\nAnswer: y**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/16 + (-28180218)\/48. Let z = -4087088 - g. Round z to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3139049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -4*d**2 + 235*d - 163. What is the tens digit of k(54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 6*y - 72 = 0. Let g(r) = -22*r**2 - 3*r. Let o(a) = 15*a**2 + 2*a. Determine y*o(x) - 5*g(x).\nAnswer: -10*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/9543795?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 1.145, 5, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.51 + 1.66. Let c = -59.85 - u. Let z = -61.0018 - c. What is z rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 7, a: 3}. What is prob of sequence iai?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) -10 (c) 3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*d - 73 = 13. Suppose -x = 2*z - 17, 0*z - 3*x = -4*z + 39. Calculate the highest common divisor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1058355, 4233301, 9524839, 16932969?\n\"Answer: 1058296*n**2 + 58*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 5*c - 19, -5*c + 2*w = -0*c - 7. Let f(x) = x + 3. What is the least common multiple of f(c) and (-102)\/(-5) + (-2)\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -70, -75, -80, -85?\n\"Answer: -5*y - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2616*f - 72990 - 43755 + 3462 - 1821 = 0 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.14913 + -0.04913. Sort 5, j, 0.2, -0.007, 0.3 in increasing order.\nAnswer: -0.007, j, 0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20) + sqrt(60)\/sqrt(3)*6)\/(sqrt(490) + sqrt(490) + sqrt(490)*2))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 612570 and 23730.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**2 + 3*j. Let b(f) = -f**2 + 2*f - 1. Let c(m) = -3*b(m) + 2*z(m). Let l be c(3). Is l < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 + 19. Let y = u + -7. Solve -3*o - 6*j + 2*j - 5 = 0, 0 = y*o + j - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-16 + 21)*(-11)\/(-5). Let k(c) = 2 - 2*c**3 + 12 + 12*c**2 - 12*c + c**3. Let g be k(t). Solve 0 = -g*l - 2*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 8*i + 15. Suppose 2*s = -7*s - 54. Let l be h(s). Solve -j - 3*y = -16 + 3, -19 = 2*j - l*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-26)\/(-10) - (16\/10 - 1). What is the remainder when 78 is divided by ((-80)\/(-4))\/2*m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 + 4 + 6)*((-2*u - u**2 + 2*u)*(u - u - 3*u) - 3*u**3 - u**3 - u**3) in the form b*u**2 + o*u + s + r*u**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -0*v + 4*v. Let s = -0.025 + -5.975. Do v and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -298 + 1468. Suppose -5*f + h = -155. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 344 divided by -344.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -50, -58, -70, -86, -106, -130, -158?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-1 - -5) - (8 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 51524\/(-77) + 3 - (-2)\/14. Is 24 a factor of -5 - (w\/12 - (-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8098, 16244, 24416, 32626, 40886, 49208, 57604?\nAnswer: 66086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zcccccczcczczz?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (211\/3)\/((-1)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8c + -182bc1?\nAnswer: -182c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/5)\/(3\/2). Let o = -5.3316 + 5.4316. Sort o, 2.3, j in increasing order.\nAnswer: o, j, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 28*c**3 + c**2 - 3*c + 2. Let r be x(2). Suppose -5*v - 351 - r = 0. Let u = -67 - v. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(3\/2)*y*y**15\/y*y)\/(y*y**(-1)*y)**(-45) assuming y is positive.\nAnswer: y**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v - 154. Let g(c) = -30243*c. Calculate g(i(d)).\nAnswer: 30243*d + 4657422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((-144)\/39) + (-238)\/(-1428).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -219*h**4*m**3 + 84*m**3 with respect to h.\nAnswer: -876*h**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 3*i - 1 - 2, 0 = 3*i + 6. Let o = m - -11. Put 5, 0.1, o in increasing order.\nAnswer: 0.1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -72 and -4.44.\nAnswer: -76.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 1, 3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.09? (a) 0 (b) -0.07 (c) 2\/11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4516359 - -4516390.99933. Let g = 32 - k. Round g to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -756 by 4.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 + 4*b - 3. Let z be a(-4). Let f be ((-14)\/(-3))\/((-2)\/z). Find the third derivative of f*c**2 + 4*c**4 + 2*c**4 - 2*c**4 - c**4 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*(q*q**(-1\/4))\/q)\/q**(2\/9))**11)**(-17\/6) assuming q is positive.\nAnswer: q**(-3553\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 935.9 from 0.\nAnswer: -935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, u: 4, g: 5}. What is prob of sequence uum?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*y = q - 9*y - 14, 2*q = 4*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -14*u - 1. Let w(b) = 2*b + 9. Let f(m) = 4*w(m) - x(m). What is f(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/316035335?\nAnswer: -2\/316035335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -56707440 and 4.\nAnswer: -226829760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (26\/(-65))\/(12\/(-10)). Let v(s) be the first derivative of 2 + y*s**3 - 1\/2*s**2 + 0*s. Let q(a) = -3*a**2 - 1. What is q(u) + v(u)?\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 83877 at least 83878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**3 - 3*u**2 - u - 4. Let n = -11 + 25. Let i = 0 + n. Let v = i + -17. What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/((-5)\/(-4))*(-100)\/(-40). What is the remainder when 99 is divided by (-7 - -42)\/((-4)\/4 + d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 101494 divided by 49.\nAnswer: 101494\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 8*v**2 - 7*v + 6. Let s(g) = g + 38. Let x be s(0). Suppose -x = 4*r - 10. What is the units digit of f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 9000*o**3 + o**2 - 7*o + 10. Let a be z(2). What is a rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of a**5\/15 - 2*a**2 - 260. Let m(s) = -3*s + 168. Give m(i(v)).\nAnswer: -12*v**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*y - 2*c - 44, -99*y - 48 = -94*y - c for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 35 - 109\/3. Let w be 0 + 0 + (-3)\/((-21)\/(-2)). Sort w, 2, i in increasing order.\nAnswer: i, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that t**3\/5 + 1866*t**2\/5 = 0.\nAnswer: -1866, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 12, 16, 10, -12, -56?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yjyjyyjjyjjjjjjjjy.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 14014 - -4354?\nAnswer: 22412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -374*i + 374*i + 41 - 3*i**2.\nAnswer: -3*i**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 22926739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -9*o - 13. Let h be l(-2). Suppose -4 - 36 = -10*b. Factor -7 - 8 - 4*j + h - b*j + 2*j**2.\nAnswer: 2*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 186*x + 5214. Determine o(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of -d**6\/10 - 27*d**5\/10 - 2346*d**2 + 3502*d + 2. What is the first derivative of i(f) wrt f?\nAnswer: -12*f**3 - 162*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -2 + 4. Suppose -2*q + 0 - f = 0, 3*l + q = 8. Find the third derivative of 12*o**2 - l*o**6 - o**6 - 2*o**2 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -11 * -1520.44.\nAnswer: 16724.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 82201334 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -2*v. Suppose -4*k + 8*k - 8 = v. Solve 0*f = k*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 2*q. Suppose -2*s + 3*l + 175 = -148, 5*s - 5*l - 820 = q. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 64*y**2 - 32*y**2 - 58*y**2 + 6*y - 2 - 31*y**2 - 18*y**2.\nAnswer: -75*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 1, m: 1, q: 3, s: 1, g: 1}. What is prob of picking 1 g, 1 s, and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of -565*m**4\/12 + m**2 + 550. Let z(q) = -q. What is z(w(b))?\nAnswer: 1130*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 1963013 by 5.\nAnswer: 1963013\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -14 - 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*b = 39*b - 126. Let u = b + 207. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -2*m + 1756*s - 1757*s, -16 = -m + 2*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of s**2*w**3 - 83*s**2*w - 39*s*w**3 + 2*w**2 - 3*w + 4 wrt w?\nAnswer: 6*s**2*w - 234*s*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1083 less than or equal to 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1517 - 1471. Solve s*z - 37*z = 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2*j - 3 = 0, -w + 3 = j. Let c = 12 + 5. Suppose -c = -4*a - 5*i, -a + 3*i = -w*a - 1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 43 (base 7) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -8*h**2 + 4*h - 1. Let k be a(-5). Let m = 119 + k. Let o = m + 214. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 138 = -3*j + 5*t + 121, 2*j - 10 = -2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12797 + 12785. Let f(w) = w**3 + 13*w**2 + 12*w + 21. Give f(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48659 is divided by 354?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - -43) + (155 - 176).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.88 + -0.12. What is the second smallest value in 0.2, -0.9, j?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1000141010 (base 5) to base 2\nAnswer: 111011110001111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*d**3 - 5*d**3 + d**3 + (0*d + 0*d - d**2)*(-3 - 2*d + 3) - 3155*d**3 + 4106*d**3 - 2048*d**3.\nAnswer: -1094*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + 0 + (6 - 11 - -21). What is the highest common factor of o and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3\/(-2))\/(-1))\/((-40)\/1920*-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -115 + 73. Let a be (-196)\/z*12\/14. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 + 18*z**2 + 13*z + 11. Give q(-17).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 4*h + 15 = 0, -5*h = -4*s - 6*h - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-19)\/(1615\/(-272)) - (-1276)\/(-435)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0.1, 8\/3, -1\/4, -350\/3, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 195\/2*(-44)\/66. Let w be (1 - 0)\/(g*(-8)\/40). Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 498\/11 (b) 3\/11 (c) 2\/249 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 79*b + 108. Calculate w(1).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*k + 4*k - 484. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5777 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 282*t**2*y**2 - 11*t**2 - 4437*t*y**4 + 384399*y wrt y?\nAnswer: 564*t**2 - 53244*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.3, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19493, -19532, -19573, -19616, -19661, -19708?\nAnswer: -19757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*w + 2*w + 0*w - 3*w - 18*w**2 to a*w + m*w**2 + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 311080 and 32694508.\nAnswer: 326945080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2398?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be -28 + 0 + -1 + 2. Let n(q) = q**2 - 19*q + 55. Let m be n(11). Let c = b - m. What is the highest common divisor of c and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -93 + 104. Suppose 5*x + q*l = 8*l + 10, -4*x - 3*l = -5. Solve -1 + 4 = 5*m + 4*v, x*m + v = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 3*f**3 + 3*f - 2*f**3 + 0*f + 5*f**2 + 2. Is j(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 11:23 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 318 (b) 0.31 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 + -57.2713.\nAnswer: -57.3713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 174 or -21?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -38. Let c = 675 - 639. What is the highest common divisor of c and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 68301, 136628, 204955, 273282, 341609, 409936?\n\"Answer: 68327*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 11:50 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 108682236 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 32318 (base 9) to base 6.\nAnswer: 243025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 935 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.9 and -7327?\nAnswer: 13921.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 770.444 meters?\nAnswer: 770444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.4 - 0.6. Let g = 9.9 + -5.9. Let q = 186\/5 - 1664\/45. What is the nearest to 3 in q, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 56, 43, 0, -1 in ascending order.\nAnswer: -1, 0, 1, 43, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 17057177 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -5*m - 4*n + 6, -3*m + 2*n - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 130835*q - 132968*q = 125847 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -74636 by 18659.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -6\/995 (c) 0 (d) 0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*m**3 + 0*m**2 - 970*m**3 + 1059*m**3 + 0*m**2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the first derivative of -t**2 + 9*t - 15. Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 2780 = 5*u, -12*q + 7*q + u - 2810 = 0. What is q rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13587 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2600497\/35445393 + -2\/222927. What is the common denominator of 33\/1378 and z?\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -v**4 + 15*v**3 - 50*v**3 + 20*v**3 + 12*v**3 + 1 - 10*v**2 as x + y*v**4 + q*v**2 + j*v + i*v**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 15036*g - 30118*g + 15316*g. Let v(d) = d**2. Calculate o(v(r)).\nAnswer: 234*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1841287 and 170203.\nAnswer: 20254157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 4*u = 3. Suppose -3*w - w - 4*q + 68 = 0, q = -u. Solve 0 = 2*o + 2*o - w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1154a - -166?\nAnswer: -113a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 4 - 7*g - 4. Let k(m) be the third derivative of -m**5\/30 - 271*m**2. Give k(s(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 156761677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 1\/6 (b) 3 (c) 1 (d) 4\/5 (e) 40.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -96.7 times -0.3?\nAnswer: 29.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3\/4 + 443*w**2\/4 + 17600*w + 85200.\nAnswer: -(w - 568)*(w + 5)*(w + 120)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.19, -315, -2\/3, 0.81?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of -2650.19 and 1.97.\nAnswer: -5220.8743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-47)\/(-1034) - (-23)\/(-22). Is v > 6\/2159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the second derivative of -k**3\/6 - 2*k**2 - 2*k. Let l be z(0). Which is the third smallest value? (a) -5 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(68)*1 + sqrt(17) + (sqrt(17) - (sqrt(833) + -1*sqrt(833))) + -2*(sqrt(17) + (-2*sqrt(68))\/sqrt(4)) + 3)**2.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 957973 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2103, 2106, 2109, 2112, 2115?\n\"Answer: 3*b + 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 9) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*r + 38 - 19 = 19 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 21, 4, -19, -48?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3786267 or 3786265?\nAnswer: 3786265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 930188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77658608.\nAnswer: 2, 827, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 169965.3 kilometers in centimeters?\nAnswer: 16996530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -277, -5, -4, 1 in descending order.\nAnswer: 1, -4, -5, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n. Let p(h) = 2*h + 3. Let l be p(0). Let g(u) be the second derivative of -5\/12*u**4 + 0 + 0*u**2 + 0*u**l + 2*u. What is g(s(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the first derivative of -57 + 0*g**2 + 8\/3*g**3 + 0*g. Let p(r) = -4*r**2. Determine f(p(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - 3*(43 - 66).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 1. Let d(j) = -11*j + 48. Let r(u) = 27*u - 118. Let a(b) = 5*d(b) + 2*r(b). Calculate a(v) - 5*m(v).\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 124 + -130.25. What is s rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1287 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 110*k - 465. What is the least common multiple of 135 and r(5)?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 0.04, 2\/185, -0.3 in decreasing order.\nAnswer: 17, 0.04, 2\/185, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-3\/4)*s)\/((s*s**(-7))\/s)*(s\/(s**(1\/3)*s*s))**36)**(-1\/8) assuming s is positive.\nAnswer: s**(163\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 10349, 10508, 10933, 11756, 13109?\n\"Answer: 22*y**3 + y**2 + 2*y + 10324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12, 84, 214, 402, 648, 952, 1314?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 298*q = 537*q - 5924571. Is 262 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000504746 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 284 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 PM and 11:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -2*c**2 + 385*c + 25841. Determine v(245).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5 - -1)\/(6\/(-4)). Let i be a*(1 + (-3)\/2). Solve i = 2*m - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-2)*-2 + 11. Suppose 4*z = k + u - 64, z = k - 45. Suppose 4*h = 7*h - k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 226058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 1197*p - 571*p = 563*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3093718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 + -8bd?\nAnswer: -8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = -j + 54. Suppose 4*c = 3*d + 105, 2*c + d - j = 3*d. Let f = -2 - -9. What is the remainder when c is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from aao.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3 + -6 + 5 + 9 + (32667 - 12).\nAnswer: 2, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjcaaajjhjj. What is prob of picking 1 a and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4455229, -4455220, -4455199, -4455160, -4455097, -4455004, -4454875?\n\"Answer: t**3 + 2*t - 4455232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11bc0 (base 15) in base 13?\nAnswer: 1ca31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of -5*i**7\/294 - i**6\/105 + i**5\/28 + i**4\/42 - 15*i. Solve k(r) = 0 for r.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5740cd (base 16) in base 15?\nAnswer: 77e44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.60105 + 0.6. What is q rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-3))**(-1\/60)*(k\/(k*k*(k\/(k*k*(k**(-6)*k)\/k))\/k))**(-1\/31) assuming k is positive.\nAnswer: k**(131\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -36 - -33. Let p be (45\/(-10))\/(v\/(-32)). What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 92 + -88. Let v(g) = g**2 + 6*g + 3. Suppose 0*u - 2*u + 6 = -2*y, 5*y - 4*u + 18 = 0. What is the least common multiple of v(y) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120*l + 119*l - 242*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/336408 and 77\/336408.\nAnswer: 336408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k - 8*h = -4*h - 1, -k - 3*h = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16204 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18315\/13 - -1409. Which is the third biggest value? (a) -1 (b) j (c) -2 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2847108137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**4 + 1802*w**3 - 21358*w**2 + 19558*w = 0. Calculate w.\nAnswer: 0, 1, 11, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 32 divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(65)\/((sqrt(5) - sqrt(30)\/sqrt(6)) + sqrt(5) + sqrt(5)) + sqrt(325) + -2)**2.\nAnswer: -22*sqrt(13) + 1589\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -21332*m - 1043 = -21365*m + 112 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0523 + 4.0523. What is the third biggest value in 51, 5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29.4*-611695.\nAnswer: 17983833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (5 - (4 + (6 - (-3 - -3)))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 33115 (base 7) to base 2\nAnswer: 10000001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -1187*l**3 - 3*l**2 - 34*l - 61. What are the prime factors of u(-3)?\nAnswer: 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of 0 + 2\/3*r**3 + 1\/6*r**4 + 0*r**2 - 3\/10*r**5 - 1\/15*r**6 + 1\/21*r**7 - 14*r. Factor t(g).\nAnswer: 2*g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/132 and 113\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(228)*-2)\/(sqrt(144)\/(sqrt(192) + sqrt(12))).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 6348 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2164 is divided by 179.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t + 23 - 23. Let m(s) be the second derivative of -5*s**3\/3 + s. Determine m(q(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -8*k**2 - 3*k**3 + 4 + 4*k**3 - k**3 - k**3 - 2 in the form w*k**3 + g*k**2 + r + i*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 641 - 639. Suppose -4*q + 43 + 5 = 0. Sort d, q, 1\/4.\nAnswer: 1\/4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -3*u. Let j be l(-6). Let r = j - 15. Suppose -2*o + 3*o - 38 = -5*g, -r*o + g = -98. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 37 + -31. Suppose -190 = p - k*p - n, 3*n - 200 = -5*p. Calculate the highest common divisor of p and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8770?\nAnswer: 2, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(700) - (-1 + sqrt(700) + sqrt(700)) - sqrt(42)\/(-2*sqrt(6)))**2 - (sqrt(847)*3)**2*-3.\nAnswer: -19*sqrt(7) + 94007\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 728775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3295249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor h**2\/8 + h\/8 - 3\/4.\nAnswer: (h - 2)*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -8909744 (base 11) in base 5?\nAnswer: -13000303241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s + 155 = -421. Let w = s - -139. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -5\/541644 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 208 + -13445?\nAnswer: -13237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*j + 24*j + 735. Let n = -85 - j. What is the highest common factor of n and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2145 divided by 39.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8976\/1056*(7\/49)\/((-6)\/21)*1.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-52)\/65)\/(((-36)\/(-75))\/6) - -4. Let m(a) = -2*a**2 - 14*a - 14. Determine m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -2377, -1\/8, 3\/4, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*k - 5 = 62*k, -3*z + 10 = -5*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a = 11 - 32. Suppose a*j = -4*j + 4305. Suppose 8*w = 11*w - j. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-22)\/(-44) - 7\/2. Let x(z) = -27*z + 19. What is the hundreds digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2 - 5*z + 6. Let p be c(4). Let n = 1 + p. What is the second derivative of -y**n + 3*y - 6*y - y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**6\/1200 - 103*u**5\/300 - 26*u**4\/15 - 2130*u**2. Factor h(r).\nAnswer: r*(r - 208)*(r + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -40137, -40134, -40129, -40122, -40113?\n\"Answer: l**2 - 40138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -18, -32, -40, -36, -14?\n\"Answer: o**3 - 3*o**2 - 12*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 5 = -3*n, -n = g + 3*g - 6. Let f = g - -30. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.4917886mm?\nAnswer: 0.0000004917886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 38 = 2*l, 9 + 24 = -3*o + 5*l. Let j be (-3 - -5)*(-4)\/o. What is the second smallest value in j, -1\/3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 65? (a) -5 (b) 0.5 (c) 0.05 (d) -2\/9 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23 - 36. Let q = x + 16. Solve s = y - 0*y - q, s = 4*y - 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 10 = 25*i - 28*i, i = -6*h + 30 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1361487.\nAnswer: 3, 41, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 + 2*s + 4. Let h be m(3). Let v = 2 - h. Solve -3 = 4*z + v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 111 - 96. Let f(m) = m**2 - 11*m - 51. Let l be f(s). Suppose -l = 3*u + 6. Let v(n) = n + 2. Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -83 divided by 924\nAnswer: -83\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*x**4 + 5*x**3 + 225*x**2 + 2*x**3 - 39*x**4 - 4*x**3 - 2*x**3 wrt x?\nAnswer: -1392*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-15 + 3)\/((-45)\/12 - -3). Which is smaller: q or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5169 and -68.\nAnswer: -351492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**3 - w**2 + 8*w - 12. Calculate j(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the second derivative of -1\/10*o**6 + 0*o**2 + 1\/2*o**3 - 2*o - 3\/4*o**4 + 0 + 9\/20*o**5. Factor m(r).\nAnswer: -3*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/((-189)\/9))\/((-6)\/51)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 3544645 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*12640.\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-9 - (-180)\/156) + 8 + (-1525572)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 792 and 458271.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5007626.46 and 2?\nAnswer: -10015252.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 11*j - 9878 = -9*j, -5*j = 5. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 173*i**2*j - 3524*i**2 - 71691*i*j - 56*j wrt i.\nAnswer: 346*j - 7048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 - 0.9. Let s = u - -3. Which is the closest to -1? (a) s (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 - p. Let i be n(-1). Let l = -739 + 739.3. Put i, 0.2, l in increasing order.\nAnswer: i, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-15)\/6*(-16)\/8. Suppose 3 = -z*f - 2, -2 = -2*h - 2*f. Solve 2 = -d, -5*x = d - 2*d - h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -702, -680, -658, -636?\n\"Answer: 22*v - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1231830907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(275) + 1).\nAnswer: 3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1954*t + 3902*t - 1946*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 16447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -7*o**2 - 7*o - 5. Let c(s) be the second derivative of -5*s**4\/4 - 5*s**3\/2 - 11*s**2\/2 + 6*s. Calculate 6*c(f) - 13*d(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u + 3. Let y(b) = 0*b**2 - 35*b + 3*b**3 + 38*b - 9 - b**3 - 9*b**2. Let c be y(4). Determine j(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -1 + -2 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the third derivative of -f**9\/30240 - f**8\/6720 - f**7\/5040 + f**6\/720 - 7*f**5\/60 + 3*f**2. Let d(i) be the third derivative of q(i). Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/7 in -1\/4, -571, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 18*f + 170. Let y be w(11). Calculate the highest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 - 455*a + 33801. Determine m(90).\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o + 51 - 51)*(-3*o**2 - 2 + 2 - 5).\nAnswer: -9*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - ((-5 - -23) + 42 + -47).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -1. Suppose 23*l = 10 - 33. Let a(d) be the third derivative of -d**4\/24 - d**3\/6 + 3*d**2. Give l*a(k) - 2*w(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 8*c = 2*c. Let l(u) be the second derivative of 0*u**3 + c*u**4 - 3*u + 1\/2*u**2 + 1\/10*u**5 + 0. Find the first derivative of l(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 97 = -b, -112 = -4*o + 7*b - 11*b. Suppose -o*q = -26*q + 36. Calculate the remainder when 118 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 3*n - 1, -78*a + 79*a - 5*n - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7591*o**3 + 2188*o**2 + 12191932*o.\nAnswer: 45546*o + 4376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3575191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 - 10*h**2 + 9. Let d be m(10). Suppose -5*v + d*v = 100. Suppose 0 = -3*a + 4*p + 22, 2*a + 5*p - v = 5. Solve -5*j - a = -10*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 minus 112?\nAnswer: -111.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the second derivative of 3*i**5\/100 - 9*i**4\/20 + 12*i**3\/5 - 24*i**2\/5 + 2*i - 67. Factor x(c).\nAnswer: 3*(c - 4)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/30*(-5)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -67*a = -568712 - 374045. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*w - 268*w - 53*w + 372*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 - 1 = -2*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (15\/(-90))\/((-1)\/(-1))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -24 - (-42 - (-63 + 9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -998 - -2986. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, i: 3, z: 2, o: 6, a: 2, h: 2}. What is prob of sequence ooo?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2. Let p be 1022\/10 + (-3)\/15. Let b(t) = -p*t + 198*t - 99*t. What is b(r(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**2. Let f(k) = -k - 3. Let w(i) = -2*i - 4. Let o(d) = -4*f(d) + 3*w(d). Determine h(o(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -25 + 37. Let i be 44\/10 + 27\/45. Solve 3*k = -i*r + 8*k, 3*r = -k - c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -971 - 2.5.\nAnswer: -973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**2 + 313*n - 4. Let i(z) = -z**2 + 311*z - 3. Let r(a) = 4*i(a) - 3*w(a). Let s(l) = -9*l**2. Calculate r(s(y)).\nAnswer: -81*y**4 - 2745*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -40817*u + 40909*u - 3128 = 0 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -133*b**4*z + 7*b**4 + b**3*z + 11*b**2 + 40878*b*z wrt b.\nAnswer: -3192*b*z + 168*b + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 3:34 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5*r*t**2 - 16416*r - 262*t**2 - t - 1813 wrt r.\nAnswer: -5*t**2 - 16416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 3*k + 5 = -8*k, 0 = -5*t + 4*k - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**2 - 19*d - 38. Let x be s(21). Solve -2*v - 5*j + 8*j + 1 = 0, 2*j = 3*v - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 15*x + 22. Determine j(-9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*r - 7*r - z - 11 = 0, r - z = 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 5.16 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 21000 (base 5) to base 11\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 10*l**2. Let m(j) be the third derivative of -67*j**4\/12 + 764*j**2. Calculate a(m(q)).\nAnswer: 179560*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) 3\/5 (d) -3\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 125*g**3 - g + 1. Let t be q(1). Let m be (-4)\/18 + -17 + (-1180)\/(-45). Let a be 15 - m - (-396)\/9. Calculate the greatest common factor of t and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 398677?\nAnswer: 3588093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**5\/w**3)\/(w*w**(-3)\/w*w*w**(-3)\/w) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -129 - -128. Let s = -23 - 1.6. Let h = -25 - s. Sort 1\/10, y, h, 4 in descending order.\nAnswer: 4, 1\/10, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5 + 0 - 3)*(0*f + 0*f + 2*f) + 296*f + 139919 - 139919)*(-2*f**3 + 4*f**3 - 4*f**3).\nAnswer: -560*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -758, -1534, -2310, -3086, -3862?\nAnswer: -4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 2 x, and 1 k when four letters picked without replacement from {r: 2, k: 3, x: 3, m: 3, u: 2}.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 881146 is divided by 226.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n + 1. Let a(h) = -5*h**3 + h + 1. Let k(b) = 2*b**3. Let j(u) = 3*a(u) + 8*k(u). Give -j(x) + 3*p(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tlxlllrts. What is prob of sequence rtl?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 17*b + 7*b. Solve b = -0*k + k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*g**3 - 5*g + 35*g**3 - 5*g + 7*g.\nAnswer: -60*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*g**2 + 243*g + 9*g**4 + 2582*g**3 + 24 - 19*g**2 - 2531*g**3 + 3*g**2 wrt g?\nAnswer: 108*g**2 + 306*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153 a factor of 1193859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92059582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffk when three letters picked without replacement from {d: 2, f: 1, e: 2, x: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -5*x**3 + x**2 + 2*x + 1. Let i be r(-1). Let m = 6 - i. Differentiate -2*n - 2 + m + 0 with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8*((1190\/28)\/17)\/(6\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -3*i + 1. Let s be k(2). Let c(q) = -q - 6. Let w be c(s). Let t = 2905 + -2902. Sort w, 1, t.\nAnswer: w, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -583 - -890. Suppose t + 4*h = o, 0 = -3*t - 0*t + 4*h + 937. List the prime factors of t.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 116732 is divided by 38906.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-7)*f*f\/(f*f\/f**11*f))\/(f**(2\/15)*f)**4 assuming f is positive.\nAnswer: f**(202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - t + 26 = 3, 15 = a - 5*t. Suppose a = 4*h + 21. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18 + 17 - 131425*x**2 + 128980*x**2 as k*x + w + g*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 519 is divided by 136.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be (72\/(-15))\/(4\/(-30)). What is the greatest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 30 - 14 - (0 + 18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -45 - db0?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -149\/180 - -1\/36. Let k = -21 - -39. Let c be 4\/6 - 102\/k. What is the nearest to -1 in c, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-12.3.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 125 divided by -8799751?\nAnswer: -125\/8799751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 59, -0.2, 7\/51, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6 - 1 - (-18 - -24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 - 2 - 0 - -15. Let l be (m\/(-10))\/(12\/(-90)). Suppose 7*c = l*c - 8. Solve 0*f - d - 11 = 5*f, -24 = c*f - 3*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 7 - 1 = 5*u, 0 = -3*u - 12. Let v = -95 + 94. What is the closest to v in h, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 891 and 6203340.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 766 - 763.48. Let y = u - 2.02. Which is the closest to 0? (a) 4 (b) 0 (c) -2\/11 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 38 - 31. What is the tens digit of (77\/2)\/c*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-595*i - 1011*i - 412*i + 207*i)*(-5 + 2 + 2)*(i + 1 - 1) to the form n*i + l + d*i**2 and give d.\nAnswer: 1811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 38 = -3*v + 14, 3*v - 12 = -2*p. What are the prime factors of (-138)\/(-9) - 2\/p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -8655438, -34621779, -77899012, -138487137, -216386154, -311596063, -424116864?\n\"Answer: -8655446*j**2 - 3*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*63\/(-56)*(-20)\/3 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -9\/2, 125, 2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-10 - 9 - 3)*(0 + 6 + 2*o - 4) - 5*o + 6*o + 4*o as i*o + w and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -731*r**2 + 309 wrt r?\nAnswer: -1462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -283 - -282.98. Sort 2, -2, f in ascending order.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 - 210*r + 1388. Determine u(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -542841 divided by 17511.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -1420.6756 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72103453.\nAnswer: 463, 155731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 51579571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43 - 13. Let r = 44 - x. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 + -10. Let m = q + 21. Differentiate 168*s - m*s**2 + 19 - 168*s with respect to s.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9.539 + 9.53925836. Round m to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2028, 1806, 1584, 1362?\n\"Answer: -222*y + 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 130273 divided by -13.\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2296 is divided by 114?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 5*l**4\/3 - 1085*l**3\/3 + 58315*l**2\/3 + 59405*l\/3 = 0. What is l?\nAnswer: -1, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1368 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q\/q**(-2\/15))*q**(-5\/2))\/(q\/(q*q**2)*q\/(q\/(q*q**(-7)))) assuming q is positive.\nAnswer: q**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g - 6. Suppose n + 0 = 5. Let b(q) be the first derivative of 1\/2*q**2 + 1 - 5*q. Calculate n*d(o) - 6*b(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1042523359 to 5 decimal places.\nAnswer: -0.10425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.9 - -2. Let o = -390 - -779\/2. Let l = 64\/7 + -9. What is the third biggest value in d, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29 - 21. Suppose -k = -0*k - l. Suppose k - 20*g - 9*g**4 - 3*g**4 + 5*g**3 + 4*g**2 + 15*g**3 = 0. What is g?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83 = -31*i + 196. Solve 7*d = 4*d + 2*a - 13, 4*d - a + i = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -78, -59, -14, 69, 202, 397?\n\"Answer: 2*k**3 + k**2 + 2*k - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 7 + 5 + (-16 - (8 - (25 + -12)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-29)\/(725\/(-30)))\/((-6)\/40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.06 + -0.06. Which is smaller: -17 or f?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2. Let n be (-1)\/(-3) + 10\/6. Let t(z) = n - 2*z + 1 - 3. Calculate p(t(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1933620 and 722388?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 2*b + b)*(17*b + 31*b - 20*b).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((((w**1\/w)\/w)\/w)\/(w**(-13)*w))**39)**(-1\/21))**(-42) assuming w is positive.\nAnswer: w**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -44\/34370525 and -64\/465165?\nAnswer: 309334725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**11*n*n**(-6)*n*(((((n*n**(-11))\/n)\/n)\/n*n)\/n)\/n**(-4\/3) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.012237 to 4 decimal places.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 18*p**3 - p**2 - 3*p + 1. Let x be v(2). Let f = x + -56. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 - 8*b**2 - 3. Let s(o) = 2*o**3 - 17*o**2 + o - 6. Let w(v) = -5*i(v) + 2*s(v). Let d be w(3). What is the greatest common divisor of d and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -64\/23 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*z - 20*z - 6*z + (-4 + 1 + 1)*(z - 5 + 5))*(4*z + 3*z + 0*z) - 60*z**2 - 42*z**2 + 137*z**2 to v + i*z**2 + g*z and give i.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2545885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1013220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 2 - 2)*(3 + 16 + 32)*(3 + 0 + 0)*(0 - 2 - 2)*(3 - 1 - 3 + t).\nAnswer: 612*t**2 - 612*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 61 - 60. Let x be 282\/4 - u*(-15)\/10. Suppose -x = -3*m + 189. What is the greatest common divisor of 29 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-6)\/156*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3545621*a**3*q + 2240826*a**3 wrt q?\nAnswer: 3545621*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5222 and 2.\nAnswer: 5222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5300 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of o**4\/4 - o**3\/2 + 20*o**2. Determine k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2269 + -2274. Put a, 1, 1\/5, -2\/13 in decreasing order.\nAnswer: 1, 1\/5, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 53066 and 2821.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or -1.708176?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.061 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40*189\/810*(-9)\/(-4)*(-32)\/(-28).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m + 36. Let c be j(-14). Let i = c - 17. Let f(s) = s**2 - s - 1. Let l be f(3). Solve l*w + i = 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.6 less than -1500.47945?\nAnswer: -1503.07945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the second derivative of p**4\/4 - 37*p**3\/2 + 279*p**2 - 1936*p. Solve x(z) = 0 for z.\nAnswer: 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n - 2*n + 2*n. Let q be -4*(90\/(-12))\/(-5). Let i(u) be the first derivative of -u**2\/2 + 1. What is q*v(k) + 3*i(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-1 - -4) + 0 + -1 + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h - 10. Let q be z(7). Let y = -18 + -21. Let w = y + 39. Sort w, q, 1.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 73.499 rounded to zero dps?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -5500716 divided by 2750358?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 314\/1 + -5 + 11 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 - 14. Let h(f) = 3*f**2 - f - 2. Let m be h(i). Let z be ((-4)\/6)\/(m\/(-21)). Which is the nearest to z? (a) -2 (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000012243716 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70) + sqrt(70) + -3*sqrt(70) + sqrt(70))\/sqrt(10))**2 + 5 + -4*(sqrt(42)\/sqrt(150) + sqrt(7)).\nAnswer: -24*sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 31285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 44598613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3*o - 3)*(-5 + 2 + 1)*(348 - 348 - 41*o) to the form y + d*o**2 + j*o and give d.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-8) + (2\/(-16) - (-316)\/16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 5*i - 8. What is n(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -42444 (base 6) to base 16.\nAnswer: -169c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 29 and -0.946.\nAnswer: -27.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -2*b**2 - 1 + 6*b**2 + b**2 - 3*b**2. Let n = -7 - -8. Determine u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4 + (4 - 5)*-631696. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from pppphhhhsp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1017767.\nAnswer: 43, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2116\/(-2116)*8\/2*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 9 + 4 + 4*h)*(9*h**2 - 127*h**2 + 15*h**2) - 3*h**2 - 5*h**3 + 3*h**2 in the form c*h + g*h**3 + s + i*h**2 and give g.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-107 - (-19 - 27)) + -3.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - 3*u**2 - u + 1. Let f(a) = 6*a**3 + 22*a**2 - 8*a - 16. Let m(x) = -f(x) - 5*g(x). Determine m(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, 2, -1 in descending order.\nAnswer: 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 168 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 50503 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1854 - 1852. Let n = -0.2 + -3.8. Which is the second biggest value? (a) y (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 8:47 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*w + 62*w + 119*w**2 - 26*w - 155*w**2 - 26*w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -36*t**2 + 3*t. Let y(h) = -92*h**2 + 7*h. Let z(s) = -8*g(s) + 3*y(s). Let c(d) = 34*d**2. What is z(c(u))?\nAnswer: 13872*u**4 - 102*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 203 and 29.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b. Let a(l) = 5*l - 1. Let g be a(1). Let x(d) = -18 + 18 + g*d. Give x(m(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 5*w**3 + 23*w**2 + 61*w + 226. Give y(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do 471 and 1\/39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tpt when three letters picked without replacement from {p: 9, t: 10}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 55010 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -1 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3317823373 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1622993 divided by -663?\nAnswer: 1622993\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 60*x**2 + 16. Let i(z) = -20*z**2 - 5. What is -5*d(y) - 16*i(y)?\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -12906*l + 613640 = -18242*l for l.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1582972.\nAnswer: 2, 17, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -9 and -1685351063276.\nAnswer: -1685351063285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 4*k**3 - 10*k**2 + 5*k + 9. Let w(h) = -5*h**3 + 9*h**2 - 4*h - 8. Let i(m) = -4*a(m) - 3*w(m). Let t be i(9). Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 13 = -p, -2*p = 5*j - 7*p + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 51 = 8*d. Calculate the remainder when 64 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -2*o - 35. Let m be (-2756)\/(-65) - (-2)\/o. What is the highest common factor of m and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.004 - -659.004. Let z = -655 + w. Let k = -0.5 - -0.9. What is the third smallest value in -2, -1, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 AM and 2:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 15*a + 16*a)*(-18*a**2 - 24*a + 24*a).\nAnswer: -522*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 PM and 11:07 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a\/((a\/((a\/(a*a\/(a*a**(2\/7)\/a)))\/a))\/a)))**(-2\/7)*(((a**(-2\/7)*a)\/a*a)\/a)**(-19\/3))**(-20))**29 assuming a is positive.\nAnswer: a**(-112520\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/16 and ((-154)\/(-99))\/(-7) + (-401)\/(-3276).\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -549 + 545. Let c be (-3)\/((-108)\/(-1950)) - n\/24. Is -105\/2 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-93)\/11 - 1398\/2563.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 831 and 1385?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 AM and 3:34 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 3685, 7324, 10925, 14494, 18037, 21560, 25069?\n\"Answer: g**3 - 25*g**2 + 3707*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 8484800 to the nearest one hundred thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 325*z - 249. Is v(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 208478862 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2397748164 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w**3 - 12*w**2 - 10*w + 8. Let j(s) = -s**3 + s - 1. Let f(u) = -j(u) + o(u). Let l = -15 - -4. What are the prime factors of f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -4*b**3 - 3*b**2 - 7*b - 6. What are the prime factors of r(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*k + 18333*k**2 - 1571*k**2 - 9261*k**2 + 32361*k**2 + 1.\nAnswer: 39862*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -f**4 - 8*f**3 - 23*f**2 - 28*f - 12 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r**3 - 650834*r**2 + 105909239369*r - 4235328304360 = 0. Calculate r.\nAnswer: 40, 325397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + l = 3*o + 2, 9 = -3*l. What is the third derivative of 2*w**3 - 2*w**3 - o*w**5 + w**2 - 4*w**2 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 5*l - 59669 + 649, 4*l - y = 47213. Is l a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 13465 = 3*z, -5*c + z + z + 13460 = 0. Round c to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(6\/11)*n)\/(n*n*(n\/(n\/(n*n**2\/n)))\/n) assuming n is positive.\nAnswer: n**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d = 20*d - 145. What is the units digit of ((6*d)\/2)\/(6\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in -5*n**3 + 1936240*n**2 + 42599500*n + 77454000 = 0?\nAnswer: -20, -2, 387270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the second derivative of -o**5\/20 + o**4 - 11*o**3\/6 + 6*o**2 - 2*o. Let v be z(11). Calculate the highest common factor of 36 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 12108 divided by 2\nAnswer: 6054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k + 5. Let o be m(-5). Let q = -15 + 16. Is 76 - ((q - 2) + o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39 - -37. What is the tens digit of 17 + 9*d\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 9874138 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2390, -129 in descending order.\nAnswer: 3, -129, -2390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -181, -990, -3191, -7480, -14553, -25106?\n\"Answer: -116*d**3 + 3*d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2862091 is divided by 928.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*i + 3*i. Let x = -9 - i. Let l be (-3)\/x + (-20)\/(-45). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -180 in -0.3, -2\/5, -4\/7, 4\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -58 + 63. Suppose -781 = -v*g + 429. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 10 (b) 5 (c) 0.03 (d) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 845*j**3 + 4615*j**2 + 1995*j + 225 = 0. What is j?\nAnswer: -5, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 + -10. Let l(s) = -j + 4*s + 5 + 0. Calculate l(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8443, 8375, 8285, 8173, 8039, 7883?\nAnswer: 7705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert c25c4 (base 13) to base 2.\nAnswer: 1010100111111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1213, 2500, 3787, 5074, 6361, 7648?\nAnswer: 8935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 7238+1\nAnswer: 7239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3.3 + -3. Let o = 0.1 - d. Let f = -5.2 - o. What is the nearest to 1 in -1\/7, 3, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 229388.\nAnswer: 2, 57347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 465*z + 4*i = 462*z + 20, 0 = 2*z + 5*i - 18. Let y(u) = -2*u - 1. Let r be y(-5). Solve -z*v + 20 = -r*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.507 + 4.91. Let f = x - -0.097. Which is the nearest to -2\/23? (a) -0.2 (b) -2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3497777669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9318 - -9313. Put 12, 4, 5, d, 3 in decreasing order.\nAnswer: 12, 5, 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 - 1. Let w(k) = -k**2 - 13*k - 11. What is the remainder when w(-11) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113725\/784 smaller than 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55 - 52. Suppose 3*t - 23 - 70 = 2*q, 3*t + o = 0. Let l be 4\/6*8\/q. Which is the second smallest value? (a) l (b) -0.4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 PM and 3:55 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**3 - f**2 + 6*f - 3. Let n be x(-3). What is the common denominator of 80\/(-36)*(-2)\/4 and n\/(-14)*18\/4?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1122.7616 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of 4*y**2 - 58. Let r(x) = 3*x**2 - 2*x. Let u(p) = 7*p**2 + 69*p - 74*p - 2 + 2. Let j(l) = 5*r(l) - 2*u(l). Give b(j(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 12:17 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 240? (a) -5 (b) -0.1 (c) 13 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -55 = -15*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-44)*5830\/636?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 + -3 + -3 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 2*y - 12. Suppose -6*x + 27 = z - x, 5*x = -3*z + 31. Factor 2 + 4*d**5 - d**2 + y*d**3 + 5*d**z - 6*d**4 - 2*d**5 - 6*d.\nAnswer: 2*(d - 1)**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*d**2 - 4*d**2 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4\/5 - 2\/5. Let c = -1.55 + 1.55. What is the third smallest value in c, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 329 = 116*l - 251. Let a = 44 + -19. Solve 15 = -3*i, 4*b - a = l*i + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -400*z**2 + 71 + 215*z**2 - 5*z**3 + 186*z**2 in the form a + h*z**3 + n*z**2 + o*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*t + 85*t - 6768 = 0. Calculate the lowest common multiple of t and 256.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2892657311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + 5. Let i = -120 + 126. What is the remainder when (-2)\/(-2)*(7 + o) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 40, -208, -894, -2240, -4468, -7800, -12458?\nAnswer: -18664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46892 is divided by 46781.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*8\/(-132))\/((-18)\/9).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 94 = 29*i - 80 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*d = -2, 2*o - 4*o + 3*d = -24. Let j(k) = 20*k**2 + 2*k + 6. Let i(c) = -7*c**2 - c - 2. Let g(w) = -17*i(w) - 6*j(w). Determine g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 + 1)*(-g + g - 2*g)*(-5*g - 4*g**2 + 5*g).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-30)\/2)\/5 - 5. Let a be (-55)\/(-20) - 2\/x. Solve s - 5 = -4*g, 9 = -4*s - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -275, -4, 1\/3, 0.2, 0.5, -5 in descending order.\nAnswer: 0.5, 1\/3, 0.2, -4, -5, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -216, -261, -336, -441?\n\"Answer: -15*r**2 - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 3\/2 (b) -1 (c) -2\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 151203366.01104772 + -151203390. Let i = h + 22.888953. Let z = i - -1.1. What is z rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 88 + -86. Suppose -33 = -4*z + 5*t, 4*t = -2*z - 4 - 12. Solve 11 = -2*l + d - 2, z*d - 18 = m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 200165301?\nAnswer: 3, 7, 37, 43, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2656 divided by 32.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 34027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract 690 from -2165330.\nAnswer: -2166020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 217585477*w**3 - 89240938*w?\nAnswer: 1305512862*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**3 - 4*u**2 - 2*u + 3. Let i be f(-3). Let r(c) = i*c - c + 2*c. Let k(d) be the second derivative of d**4\/4 + 3*d. Give k(r(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 426*r - 1354347 = 7080*r + 6495*r for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 + 6*p - 1. Let z be a(-5). Let u = z + 22. What are the prime factors of 6\/u - 1130\/(-16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u**2 + 2127*u - 103*u + 761*u + 262*u + 770*u to f*u**2 + j*u + g and give j.\nAnswer: 3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -106 + 576. Suppose -3*l + 2*l = q. Let v = l - -184. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 70 * -9\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 3*i - 24, t - 4 = -5*i + 2. Determine m, given that -t*m**2 + 0*m**2 + 2*m**2 + 4*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 - 13*t**2 + 5*t + 26. Let u be g(-13). Let p = 22 - -11. Let j = u + p. Let o(q) = -q**2 - 8*q - 8. Calculate o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 249 = 247. Let k(v) = -7*v + 16. Let m be k(8). Is m equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36 + 41. Suppose 3*b = 2 - u. Let o(i) = -1117*i + 2 - 3 + 1120*i. Give o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/(x*x**(-1\/3)*x)))**(-32)\/((x**4*x)\/((x**(2\/7)*x)\/x)))\/(x**(-2\/21)\/(x*x**5*x))**27 assuming x is positive.\nAnswer: x**(2804\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13785007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand z**5 + 2*z**5 - 5*z**5 + (z**4 + 2*z**4 - 5*z**4)*(-3*z + z - z) - 13*z**3 + 13*z**3 - 30*z**5.\nAnswer: -26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2403628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.5 - -3.57. Let q = m - -0.33. Which is bigger: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -8*s + 96. Let a be w(12). Suppose -5*r + 5*m + 1775 = a, -3*r + 159 + 909 = -4*m. What is the highest common factor of r and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r**3 - 3*r**2 - 5*r - 449. Let g(k) = -4*k**3 + 5*k**2 + 9*k + 899. Give -5*g(z) - 9*j(z).\nAnswer: 2*z**3 + 2*z**2 - 454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*y - 5*y = 4*w - 28 - 59 - 8, -y + 11 = -w + 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 1 - (-2 + 0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -138 - -129.5. Let b = y - -63.3. Round b to zero decimal places.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000519091002 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -682831\/7 - -97738. Let s = c + -191. Let j = 0 + -1. Sort j, 5, s in decreasing order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 3*a - 79 = -5*c, -23 = -c + 3*a. Suppose -3*r + 2*w = 0, c = r - 4*w + 8*w. Solve -7*p + r*p = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1289579 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 10:10 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 406609.1 days in minutes?\nAnswer: 585517104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - 1) + 3 + 0. Let o(l) = -4*l**2 - 277*l + 216. Let u be o(-70). Calculate the greatest common divisor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 5*o**3 + 4*o**2 - 5*o - 3. Let n(a) = 4*a**3 + 4*a**2 - 4*a - 3. Let j(r) = -5*b(r) + 6*n(r). Let p be j(3). Solve 4*u - p = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 616 and 2912?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5\/15)\/((-5)\/(-75)) - 2. Suppose -6*w + 4*w - 371 = -v*f, 369 = 3*f - 3*w. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(3*(sqrt(80) - (-3 + sqrt(80) + 0 + sqrt(80)))**2 + (-6*(5 + 1*sqrt(80)))**2).\nAnswer: 5472*sqrt(5) + 16188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5285, -5289, -5289, -5285, -5277?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/3*r**2 + 8\/3*r + 0.\nAnswer: -4*r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -2224924\nAnswer: -3\/2224924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 5*i**2 - 5439603*i - 2175842 = 0.\nAnswer: -2\/5, 1087921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 760\/(-114)*(-504)\/(-35)*(-4)\/(-6)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 + 9*q**2 - 13*q - 36. Determine r(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50351736.\nAnswer: 2, 3, 2097989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -6b43?\nAnswer: 6b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 10:26 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 789, 1509, 2201, 2859, 3477, 4049, 4569?\nAnswer: 5031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3\/2 + 8*l**2 + 46*l - 120.\nAnswer: -(l - 20)*(l - 2)*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + m**2)*(1 + 2*m**3 - 1) + (-7*m**4 + 3*m**4 + 3*m**4)*(0 + 3 - 2)*(-4 + m + 4).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 498929\/137676 + -279\/77. Let x = -102508253767\/894 - -114662456. Let v = f - x. Calculate the common denominator of v and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -677426 (base 8) to base 6.\nAnswer: -4524502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -31536.33307 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -119932, -119930, -119928?\n\"Answer: 2*r - 119934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 254 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 2*t**2 + 12*t - 6. What is the units digit of h(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1693329855 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 836 + -836. Factor 0*j + 0*j**2 + t + 12\/7*j**4 - 18\/7*j**5 - 2\/7*j**3.\nAnswer: -2*j**3*(3*j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -8*o - 404. Let z be a(-51). Solve -4*p + 6 = z*x - 2*x, -4*p = -4*x + 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 282 and 1553961?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 3*s - 13844 = 3*v - 13782, 3*s = v + 47 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*f**2 - 75566560*f - 285515249511680.\nAnswer: -5*(f + 7556656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 68 + 2626 = 0. Suppose -2*g + 3*g - i = -2*k, -1120 = -5*k - 5*g. Suppose k = 8*d + d. Solve 2*p - 6*p + 5*y + 5 = 0, 0 = 5*y + d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, c: 2, j: 6, b: 10}. What is prob of sequence bb?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -3*g + 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*(-16)\/(-40))\/(-1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 5 = -l. Let o be (-7 - 3) + (-5)\/l. Let k be (4\/((-48)\/o))\/(-6). What is the smallest value in -2\/3, k, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 - -4. Let u be 160\/(-9) - 4\/z. Is (0 + -3)\/(3\/u) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**2 - 1858560*k - 172712263680.\nAnswer: -5*(k + 185856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4731 or 5247?\nAnswer: 5247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tdi when three letters picked without replacement from {i: 1, j: 1, t: 3, s: 1, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 11 + 19 = 0. Is (0 + 7)*(c + -1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17024, -32489, -47954?\nAnswer: -63419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-1))\/(-12*(-252)\/14256)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2214?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.4 - 0.4. Let i = -0.433 - -0.033. Which is the third smallest value? (a) y (b) -3\/5 (c) -2\/9 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:57 PM and 2:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5*46\/((-9660)\/(-5586))\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 616*s - 86 + 432*s - 268*s with respect to s.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 54410\/438660 - (7 - (-186)\/(-27)) and -31\/6.\nAnswer: 14622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4805734633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*b = -33*b + 3700. List the prime factors of b.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*z - 2*z + z - z + z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -380*i**2 + 2*i - 36. Let k(a) = -2*a**3 + 8*a**2 - 8*a + 10. Let g be k(4). Let c be z(g). Round c to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 520939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)\/sqrt(5))\/sqrt(3) + sqrt(16)\/sqrt(2)*-3 + (sqrt(32) + (sqrt(32) - (sqrt(32) - (sqrt(128) + sqrt(32)))*6))\/(1*sqrt(4)*2))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 280839558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (0 - -1) + (32 - 37)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + 139?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -12225 - 434?\nAnswer: -13103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that i**4 - 650*i**3 + 111628*i**2 - 5764536*i = 0.\nAnswer: 0, 118, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8810, 8816, 8828, 8846, 8870?\nAnswer: 8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000012086514 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -521, -3964, -13297, -31466, -61417, -106096?\nAnswer: -168449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2625 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 168519 and 467103.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -3*j. Let h = -5 + 8. Suppose -w = -4*c - 3 + 5, -1 = w - h*c. Let a(f) = -5*f**w - f - 6*f + 7*f. Calculate v(a(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -24, -65, -106, -147, -188, -229?\n\"Answer: -41*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 100*r**2 - 203*r**2 + 108*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0\/i)**(-12\/7)*i**(-7)\/i**1 assuming i is positive.\nAnswer: i**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*j - 33 - 65. Let b = 810 - 757. What is the remainder when b is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2137 = -6*x + 3*p - 2206, 12 = -3*x - 3*p for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(5 + -4*((0 + sqrt(1377) - sqrt(1377))**2 + 1)*-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 330 and 6542415.\nAnswer: 13084830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 2*f**2 - 8*f - 8. Let i(k) = k. Let h be i(8). Let c = -4 + -1. Let r(u) = -7 - u**2 - 5*u + 2 - 4*u**2 + 6*u**2. Give c*o(v) + h*r(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.24 + 0.3. Let c = t - 2.06. Let r be 2\/(-2)*(-1)\/(-4)*-2. Sort r, 0.4, 4, c in descending order.\nAnswer: 4, r, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33 and 3047?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - u - 20641218 = 0. Suppose 27599980 = -3*f - 5*j, -4*f + 3*j - u - 16158794 = 0. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxxdx. Give prob of sequence xddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of -2\/7*y**3 - 2\/7*y**2 + 0*y**4 + 0*y + 7 + 2\/35*y**5. Suppose j(n) = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n + 5. Let v(d) = 3494*d + 5. What is i(h) - v(h)?\nAnswer: -3493*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -81 + 502*p**2 + 158 - 77 in the form s + r*p**2 + b*p and give r.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00086766 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*o - 7 = 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -100101100 (base 2) to base 9.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 114 = -2*m, -9*m - 2*k + 13*k + 147 = 16*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*6*(sqrt(1573)*1 + sqrt(1573) + 4) - -3*(sqrt(1573) + 0)*-3*4)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**5*w)\/w**(7\/2)*(w\/((w**(2\/3)*w)\/w))**30)**(-10) assuming w is positive.\nAnswer: w**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7864719 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4*(8 + -5 - 1*2). Suppose -4*i = 16, 5*q - f*q = 5*i + 11. Is 9\/(-6)*(-12)\/q - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 133*y + 77. What is the units digit of j(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24.4 + 97.1. Let w = -67 + i. Let s = -6 + w. Which is the biggest value? (a) -0.1 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-104)\/160 + (75\/12 - 6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 2*o + 1. Let h be v(-1). Let p(b) = -11*b + 3. Let m(k) = -208*k + 56. Let w(g) = -3*m(g) + 56*p(g). Give w(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 - -26f029?\nAnswer: 26f02a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1442585 is divided by 360645.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -9399 divided by -3\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 83295799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -29*k**2*s**2 + 1715159*k**2*s - k*s**2 + k*s + 2781*k - 69*s - 17 wrt k?\nAnswer: -58*s**2 + 3430318*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -38*a + 42*a. What is the greatest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 4*y = -968, 0 = 3*f + 5*y - y - 952. Let n(p) = -p**2 - 29*p + 128. Let l be n(0). Calculate the highest common divisor of l and f.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -17.1 in 0.2, 51, 5, -0.4, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8785 - 3539. Suppose 2*t = 2*b - a, -39*b = -38*b - 5*t - 2607. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 1:28 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 6237*i + 529. Is q(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 29*c**2 - 2*c + 2. Let k(g) = 57*g**2 - 5*g + 5. Give -2*k(n) + 5*q(n).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6438\/407 - (-4)\/22. Find the third derivative of -48*m**3 - t*m**5 - 24*m**3 + 59*m**2 + 17*m**5 + 13*m**3 wrt m.\nAnswer: 60*m**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = q - 2*t, -4*t + 16 = -4*q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (0\/1)\/(-2*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -500 by -4.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of 137\/30*o**6 + 0*o**2 + 0*o**3 + 197\/12*o**4 + 1\/10*o**5 - 303*o + 0. What is the third derivative of b(q) wrt q?\nAnswer: 3288*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3822190?\nAnswer: 2, 5, 311, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - 839?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -150 (base 7) to base 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -279950, -559958, -839962, -1119962, -1399958, -1679950, -1959938?\n\"Answer: 2*m**2 - 280014*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -121034*r**2. Let h(i) = -3*i. Calculate h(k(c)).\nAnswer: 363102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 - -27800272?\nAnswer: 27800273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 28 = -6. Suppose -5*k + g = -14. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -4*v + 16, i + 2*v + 5 + 2 = 0. Let y(d) = d**3 - 3*d**2 + 2. Let h be y(2). Sort 2, i, h.\nAnswer: i, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 AM and 8:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 11 = 5*m + 3, 2*x - 4*m = 30. Let c(d) = d**2 - 10*d + 10. Let w(u) = -2*u**2 + 21*u - 21. Let a(l) = x*c(l) + 6*w(l). Solve a(p) = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10593148243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - g**2 - 1. Let a(l) = 6*l**3 + l**2 + 2*l + 1. Let r(i) = a(i) + 5*c(i). Calculate r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4564, -4538, -4494, -4432, -4352?\nAnswer: -4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**4*r + 268*g**4 - 43*g**2*r - 11*g*r wrt g?\nAnswer: -48*g*r + 6432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-7)*1 - (-80)\/70. Suppose -v + 1 + 4 = 2*k, 3*v - 10 = -k. Let q be k + (-3 - 0) - 1. Which is the closest to 1? (a) 0.3 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from thtw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 323200142 (base 5) in base 12?\nAnswer: 567441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9208280 divided by 10009.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zgz when three letters picked without replacement from {m: 7, r: 8, g: 3, z: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is z in -2*z**3\/7 - 41704*z**2\/7 - 1540382*z\/7 - 1498680\/7 = 0?\nAnswer: -20815, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 2*h**4\/3 + 104*h**3\/3 + 34*h**2 = 0.\nAnswer: -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 210 = 4*l, -8*m = -3*m - 15. Suppose -k + l = 2*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9, -72, -135, -198, -261, -324?\n\"Answer: -63*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 16\/((-1536)\/3288) + 33\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(242)*1)\/sqrt(11))\/(sqrt(2) + (sqrt(2)*2 + sqrt(2))*3) - (4*(sqrt(11) - sqrt(176)) - (3*sqrt(396) - sqrt(11))))*5.\nAnswer: 291*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 28*c**3 - 10*c + 480.\nAnswer: 84*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -11*z**3 + z + 5. Let f(k) = 6*k**3 - k - 2. Suppose q = -0*q + 5. Let s(p) = q*f(p) + 2*i(p). What is the second derivative of s(g) wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b**3 + 10*b**2 - 14*b - 11. What is j(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2007044)\/20280 - 6\/180.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add together 2 and -12450680.\nAnswer: -12450678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(224)\/(sqrt(24)\/sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 + s**2 + 2*s - 2. Let p(d) = 2*d + 0*d**3 - 2*d**3 + 1 + 3*d**3 - 3*d. Give 2*p(u) + v(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 7, z: 2}. What is prob of picking 2 p?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 4 + 2 + (-18 - (-9 - -6) - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2.667972119 rounded to 3 decimal places?\nAnswer: -2.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 9. Let z = 0.33 + -0.03. Let o = 4.6 + -5. What is the biggest value in o, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h + h = 11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 697 = 15*t - 53. Let q be -87*(-10)\/15*t\/4. Suppose 2*f - 2191 = -f - 5*j, -q = -f - 3*j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((4*1*sqrt(880) - sqrt(880))*5)\/(-1*sqrt(45) - ((3*sqrt(10) - sqrt(10) - sqrt(10)) + sqrt(10))\/sqrt(2)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 32325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -13366*t - 106945. Give r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 12979 = 12946. Let p(c) = -c**2 - 25*c - 155. What is p(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-2*36\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -75, 962, 2681, 5082, 8165?\nAnswer: 11930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -30 (b) -5 (c) 487 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 PM and 12:06 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.029199136 rounded to four dps?\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -18. Let a be (-1308)\/28 - (-4)\/q. Let j = -424\/9 - a. What is the nearest to -1 in j, -5, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/28)\/(5\/(-30)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -4*m - 9. Give y(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2397, -2428, -2459, -2490?\n\"Answer: -31*a - 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 4*d + 21, 4*w - 17 = 2*d + 11. Which is the biggest value? (a) 4 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 146061 = -v. Suppose -5313 - v = -2*f. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4486313.7 rounded to the nearest one thousand?\nAnswer: -4486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*y - 15 = 17*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (11 - (-40 + 36)) + (-1 - 0 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-seven quarters of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -9*z**3 - 11*z - 18. What is the lowest common multiple of f(-2) and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 - 4*j + 2. Let u be i(4). Suppose -3*z - 4*s - 13 = 0, u*z - 4 = 4*z - 2*s. What is the units digit of (-6 - -15)*(-8)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 3147 - -2*84\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(5) - (5*sqrt(20))**2 - sqrt(5) - 5*sqrt(40)\/sqrt(8).\nAnswer: -500 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3*j = -3*u + 80, -4*j = -4*u - 64. What is the highest common factor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78742 is divided by 1406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2)*(2 + q - 7 + q).\nAnswer: -4*q + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 98702 by -34.\nAnswer: -2903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 86119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -166 + 174.9. Let x = -2.7 + p. What is x rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*q = -10*q - 763. Let u = 164 - q. Calculate the greatest common factor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (u**3 + 2 - 2)*(1500 - 2487 - 2415) in the form m + z*u**3 + g*u + o*u**2 and give z.\nAnswer: -3402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17.45 + -18. Let w = x + 0.25. Which is the second smallest value? (a) w (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fggggqgqggqggggg. Give prob of sequence qf.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 315.6527 millennia?\nAnswer: 31565.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v**7*v*v**(1\/2))\/(v**(-5)*v\/v**(-1)*v) assuming v is positive.\nAnswer: v**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -231782727 divided by -132523?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 38 = 5*u - 17, 5*u = g + 25. Let l(c) = -15 - c**2 + 6 - c - u*c + 0*c. Suppose 7 = -2*o + 5*i, i + 11 = -o - 4*i. What is l(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74794453 divided by 2.\nAnswer: -74794453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -2*o - 642, -2*w - o - 3*o + 636 = 0. Let v = 303 + w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 15009 and 105067\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -14) + -8 + 12 + (43 - 77).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of -t**4\/2 + 10*t**3\/3 - t**2\/2 - 2*t + 12. Let n be h(5). Let q = -3 - n. What is the smallest common multiple of 6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -95\/58636 and 19\/4280?\nAnswer: 586360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13417 + 29670. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26251 divided by 1?\nAnswer: 26251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**3 - 5*b**2 + 7*b - 35. What is a(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -20*n**2 + 17. Let s(k) = -2*k**2 - k**2 - 4*k**2 + 6. Let d(m) = 6*h(m) - 17*s(m). Let q(f) = f**2 + 2 - 2. Calculate q(d(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 1869*n + 24044. What is y(-13)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes before 9:34 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 9\/72 - 355\/(-40). Suppose -y*x - 200 = -1109. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*o + 25*o + 25*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2792*w + 83754 = -2279*w + 3294*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002667 to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -815 - -814. Let g be -8*((-14)\/(-21) - (-3377)\/(-5052)). Is g less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 79 = 3*f, -5*f + 0 = 10. Suppose -y*b + 0*b = -1037. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -31d - -3?\nAnswer: -31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 27 - 0. Suppose 2*m = -5*t + 75, 1 - 4 = -t + 2*m. Suppose 0 = -5*j + a + t. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from mmxxyxxxxxxyxmymxymm?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 - 2*i**2 - 3*i + 3. Suppose 2*y + 2*t = 20, -t = -5*y + 10 + 10. Suppose y*j - 1 = l, 2*l - 3*j - 2*j = 3. Is h(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6601 + -6593. What is the remainder when 966 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 69*o. Let r(j) = -j**2 - 777*j. Give r(x(k)).\nAnswer: -4761*k**2 - 53613*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the third derivative of r**7\/840 + r**6\/360 + r**5\/120 - 13*r**4\/24 - 3*r**3\/2 - 6*r**2. Let t(k) be the first derivative of a(k). Calculate t(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 - 4*v**2 + 5*v - 679. Give o(0).\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 429\/110 + -4*1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*p**3*r**4 - 5*p**3 - 14*p**2*r + 8*p**2 + 428*r**4 wrt r?\nAnswer: -48*p**3*r**2 + 5136*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 341162523*b**6 + 3497767*b**2 - 5 wrt b?\nAnswer: 40939502760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 4*l - 5*b - 22 = 0, -4 = -4*b. Let d(p) = 138*p - 1088. Calculate the remainder when d(8) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 3 + 1 = 0. Let d = q - -4. Find the third derivative of -2*r**d + 2*r**2 + 3*r**2 - 4*r**2 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d**4 - 12*d**3 + 45*d**2 = 0. What is d?\nAnswer: -15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 595 and 297808567?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 120 by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 852\/28 + 12\/(-28). Let c = 25 - g. Let h(a) = a**2 + 3*a + 4. Calculate h(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 4*q**2 + q - 2. Let p be b(4). Suppose 3*o - p = 4*o, -2*i = -o - 30. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 4 = -0*a. Suppose 0*h - 4*h - 12 = 0. Let y = h + 3. Solve y = -a*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 196 - -5?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -29, -12, 27?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 15 = 2*v. Let y be -1*(-8)\/v*3. Calculate the remainder when 32 is divided by y\/(-12)*(-33)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170685477593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/4110 and -38\/137163.\nAnswer: 187913310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/5)\/((-627)\/1045)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 434574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y**2 + 14*y**2 - 68 + 33 + 37 + 4*y**2.\nAnswer: 25*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-28)\/6*(0 + -36). Suppose 13*c = 8*c + 105. What is the greatest common factor of c and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 times 0.8942?\nAnswer: -5.3652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 5*n - 65, 3*w + 0*w = -5*n + 41. Suppose q + 4*g = 27, 2*g + w = 5*g. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 807.8344 and -133?\nAnswer: 940.8344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1027241000 rounded to the nearest 1000000?\nAnswer: -1027000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 13117510 rounded to the nearest 100000?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 1509 + 13*m + 270 + 134 - 10*m - 5*m. Let f(t) = t. Give k(f(z)).\nAnswer: -2*z + 1913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2894 - 2869.27. Let r = a + -23.643. What is r rounded to two decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 1850.35.\nAnswer: -925.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.4, -472 in descending order.\nAnswer: 0, -0.4, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22 + 31. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -27*n**2 - 11*n - 9. Let q(d) = -14*d**2 - 5*d - 4. Give 13*q(l) - 6*x(l).\nAnswer: -20*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 90\/1309 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 180\/(-160)*(4\/6 - 2). What is the closest to -1 in 0.4, w, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-28)\/21*3\/(-2). Let l(w) = w**2. Let a be l(2). Suppose 0 = 5*q + 4*k - 18, 0 = q - 0*k - a*k + 6. Solve v*f + q = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 10:35 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4224 - -4220. What is the fourth smallest value in -1, -0.1, 14, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18564, 18565, 18566, 18567, 18568, 18569?\nAnswer: 18570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(136) - (sqrt(136) - sqrt(136)*-1)) + 1*-1*sqrt(136) + sqrt(136))*2)\/((3*sqrt(72)*-1)\/(sqrt(9) - sqrt(81)\/sqrt(81))).\nAnswer: -20*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 195 by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 + 2*c - 10)*(-8 + 1 + 21).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/5 or -154?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14000767*m**3*u**2 + 6*m**2*u**2 + 4072*m*u**2 + 61*m*u - u**2 wrt m?\nAnswer: 84004602*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**2 + 9879*j - 89154.\nAnswer: 3*(j - 9)*(j + 3302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 60103, 120280, 180457, 240634?\n\"Answer: 60177*u - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 98.054 - 0.054. Let s = m - 84. Do 2 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-3\/5)*d**(1\/6))**(18\/5)*((d\/(d*d**(2\/3)))\/d)**(3\/7)*d**1\/(d**(5\/4)*d) assuming d is positive.\nAnswer: d**(-2467\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}