diff --git "a/data/dm_maths/full_data_2/16_11255.jsonl" "b/data/dm_maths/full_data_2/16_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/16_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor 3*u**2 + 2871*u - 5754.\nAnswer: 3*(u - 2)*(u + 959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 879\/232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 234558067 - 589022.\nAnswer: 233969045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9*v + 84 = 0, -76 = -5*p - v + 106. Solve -2*a + 40*k - p*k + 11 = 0, 0 = -k - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*b**4 - 2*b**2 + 201*b**4 - 100*b**4 - 3 - 4*b + 6 as l + v*b**4 + a*b + t*b**2 + z*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 6 (c) 0.468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q - 2*q)*(3*q - q - 4*q) + (2 - 2 + 3)*(-5*q**2 + 3*q**2 - 2*q**2) to the form d*q**2 + i*q + r and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517\/870 + 1\/174. Let t(p) = 2*p + 25. Let q be t(-11). Let y = 0 + 0.1. Which is the nearest to y? (a) q (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 61*b**2. Let n(l) = -6*l. What is n(g(m))?\nAnswer: -366*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.48 + 0.12. Let g = 4 + -3.2. Let x = q - g. What is the third biggest value in x, 0.3, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1358, 5450, 12274, 21830?\n\"Answer: 1366*i**2 - 6*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12555\/558 - (-267)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 44*r - 168 + 65 as w + v*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2452 by -3.\nAnswer: -2452\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164 * -1.408.\nAnswer: -230.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.7 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55609013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(832) + 0)*3 + -3 + -3 + (sqrt(832) - sqrt(832)*2))**2.\nAnswer: 288*sqrt(13) + 3409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let p = 59 + -58.5. Let r = 22.36 - 29.36. Which is the smallest value? (a) r (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w + 5. Let z(l) = 4*l**2 + 3*l. Let q be z(w). Let g be 3\/(-18)*q\/12. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/(((x**17\/x)\/x*x)\/x))\/(x**(6\/13)\/x*x*x*x**(-2\/23)) assuming x is positive.\nAnswer: x**(-14090\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474082.\nAnswer: 2, 7, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kixxkiixiiiik. What is prob of sequence iik?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630220271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90, 190, 320, 486, 694, 950, 1260, 1630?\n\"Answer: d**3 + 9*d**2 + 66*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902468 divided by 27.\nAnswer: 902468\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = q - 5*j, -q - 3*j - 83 = q. Let n = q - -85. Is 43 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -z, -3*z = -5441*x + 5440*x + 31 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118.08 + -115. Let t = 0.08 - j. Which is the second biggest value? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 104 = 11*k. Is -16 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 - 12651*h**2\/2 - 126603*h\/4 + 75951\/2.\nAnswer: 3*(h - 8439)*(h - 1)*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((28 + 2)*(-14)\/35)\/(12\/(-6)). Solve 18*g - y*g = -72 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -178d?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/45 + 77\/5. Is 2 a factor of (27\/h)\/((-1)\/(-15)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33121108 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.71 - 28.749. Let k = g - -10. Let n = -0.101 - k. Round n to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2781 = -2*u + 29*u. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(833) + -3)**2 + -5 + -3 + 3 + sqrt(833) + 4)*2.\nAnswer: -210*sqrt(17) + 5046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0*i**2 + 0*i**2 + (13 - 13 + 29*i**2)*(-3 - 2 + 6) as u*i + j + k*i**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k + 2. Let m be a(5). Does 36 divide m\/10 + 609\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -667, -0.3, -35, 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) + (-21)\/4. Suppose -4*n - 8 = 8. Do s and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-21)\/6 + -2. Let a be -2 + -1 + 145\/u. Let f = 50 - a. Calculate the greatest common divisor of f and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 20, 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -10) + -12 + -7 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 9 = 0. Solve -f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -50*p + 166. Let l be m(3). Solve -2*v - l = 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -8 + (7 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 153*y + 2648. What is t(-17)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + j - 11. Let v(q) = -q**2 + 5. Let s(t) = 4*r(t) + 7*v(t). List the prime factors of s(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) -5 (c) 1 (d) 0.017 (e) 0.079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7*y + 2*i - 14 = 0, 4*y - 3*i = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/2 - 3273*v\/2 - 36245 = 0.\nAnswer: -22, 3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024284862 to 7 decimal places.\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63486, 253941, 571378, 1015797, 1587198, 2285581, 3110946?\nAnswer: 4063293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.465 - -3.4. Let k = 0.625 - h. Let m = k - 0.7. Round m to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 3*r**2 + 5*r + 3. Let y(x) = -x**3 + x. Let f(s) = -l(s) + 6*y(s). Let w be f(-2). Is (2 - w)\/(2\/(-482)) 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 -79\/4 and ((-3)\/(-2))\/((-114)\/16)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*b + 56592 = 679*b for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/15045 - 3916717\/30090. Let n = 308\/3 + g. Find the common denominator of n and (-1 - -2) + (-82)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-7) - -2) + 1\/1. Solve -7*a - y*o = -2*a + 26, 2*a + 4 = 2*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 646844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449 + 449.05. Which is the third biggest value? (a) z (b) 2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -1\/2*m**2 - 2\/5*m**5 + 34\/3*m**3 + 7\/4*m**4 - 76 + 0*m. Find the third derivative of b(f) wrt f.\nAnswer: -48*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 5*x - 56 = 0, 32*x = 4*w + 28*x + 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -508*(-1 + (4 - (-395)\/(-20))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 84. Sort -5, t, -7.\nAnswer: -7, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561050 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*((7 - 3 + 0)*(0*b - b + 0*b) + (2*b - 4 + 4)*(-6 + 1 + 3) + (-1 + 2 - 3)*(-6*b - b + 8*b) - 5*b + b + 2*b) to the form c*b + a and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*o - 93*o - 2*f + 2, -4*o = -2*f + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i - 14 = -2*f, -i - 4*f + 18 = 0. Let p(h) = -2*h**2 + 2*h**2 + h**i - 2. Let g be p(-2). Solve -t = -g*z + 5*z, z + t = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-33)\/22)\/((-2)\/4). Let u be (r + 39\/(-9))*27\/(-12). Solve -u*i = 4 - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = -0*u. Let i(g) = 4*g - 3. Let d be i(u). Let v be (-1)\/(-4) - d\/4. Solve -s = -v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/16 in -4, 0.3, 1, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 - (-2 + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 7. Calculate the remainder when 35 is divided by m(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 25 = -5*a, 0 = l - 4*a - 708. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387495760 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 9. Let u(w) = 1. Let p(i) = -4*u(i) + y(i). Find the first derivative of p(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tngg when four letters picked without replacement from {s: 1, g: 5, t: 1, c: 2, n: 1, p: 5}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 110 + 6 + -4. Suppose 3*c - 5*q = 68, 4*q + 3 = -1. Calculate the greatest common factor of x and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*i + 280 = 13272 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1410*b - 4228. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-10)*(-222)\/666. What is the nearest to -0.3 in 44, k, 2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -13. Let r = 21.9 - t. Let m = -1.1 - r. Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (52 - 154) - (0 - -10)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-926 - -919) + 45 + -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-28))\/((-275)\/(-110)))\/(6\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*m - 559*m - 192*m + 0*m + 132*m as b*m + s and give b.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeezeeeeezeeeeeeeee. Give prob of sequence zz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7599 and 75021.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/34*(4\/(-5))\/(142\/497*-14)?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 + 5*a**4\/12 + a**3\/3 + 11*a**2\/2 - 336*a. Calculate z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3082, 6073, 9064, 12055, 15046, 18037?\n\"Answer: 2991*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109123 and 12614.\nAnswer: 11567038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2220 + 2221. Which is the second biggest value? (a) 0 (b) 0.09 (c) 11\/4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147) + 0 + 3 - (1 + sqrt(147))*-6)**2 - ((3 + sqrt(147) + 2)*4)**2.\nAnswer: -112*sqrt(3) + 6737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2624954, -2624957, -2624960, -2624963, -2624966, -2624969?\n\"Answer: -3*n - 2624951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let u = -116 + 115.6. Which is the biggest value? (a) u (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103110233031 (base 4) to base 16\nAnswer: 4d4bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*2767.58\nAnswer: -22140.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 27204 = 47*l - 51*l, z + 2*l - 6799 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4 + 2.9. Let y = -6 - q. What is the closest to 1 in 0.2, -3, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379758864 by -1592.\nAnswer: 238542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -46. Let s be 140 + (-12)\/(-2 + n). Suppose 2*d - 28 - 107 = 5*p, 2*d + 4*p = s. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 5. Let r be t(0). Let h = r + 3. Does 14 divide (9\/(-2) - h)*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 3*j - 1\/6*j**3 + 0 + 1\/2*j**2. What is m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203231 (base 4) to base 10.\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 2\/15 in increasing order.\nAnswer: -3, -0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 55. Let m be g(29). Let k be (-85)\/51 + (-50)\/m. What is the highest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820817 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1134138 divided by -11119.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1495 - 1494.7. Are d and 25\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l*z**4 - 18*l*z**3 - 89*l*z**2 - 227*z**4 + 2*z**3 - 6698*z wrt z.\nAnswer: 264*l*z - 108*l - 5448*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 185 = 482. What are the prime factors of c\/165 + 1793\/5?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 2 = -21*i - 5*r, -2*i - 4 = 4*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2146246659.1 and -2115.7.\nAnswer: 2146244543.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u - 16. Suppose 10*z + 14*z = 29*z. Determine f(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 65 + 385. Calculate the highest common divisor of y and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127839624 - 127839618.2300289. Let o = 0.06396 - 5.83396. Let s = o + v. Round s to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0, -0.3, 2\/7, -4, 151?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -46. What is the remainder when 55 is divided by (-4 + p)*(-24)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10439 - 13*y**3 + 10444 + 0*y**2 + 4*y**2 to b + s*y**3 + m*y**2 + l*y and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 1. Suppose 0 = 4*v - 27 + 3. Let t(b) = -4*b + 2. Let z be (-3)\/(-5) + 102\/30. Let u(c) = v*m(c) + z*t(c). Give u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = -5*t + 4*b, -2*t + 3*b = -10. Let i(c) = -5 + 0 - t*c + 27 - 15. Calculate i(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -110, 0, -3.94, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 13*m = -a + 6, -18 = -5*a - 4*m. Suppose 540 = a*k + 18*k. Calculate the greatest common divisor of 12 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 758, 4529, 14756, 34667, 67490, 116453?\n\"Answer: 538*t**3 + 5*t + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 149*v**2 - 6*v + 3. Suppose 0*r = -2*r - 3*h + 21, 45 = 2*r - 5*h. Let q = r + -13. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 150\/(-8)*2\/(-10). Let a = -0.3 - 0.7. What is the closest to a in 1\/6, -0.02, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 11}. Give prob of sequence rrll.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*q - 3*t, -16 = -5*q - 2*t + 6*t. Suppose 264 = -q*b + 7*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 883839768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 2)**2*-2 - (sqrt(2) + (-2 + sqrt(2))**2 + 0)) + (sqrt(144)\/sqrt(2) + sqrt(24)\/sqrt(3))**2 + 1.\nAnswer: -5*sqrt(2) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c + 147921 = 144728 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 207*z + 35. Let x(o) = 12. Calculate -f(t) + 3*x(t).\nAnswer: -207*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*m**2 - m**4 + 2*m**4 - m**2 - 4 to s*m**3 + t*m**2 + d + h*m**4 + i*m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 1. Let n(p) = 1. Let v = 507 + -506. What is v*t(j) - 2*n(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425836 is divided by 159.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 211?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 47523*v + 23. Let g(j) = 2*j + 51. Give x(g(d)).\nAnswer: 95046*d + 2423696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1344*u - 1337*u - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182006473852 take away 16.1?\nAnswer: 6182006473835.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 2*h + h. Suppose -5*q = -3*q - 4. Let u(f) = 4*f**2 - 8*f**2 + 0*f**2 - 8*f**q. What is i(u(k))?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0723 + 0.1723. Which is the closest to 0.9? (a) v (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695484694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 4)*2\/(-6). Which is greater: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*c - 206*c = 25. Solve 3*d = c*k + 7, 4 + 17 = 5*k + 4*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4 - 1\/2*g**3 - g + 5\/4*g**2 = 0. What is g?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-9))\/(36\/54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40845, 40850, 40855, 40860?\n\"Answer: 5*s + 40840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:57 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 4*a**2 + 363*a**3 + 3*a**2.\nAnswer: 363*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2502 + -0.4\nAnswer: 2501.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2054 and 4316?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 17209550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)\/c**(2\/3)*c**(3\/4)\/(c**(-6)*c*c) assuming c is positive.\nAnswer: c**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1170 and -53\/702.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*y**3 + 233*y + y**2 - 232*y + 1 + 7*y**2 - 8*y**2 to the form c + m*y + w*y**3 + h*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -406521 + 0?\nAnswer: -406521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*r - 740 = 94 + 531 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -739, -1499, -2259?\n\"Answer: -760*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66377 (base 13) in base 14?\nAnswer: -4b693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3 and (-400)\/(-234) + 12\/(-78).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 729 divided by -84304\nAnswer: -729\/84304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7595, -15079, -22451, -29711, -36859, -43895, -50819?\n\"Answer: 56*v**2 - 7652*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j**4 + 0*j**5 - 1\/480*j**6 + 0*j - 2*j**2 + 0 + 0*j**3 - 1\/840*j**7. Suppose y(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 3. Let m(q) be the second derivative of -13\/2*q**2 - 2\/3*q**3 + 1\/20*q**5 + 0*q**4 + 96*q + 1. Determine -2*m(h) - 9*r(h).\nAnswer: -2*h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198594.\nAnswer: 2, 3, 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q. Let f(s) = -s**2 - s + 13. Let j be f(q). Let a = j + -9. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + c - 1 = -5, 3*s - 3*c - 18 = 0. Let i = -1 + 0.6. Let m = 0.6 - i. What is the smallest value in -2\/13, -0.1, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r + 1. Let y(d) = -d. Let s(b) = -v(b) + y(b). Suppose 4*z = 7*k - 2*k - 29, k - 6 = z. What is s(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:32 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/247?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/(s*((s\/(s*s**(1\/6)\/s))\/s*s)\/s))\/((s*s**(-13)*s)\/(s**(3\/16)\/s)) assuming s is positive.\nAnswer: s**(139\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) 1 (c) -13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0113 and 0.073.\nAnswer: 0.0008249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 14 = 2. Let f = -1 - 5. Let l = f - z. What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832) + 0 + 2 + (-2*sqrt(832) - sqrt(832)) - -3*(sqrt(832) - (sqrt(832) + -1 + 2)))**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than -15361577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2202.88 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/8 - 2\/8. Let y be p\/10 + 22\/5. Suppose -g - q = -6, 2*g = -9*q + y*q + 27. Solve c + g = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 48*x**2 + 97*x + 170. Let s be c(50). What is the highest common divisor of 1410 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q - 10*q + (-2*q + 2*q + q)*(4 - 4 - 2) + 13*q + 0*q - 3*q)*(-2 + 1 + 2)*(-2*q + 1 - 1).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from hhhhhhhhhhhhchhhhhh?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0 = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/443, 154, -25?\nAnswer: 2\/443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 - 214. Calculate the remainder when 205 is divided by 4 + 90\/c + (1 - -30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (0 - 0) - -48. Let q = 70 - s. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.001 centuries to years.\nAnswer: 6600.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 2. Let q(y) = -3*y + 1. Let j be (-1 - 0) + 5*-4. Let f = j + 18. Let v = f - -10. Give v*q(t) + 3*n(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*f, 4*z - 244 = -3*f. Let i = z - 11. Calculate the remainder when i is divided by 2\/14 + (-696)\/(-28).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 6*k. What is the closest to -0.1 in 0.4, k, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 3*w + 4. Let r be s(1). Suppose -3*k = 3 + r, k - 64 = 2*p. Let h = p + 33. Which is greater: h or 1\/55?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*j - 179, 21*y - 3*j = 18*y + 534. Calculate the smallest common multiple of 33 and y.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*1 + (sqrt(55)*2)\/sqrt(11).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(5670\/28)\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 638.\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -81.5. Sort 0.4, 1, z in descending order.\nAnswer: 1, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10872 and -504.02.\nAnswer: 5479705.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 3*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*w + 6, -h - 12 = h + 2*w. Let m = -4 - h. Let l = 0.36 + -0.06. What is the closest to m in l, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153*p**3 + 2283*p**2 - 180*p.\nAnswer: 3*p*(p + 15)*(51*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/4 + 19*f**2\/2 + 123*f\/4 = 0.\nAnswer: -3, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.48 in 1, 3.1, 3, 0.1, -123?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 28*z**5\/5 - 3*z**4\/2 - 103*z**3 + 827. Find the third derivative of o(t) wrt t.\nAnswer: 672*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.31 + -0.31. Let n = -3 - i. What is the closest to 1\/2 in 5, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - x**5 + 3 + 4*x**2 - 2*x**5 - 4*x**2 - x**5 - 5*x**4 + 5*x**4 + (x**2 + 0*x**2 - 3*x**2)*(x**3 - 2*x**3 + 0*x**3).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -130*t - 1. Let i(o) = -2*o + 494. Calculate i(l(g)).\nAnswer: 260*g + 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -2\/1407543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -21*h**3 + 11*h**2 - 22*h. Let d(w) = -7*w**3 + 4*w**2 - 7*w. Calculate 4*c(i) - 11*d(i).\nAnswer: -7*i**3 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1141713552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 189?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 127990*a**2 + 819199980*a + 1637888040.\nAnswer: 5*(a + 2)*(a + 12798)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/33846 and -11\/24.\nAnswer: 135384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 0. Let s = 0 + m. Let g be 8\/30*(-8)\/(-16). Put s, 5, g in descending order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h = -265*h + 11129 - 2219 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98 - (-52 - -44)) + 50?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 + 5*m - 9. Let n be d(-7). Let r(v) = -v**3 + 7*v**2 - 8*v + 11. Calculate the remainder when 56 is divided by r(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3))**(7\/4) assuming a is positive.\nAnswer: a**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 10*w**2\/3 + 2*w\/3 + 10\/3.\nAnswer: -2*(w - 1)*(w + 1)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 98*f + 52. Put -0.2, f, 56, -3\/2 in decreasing order.\nAnswer: 56, f, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 25*d**2 + 6. Let x be b(25). Suppose 4*v + x*o = o + 109, 3*v = o + 58. Calculate the remainder when 104 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -129 (c) -2\/7 (d) 0.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 379. Let s(k) = -k**2. Let f(q) be the third derivative of q**5\/20 - q**2. Let j(y) = p*s(y) + 2*f(y). Let u(g) = -4*g. What is j(u(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 21*p - 19*p + 68, 5*p + 42 = 2*n. Calculate the remainder when 126 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let d = -972\/1403 + 29\/61. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51272 is divided by 51239.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 19*d - 29. Suppose 12*u - 7*u - 60 = 0. Let z(i) = 17 - u - d*i - i. What is z(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(44\/(-44))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*h - h. Suppose 5*z - 201 = 3*l, -4*l = -0*z + 4*z - 180. Let b = z - 41. Solve -9 = h*j - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*g + 6 + 5, 0 = 3*g + b. Let q(c) = -c + 5. Let u be q(g). Solve 5*j = u*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**3\/3 - 1. Let m(w) = -w**2 + 2*w - 2. Let a(o) = -4*o**2 + 7*o - 7. Let q(n) = 2*a(n) - 7*m(n). Give q(s(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/7 - 48*t**3 - 666*t**2\/7 - 332*t\/7 = 0.\nAnswer: -166, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1 + 3*q**2 - 41880*q + 41884*q - 5*q**2. Calculate y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) + 28\/(-24) + 1. Suppose 3*k + 5*v = 2*k + 14, 4*k - 2*v - 56 = n. What is the smallest common multiple of k and (-1 + -1)*1*-29?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 90*o - 15. Let k(i) = 13*i - 2. Let x(f) = 85*f + 597. Let t be x(-7). Give t*z(w) - 15*k(w).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1101?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 1123890007*o + o**3 - 33 - 4*o**3 - 1123890007*o.\nAnswer: -o**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6609 + 2932 - 3455*v + 3062 wrt v.\nAnswer: -3455","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2614607, 5229225, 7843833, 10458425, 13072995?\nAnswer: 15687537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 17*v**2 + v + 77. What is the units digit of o(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.3 + 94.3. Which is the closest to 3? (a) q (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 10*v**2 + 11*v + 4. Let n(d) = d**3 + 4*d**2 - 3*d - 1. Let f be n(-5). What is the smallest common multiple of b(f) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/(-3))\/(32\/16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 444 - 29*s**3 - 444)*(3*s + 0*s + 2*s)*(-1 - 3*s + 6 - 5).\nAnswer: 435*s**5 + 90*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 5)*(-4 + 1 + 2)*(-2*w**2 + w**2 + 0*w**2).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25184*o**3*z**2 + 1216*o**2*z + 2*o*z - 3*z**2 wrt o.\nAnswer: -151104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24.904, -3, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = 0, -3*a = -4*d - 13 + 35. Let y be 3\/a*(-1)\/3. Suppose -73 - 179 - 13 = 53*x. What is the closest to y in -2\/9, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -5610.85.\nAnswer: -11221.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 17*z + 4. Let m be l(17). Let v(k) = k**3 - 3*k**2 - 2*k - 5. Let x be v(m). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 (base 8) in base 6?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255715, 511413, 767111, 1022809, 1278507, 1534205?\nAnswer: 1789903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (-2 + 4)) + 72 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 49*v**2 + 199*v - 546. Calculate j(3).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 46079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x**3 - 2*x**2 + 13*x**3 + 0*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from hkhvhhdz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -85\/2. What is the fourth smallest value in h, -1, -4\/7, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-6)\/12 - (-2535)\/6?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/30 and 101\/42568806.\nAnswer: 212844030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o*o**1))\/o*o)\/o)*o)**19)**(9\/5)*(o**(1\/5)\/o**(-2\/13))**6 assuming o is positive.\nAnswer: o**(1806\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1496736 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 94, 259, -2\/7, -4?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -33 - 1 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g - 33*g - 1290 = -60*g. Solve -g*x + 104 = 89 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w - d + 5*d, -2*w + 1 = -5*d. Suppose w = t - 25. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-983289)\/(-128511) + (10\/40)\/(3\/16)).\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + v**2 + 2*v**2 - 5*v**2 - 7*v**2 + 86*v to the form p*v**2 + h + o*v and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10321233 (base 4) in base 16?\nAnswer: 4e6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -93*l**3 + 18*l**2 - 6*l - 10. What is the tens digit of g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 5732043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 2*w - 334990, 335015 = 5*i - 3*w. What is i rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpppwppwwpp. Give prob of sequence ppp.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 0*j + 13*j)*(1328 - 373 - 666).\nAnswer: 1734*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 2*r**2 + r - 3. Let o be d(-3). Solve -3*w - 30 = o*q, 2*w + 5*q - 10 = -45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from {s: 2, c: 11, h: 3, y: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*n)*(-9*n**3 - 5*n**3 + n**3).\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 0*r - r + r - 2*r + 4*r + 2*r - 4*r + (1 - 1 - 2)*(-3*r - 4*r + 5*r) + 3*r + 0*r - r - 2 - 2*r + 2)*(-r + 4*r + r)*(3*r + 0*r - r).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 250*m**2 + 13272*m + 740. Determine y(295).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 6*j - 10*j - 6 + 12, -51*g = 2*j - 55 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -513*w + 505*w - 8. Put 6, -2, 3, w in increasing order.\nAnswer: -2, w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w - l - 16 + 5, 4*w + 2 = l - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -1\/2*r + 0*r**3 + 1\/16*r**4 + 76 - 3\/8*r**2. Find g such that h(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(25\/(-90))*25*(-8)\/80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3 and 17\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -w, 2*h - h + w + 2 = 0. Let l be (4 - h)*(-52)\/(-6). Calculate the greatest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -1 + 2 + (57 - -22) + -47.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*-76\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or 0.0879?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*8*287\/(-492)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71073 and 2208987?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let g = 19 - 14. Suppose 6*j = j + g*r + 15, -5*j - 5*r + 5 = w. Solve j*n + 6 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754*j**3*o**3 - 21*j**3*o - j**3 + 2*j**2*o + 243*j*o**4 + 12266*j*o + 38*o wrt o.\nAnswer: 4524*j**3*o + 2916*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 6*q)*(-1 + 2 + 0 + (1378 + 1206 - 2359 - 1 + 1 + 2 + (2 - 4 + 3)*(0 + 0 + 1))*(2 - 2 - 2)).\nAnswer: 1365*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15708 = -1150*c + 1031*c. What is the greatest common factor of 3652 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1298 - 1354 - (3 - 40).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakqaaaqkwvaaakwkq. Give prob of sequence qwk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + 19 + -23\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/4000?\nAnswer: 1\/4000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7849957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:26 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/70 - (-3186)\/45. Calculate the highest common factor of 168 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w - 4. Let q be l(-2). Let d be -5 - -2 - -4 - q. Let r(o) = o**3 + 4*o**2 + 2. Determine r(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 3*f + 3. Let t(u) = -9*u**2 + 27*u**3 - 7 - 28*u**3 + 2*u**2 + 7*u. Determine -3*t(n) - 7*v(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b + 84. Let t be q(8). Let y = 10 - 8. Solve -6 = -y*z + t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Let d be (-1 - -1)*s\/(-6). Suppose d = -2*v + 9 + 1. Solve -2*c = x - 0*x + 2, -5*c - v = 4*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 10128.05kg?\nAnswer: 10128050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(396) - 2*sqrt(396)) - sqrt(22)\/sqrt(32) - (sqrt(1331) + sqrt(1331) + 0)*6)**2*1.\nAnswer: 3315411\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 18*f**2 - 25*f + 120. Let q be d(19). Solve -b + q*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + f**3)*(-2 + 0 - 9).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jppp when four letters picked without replacement from jpjjjjpppjpppjjj?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 1527825*d - 1527822.\nAnswer: -3*(d - 509274)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/8 - 2*k**3 + 4011*k**2\/4 - 29093*k - 240781\/8 = 0.\nAnswer: -109, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c67 - c47?\nAnswer: -29ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 3*i**2 - i**2)*(-3*i + 3*i + 4*i) - 6*i**2 + 9*i**2 - 18*i**3 - i**2 in the form d*i + v*i**2 + s + g*i**3 and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 37*x + 2. Let w(u) = 37*u + 2. Calculate 2*t(d) - 3*w(d).\nAnswer: -37*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 229 + 1151 = -4*l, 1381 = -4*l + 3*u. Let i = -338 - l. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/4 + 10*c**3\/3 - 9*c**2\/2 + 19*c + 633. Give d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(1280) - sqrt(1280) - sqrt(1280))*3)\/(-6*sqrt(144)*2 + -4*2*sqrt(144) + sqrt(144)).\nAnswer: -12*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 - 245411584*x\/13.\nAnswer: -2*x*(x + 122705792)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116994*a = -116623*a + 18179 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u - 7*u - 45 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 + 16 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(6\/17)*h)*h)\/h*h**(-2\/51))\/(h**(2\/89))**(-9\/7) assuming h is positive.\nAnswer: h**(20231\/31773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17830 + -17819.05. What is a rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -7.8831.\nAnswer: -8.2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -624*m + 2215. What is the thousands digit of j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:28 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (16 + -14)\/((-1)\/2). Solve z*d = 2*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(605) + sqrt(605)) - sqrt(605)) + 1*sqrt(605) + -5 + (4*sqrt(1260))\/(sqrt(1008)*2))**2.\nAnswer: 210*sqrt(5) + 2230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**3 - 3*w + 3. Let t(m) be the third derivative of -m**6\/30 + m**4\/12 - m**3\/3 + 12*m**2. Calculate 3*t(k) + 2*y(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -2\/5, -5 in ascending order.\nAnswer: -5, -2\/5, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -10. Let i(u) = -3*u**2 + 2*u - 2. Let o be i(c). Let t = o + 19. Calculate the highest common divisor of t and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 4*w**2 - 5*w - 6. Suppose 5*d = -5*f - 20, 2*f = 6*f + 5*d + 21. Suppose -p = -f - 4. What is q(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 502*l**3*w - 319*l**3 wrt w.\nAnswer: 502*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12)\/(11\/(-132)). Suppose -3 = -z, l*g - 20*z + 16*z - 1180 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/5 + 82*w + 8405 = 0 for w.\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 4*o**3 + 3*o - 1435 + 1435 + 35*o**2 - 2*o.\nAnswer: o**3 + 35*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**3 + 2*o**2 - 3*o - 3. Let m(n) = -4*n**3 + 3*n**2 - 2*n - 2. Let u = 84 - 87. Give u*m(f) + 2*i(f).\nAnswer: 2*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 250 = 7*a. Let b = 70 + 5. Calculate the greatest common divisor of b and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -149961 + 409341. List the prime factors of b.\nAnswer: 2, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.06, -9\/2, -31?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, -975, 3 in descending order.\nAnswer: 4, 3, -14, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -10*u + 9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2559 = -4*f + 2*d, -2*d = -3*f + 1913. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60077, -241704, -544417, -968216, -1513101?\nAnswer: -2179072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9128703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.95 - -51. Let k = -0.05 + u. Which is the second smallest value? (a) k (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/2263, -1\/6, 0.9 in ascending order.\nAnswer: -1\/6, -6\/2263, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bggwgpw. Give prob of picking 2 g and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-15)*1\/(-2). Let v = 0.3 - -0.7. Let c = 1.5 - v. Sort 4, x, c in decreasing order.\nAnswer: 4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371854 is divided by 36954.\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 484\/12 + (-2)\/6. Suppose 5*a - s + 10 = 0. What are the prime factors of 1 + 2\/(a\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j + 5*f, 5*j - f - 2*f - 13 = 0. Let p = 34 + -24. Suppose 0 = 2*a + p - 78. What is the highest common divisor of j and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 31 - (-347 - -313) - 103.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3974, 7985, 12036, 16127, 20258, 24429?\nAnswer: 28640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1047550, 1047549, 1047548, 1047547, 1047546, 1047545?\n\"Answer: -t + 1047551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9338?\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -775 - -774.94. Which is the closest to f? (a) -0.2 (b) -0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-21) - 2\/7. Put f, 2\/5, -1 in decreasing order.\nAnswer: f, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j + 88*j - 5*y + 47 = 0, 33 = j + 3*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -12*b**5 + 2248*b**4 + 25676*b**3 - 64104*b**2 - 323712*b + 114048 = 0.\nAnswer: -12, -3, 1\/3, 4, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15*a + 9 = 12*a, 0 = 5*u - 3*a - 9. Solve -7*l + 15 + 13 = u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -1\/4 (c) 5 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2)*-1*12\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.045 + 36.455. Let c = r + -37. Let k = -98.2 - -98. Put k, -3, c, -5 in descending order.\nAnswer: k, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azyz when four letters picked without replacement from zzjtzzatayttyjyyz.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -792956*v + 5550669. Calculate l(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*p**2 + 9*p**3 + 72*p**2 + (-1 + 5 - 3)*(-p + 2 - 2)*(-3*p**2 + 2*p**2 + 3*p**2).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*z, -6*k + 9 = -5*z - 4*k. Let r be (-3 - z)\/(30\/(-45)). Suppose -2*h = -r*h + 8. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/5, 1073\/10, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204416355 a multiple of 6677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) - (2 + sqrt(147)))**2)*1 + sqrt(147) + -2 + -4)*2.\nAnswer: -20 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065542176 to five decimal places.\nAnswer: -0.06554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 285758?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:28 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-27 - (2 - (-11 + 11)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289.5007 - 8.\nAnswer: -297.5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 13 + 11 = 0. Suppose 0 = -2*q + 4*d + 32, -5*q + q = m*d - 76. Calculate the common denominator of ((-109)\/q)\/((-1)\/(-1)) and 39\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3 - 15. Suppose -2*d = m*d. Suppose 0 = -d*i - 5*i + 465. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4692*h**3*x**2 + 7625*h**3 + 2*h*x - 27315053*x**2 wrt h?\nAnswer: -28152*h*x**2 + 45750*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 + i + 3. Let a be c(0). Suppose t = 4*s + 2, 3*s + 10*t - 5*t - 10 = 0. Solve s*j + j + a*v = -4, 3*j - 2*v = 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y**2 + 6779*y. Let x(k) = -132*k. What is s(x(u))?\nAnswer: 296208*u**2 - 894828*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 2\/3*i**3 + 0 + 1\/60*i**5 + 5\/24*i**4 + 5*i**2 + 0*i. Let s be y(-6). Solve -3*f - 5 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 + 10*r + 20. Let m be d(-7). Find the third derivative of -m*p**5 - 112*p**2 - 64*p**2 + 126*p**2 wrt p.\nAnswer: -14640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/21 + 8)\/((-1)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071835 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 - 2.7. Let t = -9.61 - 0.39. Let u = -15 - t. What is the fourth biggest value in u, -1\/13, d, -6\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:49 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - -10 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3980 - 11914. What are the prime factors of d?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*r + 87. What is the greatest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18519 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 662 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Suppose 6 = -h + 2*h - 4*n, 2*n - 6 = -4*h. Let s(f) = f**2 + 2*f**2 + 2*f**h - 4*f**2. Calculate k(s(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - d - 1. Let f be (4 - 5) + 1 + 2. Let g be m(f). Let z = -3 + g. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 - 147.9. Let j be (-152)\/(-16) - 3\/2. Let z be (-3 + 26\/j)\/(-1). Which is the nearest to u? (a) -1\/3 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Suppose -2*g = 4*g + 384. Let c = 66 + g. What is the second smallest value in -2.8, q, c?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34680, 20, 2, -0.07, 5, 0 in decreasing order.\nAnswer: 34680, 20, 5, 2, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -90. Let q be 6\/10 + z\/25. Factor -1\/2 + 1\/2*r**q + r - r**3 + 0*r**2.\nAnswer: (r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -19, 137, -3, 0 in decreasing order.\nAnswer: 137, 5, 2, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 367516 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359033.1 rounded to the nearest one thousand?\nAnswer: 3359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 19*y + 20 = 0. Solve -y = j, q - j = 3*j + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29350*x + 8673 + 789 = 29210*x - 1178 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -37, -2, 1, 14 in decreasing order.\nAnswer: 97, 14, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/777 and -16\/35631.\nAnswer: 249417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33*r + 138. Let s be c(-26). Suppose -5*l = b - 498, 6*b - 2*l = 4*b + s. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -555998\nAnswer: -5559.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:06 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 19. Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + x - 4*x = 15, 5*i = -4*x - 20. Let k(w) = -23*w**3 + 5*w + 10. Let f(b) = 5*b**3 - b - 3. Let r(d) = -9*f(d) - 2*k(d). Determine r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001101 + 100?\nAnswer: 100000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b9 - 15?\nAnswer: -7ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/44)\/((-9)\/(-24)*1*(-471)\/1413)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9692321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202269896 and 17632.\nAnswer: 809079584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 3 - 3)*(1 - 3 + 3) - 2*g + g + 3*g - g + 4 - 4)*(-3 + 1 + 1).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 84*u + 900. Let s be l(22). Solve -s*m = -x - 21*m + 6, 3*x - 14 = -m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 143115?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*a + 226*a - 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 10*f**2 - 17*f + 4. Give m(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*-54.6\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136177246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/10)\/3 + (-3442016)\/(-8190). Let o = q - 5448\/13. Find the common denominator of 91\/30 and o.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 divided by 3?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30381*j*o - 22600509*j + 423*o wrt o?\nAnswer: -30381*j + 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 29*f**2 - 14*f - 32. Determine l(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8))**2 - sqrt(2))*-2 + sqrt(2) + (sqrt(128) + -1 - sqrt(2)))*4*6 + 2 + -6*sqrt(18)\/(1*sqrt(36)).\nAnswer: -406 + 237*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15382 is divided by 104.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17865, -3 in decreasing order.\nAnswer: 1, -3, -17865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199777?\nAnswer: 199777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = d + 4. Suppose d = -2*f - 0. Let t = 178 - f. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358806902?\nAnswer: 2, 179403451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 12276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 12*x - 29. Calculate d(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0*t**(2\/13))\/((t\/(t*t**18*t))\/t*t\/(t*t\/t**(-1\/7))))**(4\/39) assuming t is positive.\nAnswer: t**(8116\/3549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -29. Let f be 2*(21\/n)\/1. Let k = f + 21. Solve 0 = -3*w + d - 20, -2*w - 20 = -2*d - k*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2510, 2, 28, 5, -1.\nAnswer: -2510, -5, -4, -1, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - i + 8 - 30 = 0, -5*z = -3*i - 24. Suppose 2*p - 4*a = z + 2, -p - 5*a - 3 = 0. Solve 0 = p*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012512 to five dps.\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v = 5*k - 249 + 965, -3*k - 20 = -k + 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1753*0.10832\nAnswer: 189.88496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -79, -197, -377, -625, -947, -1349, -1837?\n\"Answer: -z**3 - 22*z**2 + 11*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 3*b - 3 - 2*b + 0*b - 2*b**2 in the form d*b + g*b**2 + f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5\/2*k**3 + 1260895840 + 5970*k**2 - 4752120*k = 0.\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1 + 4\/4. Let g be -2 - (a - (-111)\/(-21)). What is the nearest to g in 4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = -11*b - 198 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/6 - 27*d. Let j(h) = -3*h**2 + 5*h + 1. Let o(w) = j(w) - 3*p(w). Factor o(v).\nAnswer: -(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbabba. What is prob of picking 1 b and 2 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 4408*t\/13 + 65790.\nAnswer: 2*(t - 1989)*(t - 215)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 778541638 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 3*d - 2*h, 4*d - 3*h - 3 = 0. Suppose d = 3*a - 55 - 125. Let y be (-2)\/4 - (-42)\/a. What is the nearest to -1 in 3\/4, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14150552 minus -0.2?\nAnswer: -14150551.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -14. Suppose -4*h + 26 = w*b, -6*h + 23 = -b - h. Calculate the common denominator of 37\/2 and 0\/(((-21)\/14)\/((-3)\/b)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2505244016 + 5?\nAnswer: -2505244011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.9 + 5.95. Let p = 0.05 - n. Sort 5, p, 3 in ascending order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 - 33*l**3 - 60*l**2 + 96*l = 0.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 34. Suppose -1162 = -4*r + 2*x, -y*r - 5*x + 829 = 266. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4496\/(-6) + (-2)\/3. Let i(w) = -w**3 + 15*w**2 - 3*w + 18. Let l be i(15). Let o be 150\/l*x*1176. What is o rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287 and 2195263?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*(-8)\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195582 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.1 times -0.032?\nAnswer: -28.6112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57416463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*f + 10*f + 132*f)*(2 - 2 - 2) in the form j + g*f and give g.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-198))\/((-10)\/12)*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 230*s. Let a(d) = 22*d - 296. Determine a(c(p)).\nAnswer: 5060*p - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q - 308 = -196 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 - 198*j**4 + 3381*j**3 - 15606*j**2 + 26028*j - 13608 = 0. What is j?\nAnswer: 1, 2, 3, 18, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110101010101100 (base 2) to base 13.\nAnswer: -57121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 minus -0.0205?\nAnswer: 1555.0205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 28.9 (b) 2\/3 (c) 0.02689\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3157\/369 - 9)*(-1)\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/156*(-3)\/(-20)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 225.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 128*i**2 - i. Let j be w(-1). Suppose j = 2*f - k, 3*f - 2*f - 5*k - 69 = 0. Round f to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2\/3*n**3 + 0*n**2 - 44 + 0*n. Let t(i) = -28*i - 1. Determine d(t(b)).\nAnswer: 1568*b**2 + 112*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-549 - -471 - (-2 + -13)) + -13\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 + 20*q**4 + 228*q**3 + 396*q**2.\nAnswer: -4*q**2*(q - 11)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**2\/(k\/k**(-4\/7)))**(-18\/11))**(-50))**44 assuming k is positive.\nAnswer: k**(10800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953 + 213 = 64*j - 12 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -4. Let f be (4\/6)\/(g\/(-6)). Let v be ((-30)\/(-3))\/(f\/70). Round v to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 4445, -9, 4 in increasing order.\nAnswer: -9, -6, -5, 4, 4445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -435 - -473. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000690752 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71285502583.9640102 + 71285519271. Let w = -16687 + l. Let o = w - 0.036. Round o to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 24 = -12*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 9)\/(1 - 0 - 0). Suppose -23*l + b = 3*q - 22*l, q - 2*l = -10. Suppose -3*o + 0*o + 9 = 0. Solve -o*y + y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/56)\/(2*(-1)\/8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-16)\/8040*(-175)\/(-1365)*13?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -149 (b) 70 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 6*q**2 - 142*q - 3 + 4 - 4 - 9*q**2 in the form o*q + b*q**2 + m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/2)\/((-2)\/(-14)). Let i be -2 - (2 - 11) - -3. Suppose -r - 4*s = -16, 3*s - i + 1 = 0. Solve -3*b = r*v + j, 0 = b + 3*v - 0*v + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -894669 = -20577397\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13540 (base 6) in base 10?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40411 - 4313?\nAnswer: 31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9359753.14279534 + 1275.85738866. Let t = b - 9361078. Let u = 49 + t. What is u rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*z - 5724, -8093 = -4*z - 3*s + 3319. What are the prime factors of z?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*g - 13 + 2, -3*o = 2*g - 4. Let n be 2 - 2 - (1 - 0). Let c = n - o. Is 1\/7 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 1085*u - 1138*u to s*u + n and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4463302 less than -4463344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 + 2574\nAnswer: 2570.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*y**2 + 2*c**2 + 5*c*y**2 - 157*c + 125*y**4 - 1 with respect to y.\nAnswer: 8*c**2*y + 10*c*y + 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1729 - 1713. Solve 2*i + 2*v = 7*v + 14, 4*i + v + d = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**4 + h**3 - h**2 - 1. Let b(d) = 17*d**4 - 16*d**4 - 3*d**2 + d**2 - 2. Let q be (2 - 0\/1)\/(-2). Let p(g) = q*b(g) + 2*c(g). Solve p(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyphuupus. What is prob of sequence up?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-26 - -13))\/(1\/(-1)). Suppose 0 = 3*b - h, j - 1619 = 10*b - 5*b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*z**6 + 1881030*z**4 + 3*z**2 + z + 9960558?\nAnswer: 4440*z**3 + 45144720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*x**5 + 31466*x**4\/7 + 46200*x**3 - 7282008*x**2\/7 + 38880*x\/7 = 0. Calculate x.\nAnswer: -15, 0, 4\/749, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.38.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*f**2 + 2 + 3*f**2 - 1 as l*f + w + m*f**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15707 - 5206. Let o = -10500.4673 + u. Let q = -0.53 + o. Round q to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:44 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 8. What is the remainder when w(3) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9656440.5 rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/18893 and 37\/5398.\nAnswer: 37786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5) + ((-296)\/32 + 8)*(-9744)\/175.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 5:09 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-102) + 16\/(-272).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 466613 and 17101.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*q = 68, -f + 2*q - 5*q + 60 = 0. Suppose 56*u - 52*u - f = 0. What is the greatest common divisor of u and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 712\/7? (a) 0.1 (b) -1\/3 (c) 19 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/95? (a) 0 (b) 2\/417 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 278391085.2 to the nearest ten thousand.\nAnswer: 278390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 371*u - 31. Let x(t) = -124*t + 11. What is 11*x(o) + 4*z(o)?\nAnswer: 120*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31732138 + 1715.\nAnswer: -31730423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5 = 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a40 + -2?\nAnswer: -a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22635 and 75?\nAnswer: 113175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 7*j - 3. Let k be c(-6). Find the third derivative of k*z**6 - 17*z**2 + 0*z**6 - 11*z**6 wrt z.\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + (7\/(-14) - 0). Put -20, v, -5 in ascending order.\nAnswer: -20, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 2 = 8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111011000110101000111111?\nAnswer: -111011000110101000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.14 (b) 2 (c) -3 (d) -2\/17 (e) 2\/5 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*c + 151*c - 24*c in the form m + b*c and give b.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408 + -373. Let k = -278 - -306. What is the greatest common divisor of r and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684 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: Solve -484642*g**2\/3 + 969298*g\/21 - 4\/21 = 0 for g.\nAnswer: 1\/242321, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 230946.1 millennia?\nAnswer: 2771353200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 62. Suppose -7*c - 32*c + 1950 = 0. Let x = z + c. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -61*h**2 - 382*h + 94. Determine i(-7).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 6*m + 27, -j - 29 = 4*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:37 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22581\/220 - -411\/4. Let f = k - 8\/33. Put f, -0.3, 5\/6 in increasing order.\nAnswer: -0.3, f, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -774, -1557, -2446, -3321, -4062?\nAnswer: -4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 12 - (-56 - -85).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/9 - 10*a\/9 = 0. Calculate a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhmhhhhhmhmhh. Give prob of picking 2 h.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-35))\/k**(-2\/21)*(k**(-23))**(10\/9) assuming k is positive.\nAnswer: k**(-3746\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1546 - -305?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.91 and 116.\nAnswer: 124.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.019 (b) 4 (c) 8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pggkkgdgggpddvngk. Give prob of sequence knp.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 4*p**3 + 6*p**3 + p**2 - p**2 + 2*p**3 + (-p**2 - 2 + 2)*(2*p + p - 4*p) + (-3*p**2 + 6*p**2 - 4*p**2)*(6 - 6 + 6*p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 53. Let o = -15 + q. What is the nearest to -0.2 in -25, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + 2 + (-13 - 1) + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - 8*j + j**4 - 8*j**3 - 3*j + 2 + 4*j as h*j + d*j**4 + a*j**3 + x + s*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/18 and (-3)\/36*1*67.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w + 45 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1895*t**2 - 511*t**3 + 1038*t**3 + 153*t**3 wrt t?\nAnswer: 4080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243.4 - 238.4. What is the biggest value in u, -55\/2, -4, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004897977 rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 6}. Give prob of picking 3 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11 - (0 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*u**3 - 362553*u**2 - 362693*u.\nAnswer: u*(u + 1)*(140*u - 362693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 11*v**2 + v - 8. Let z(o) = -o**2 + 1. Give 2*c(l) + 22*z(l).\nAnswer: 4*l**3 + 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d*d**(3\/8))**(-2\/147) assuming d is positive.\nAnswer: d**(11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22438855.\nAnswer: 5, 727, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 0*t + 0*t)*(2*t**2 - 4*t + 4*t) - 121*t**4 - 72*t**4 - 99*t**4 in the form o*t**2 + n + y*t**3 + w*t**4 + c*t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347294054 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -2*s + 200. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 + 8*x - 3. Suppose -d - 16 = -3*d - f, -2*f = -8. Calculate v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 5618340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101788111 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-457 + 403)\/((-1)\/(1\/(-10))).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 712b (base 16) in base 12?\nAnswer: 14923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-908)\/(-18) - (196 + (-119126)\/603).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y + 3. Let q = -2342 + 2346. Let u(j) = -7*j - 4. Calculate q*r(o) + 3*u(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 13500.\nAnswer: 13500.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 22*x**2 + 93*x + 59. What are the prime factors of o(-27)?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 4 (c) -3795 (d) 2\/3 (e) 5 (f) -5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754345 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 - (-18)\/15. Let r(l) be the first derivative of -l**4\/2 - 4*l**3 - 12*l - 952. Let u(t) = 6 - t**2 - 7 + 0. Give n*r(d) - 12*u(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n - 4*j + 14, 2 = n + j. Let u = 0.1 + -0.1. Which is the third biggest value? (a) u (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 8*f + 20. Let o be n(-2). Solve 2*t - t + 5 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2 - 2*r + 69. Is 27 a factor of q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*1*6\/36\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = -22. Suppose 3*f - 6 - 4 = -y*k, k + 5*f = 11. Let j be (-2)\/(1\/90*k). Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**3*w**2 - 332*v*w - 13*w**2 + 3*w wrt v?\nAnswer: -3*v**2*w**2 - 332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47040 and 11595360?\nAnswer: 23190720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14663013 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 17 = 3*b + 7, 3*b + 24 = -5*l. Let o = b + 42. Suppose -o - 74 = -4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:30 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/1980 + o**4\/33 + o**3\/3 + 3*o**2\/2 + 67. Let j(c) be the third derivative of u(c). Factor j(f).\nAnswer: -2*(f - 2)*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3098448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-126)*(-3)\/((-12)\/(-14)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = g - 5*j, 2*g + j = -3*j + 70. Suppose -2*r + 8 = -4*n, -2*n + 16 = 4*r - n. Suppose r*q - g = -q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2532 + -1809. What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665130840 a multiple of 3337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26 + 16*j - 40*j + 11*j + 2*j**2. Is s(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/4 - t**3\/2 + 3*t**2\/4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*13864.8\nAnswer: 41594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 38*p + 21. Suppose 4*k - 13 = 4*h - 65, 2*h = 3*k + 37. Let w = -6 - k. Calculate the remainder when x(19) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3560715 + -47.\nAnswer: 3560668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*a = 9, -8 + 4 = 4*a. Sort 4, 2, z, -1 in descending order.\nAnswer: z, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -333324 + 333329.50122. Let x = 0.1199 - 5.6199. Let j = c + x. What is j rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35226877.\nAnswer: 7, 5032411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/216)\/(2\/16).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -16, -11, -4, 5, 16, 29?\n\"Answer: y**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1615*t**2. Let v(g) = 3*g**2. Give v(r(h)).\nAnswer: 7824675*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26668430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234512 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.4, -304, -5, -2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = -4*s, -4*s + 10 = 5*o - 8. Suppose 0 = z + b - 22, 0*z + b + 41 = o*z. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 1a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5)*5)**2 + sqrt(700) + 0 + sqrt(112) + sqrt(7)*-5 + 0.\nAnswer: 9*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 1\/6, 0.3 in descending order.\nAnswer: 0.3, 1\/6, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9610217 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 11*y**2 - 14*y - 1. Let x be u(13). Suppose 3*i - 5*m = -m + 849, 2*m = 0. Let h = i - x. What is the highest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14442, 14481, 14524, 14571, 14622, 14677?\n\"Answer: 2*p**2 + 33*p + 14407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 5 (c) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21737*q**3*u - 77*q**2*u + q**2 wrt q?\nAnswer: -130422*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 - 587. Let v be i\/(-20) + 1\/(-4). Suppose 5*m = 3*g + v, -m - m + 4*g + 2 = 0. Solve 2*s - 6 = m*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202945 (base 12) in base 14?\nAnswer: -d1189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96 + 84 - 2058*u + 1805*u wrt u?\nAnswer: -253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 and 53\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22385068859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11385 - 11385 - 537*h + 752*h.\nAnswer: 215*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 4. Let m = d - 8.2. Which is the closest to 1? (a) m (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 4. Let i be l(-3). Suppose y - 3*y + 4*w + 6 = 0, -w - 6 = -2*y. Factor y*s - 7*s**i - 7*s**3 - s**2 + 5*s**4 + 0*s + s.\nAnswer: s*(s - 2)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-9\/4)*(u*u**(7\/6))\/(u\/u**(6\/19)) assuming u is positive.\nAnswer: u**(-172\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 666 - 7*q + q**2 - 1331 + 670. Let t = -7 + 13. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 4. Suppose -4*m - p - 4*p + 36 = 0, 0 = m - p. Let c(z) = 3. What is m*c(l) - 3*o(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v**3 - 36*v**2 - 36*v + 24. Let f(a) = 2*a**2 + 2*a - 1. Determine 18*f(m) + h(m).\nAnswer: -15*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 50. Let t be (-11749990)\/v - (-4)\/(-10). Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from lxixclclxcnlxnccnxcl.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 9*j**2 - 5*j**2 - 3 to t*j**2 + g + v*j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**3 - 11*x**2 - 9*x - 19. Let k(z) = -5*z**3 + 5*z**2 + 5*z + 10. Let d(c) = -11*k(c) - 6*u(c). Give d(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.59 - 19.583349. Round r to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -958 + 964 - ((-50)\/(-7) - 5\/(105\/(-6)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*3553.\nAnswer: -2842.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5771)\/(-12935) - 4\/(-26)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4495 - -31528. What are the prime factors of f?\nAnswer: 3, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45030800.\nAnswer: 2, 5, 112577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/4 + 355*p**4\/12 - 725*p**3\/6 + 365*p**2\/2 - 191*p + 2. Factor y(c).\nAnswer: 5*(c - 1)**2*(c + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + 53*c**3\/4 + 1053*c**2\/4 + 9295*c\/4 + 15379\/2.\nAnswer: (c + 13)**3*(c + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/30 + a**5\/20 + 5*a**4\/8 + 3*a**3\/2 - 6*a**2 + 1. What is the hundreds digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + t + 0)*(241*t - 187*t + 42*t**2 + 21*t**2) to x*t**3 + d + j*t**2 + b*t and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, -120, 4 in descending order.\nAnswer: 5, 4, 0, -1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i. Let v(j) = -800*j**2. Determine s(v(p)).\nAnswer: 3200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33162308.\nAnswer: 2, 17, 487681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24\/35 + -2\/5. Let t(x) = 4*x**3 - x**2 - x + 1. Let j be t(1). Let h be j\/(-15)*10\/4. What is the second smallest value in z, 5, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, c: 1, j: 1, q: 6, z: 1, a: 2}. Give prob of sequence az.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 1. Let v(s) = 24*s + 22. Let w(d) = 44*p(d) - 2*v(d). Let n(m) = -21*m**2 + 1. Determine n(w(c)).\nAnswer: -336*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.8 - -0.2. Let j = -560 + 590. Let d = p - j. Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 205 - 91 = -4*b, 0 = 5*b + 4*d - 383. What is the smallest common multiple of 2 and (b\/(-6))\/5*-4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*v**3 - 13*v + v + 27*v**5 - 35*v**3 wrt v?\nAnswer: 540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 12:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 193529. Let t(p) = -33*p. What is q(t(j))?\nAnswer: -198*j + 193529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.61 - 14.68. Let q = -10.52 - -0.02. Let s = g + q. Round s to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6238)\/(-11) + ((-228)\/88 - (-70)\/28) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l - 6*l + 3*l**5 + 4*l**5 wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3900*u - 11707. Calculate g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-9)\/(-5) + -2). Let r = 2.91 + 0.09. Let g = 1 + r. What is the nearest to 2 in 2, g, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h + 3. Find the second derivative of -2*n**2 - 5*n + h*n + n + n**2 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -182*a + 52. Let m(i) = -36*i + 10. What is -11*m(s) + 2*r(s)?\nAnswer: 32*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 4*m + (0 - m + 0)*(2 + 2 - 5) + 9*m - 101 + 101)*(-3 - 3*m + 3)*(0 + 0 - 2*m).\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5807 and -12.7?\nAnswer: 13.2807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a*z**4 - 4473*a*z**3 - 4*a*z**2 + 6*a + z**4 - 1662 wrt z.\nAnswer: 360*a*z - 26838*a + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 67887285*x**2.\nAnswer: -5*x**2*(x + 13577457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 127 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q*q)**40\/((q*q**(-4))\/(q*q**(-6))) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 16. Let l be r(-11). Suppose -2*p + 0*w + 2 = w, l*w = 3*p - 29. Solve -p*k = c - 1, 4*k + 2*c = k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 12*s**4 + 17*s**3\/3 - 42. Find the third derivative of q(c) wrt c.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k, -2*k + 6 = 4*c + 24. Let t(l) = -5*l**3 - 5*l**2 - 19*l - 2. Let h(p) = 5*p**3 + 4*p**2 + 16*p + 2. Let a(v) = c*t(v) - 6*h(v). What is a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -0.02 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 119. Determine f(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -101. Let d be (-6)\/(-15) + 24\/l. Let p be (5 + -15 + 13)*(-8)\/6. Put p, -3, d in descending order.\nAnswer: d, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23096*k**3 - 38919 wrt k.\nAnswer: 69288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.081998 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 6. Give y(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 203?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11703546?\nAnswer: 2, 3, 499, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095 = 8*x - 2641. What are the prime factors of x?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5867*f**3 + 6343*f**3 + 5883*f**3 + 5874*f**3 + 5875*f**3 - 29840*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 22*m - 174. Let p be 6\/18 - (-556)\/20 - (-6)\/(-45). Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 290184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/25, -1, -79, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + 204. Suppose a - w = -95, -2*j = 4*a + 18. Is -2\/1131 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 11418*r - 91216.\nAnswer: -2*(r + 8)*(r + 5701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -637\/8?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.06 (c) 7245 (d) -5 (e) -12 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + m**2. Let g(f) be the first derivative of 0*f**2 + 11\/4*f**4 - f + 2*f**3 + 1. Let j(w) = g(w) - 6*u(w). What is the derivative of j(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -13*t**6\/360 + t**5\/120 + 13*t**4\/12 - 2*t. Let c(b) be the third derivative of p(b). Is c(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1760, 3, -77 in decreasing order.\nAnswer: 1760, 3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -0.8. Let o = j + -0.0004. Round o to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(22)\/sqrt(2) + -2 + (sqrt(99)*-5 - (sqrt(11)*2*-6)**2).\nAnswer: -1588 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/424 and 8671\/54855 - (-4)\/(-18) - (-13)\/65.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 21. Let d be o(-3). Let z(n) = 38 - n - 19 - d. Let y(b) = b - 4. Determine 5*y(a) + 3*z(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1332372\/11 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose -45*f - 9 = -m - 42*f, -3*m - 29 = 5*f. What is the nearest to o in m, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*182\/(-208)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.02 (b) 9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 8*m + 20*m + 7*m - 11*m.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 3. Suppose -3*t + b = -26. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -83548.46469694.\nAnswer: -83548.16469694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + 4*h + 4. Let o = -9 + 12. Suppose o*z - r - 11 - 26 = 0, 0 = 4*z + r - 61. Calculate the least common multiple of k(4) and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**3 - 6*p**2 + 7*p + 4. Let c(q) = 11*q**3 - 11*q**2 + 13*q + 7. Calculate -4*c(w) + 7*r(w).\nAnswer: -2*w**3 + 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 703 + -805. Is h <= -307\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**3 + 6*u**2 - 5*u - 9. Let p(t) = -3*t**3 + 3*t**2 - 2*t - 4. Let h(f) = 5*p(f) - 3*q(f). What is the units digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n + 2*i, -n + 5*i + 4 = 28. Find the common denominator of 16\/7 and n\/5 - 157\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 4*p - 39 - 24*p + 8*p - 28)*(-44*p**3 + 67*p**3 + 11*p**3).\nAnswer: -306*p**4 - 2278*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/4 (b) 109 (c) -107 (d) -36\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - 288\/80.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*q - 22*q**2 - 134*q)*(2*q - q**3 - 2*q).\nAnswer: 22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46*1 + (-19 - -22). Let b be c\/(-8)*-2 - 66\/264. Calculate the highest common divisor of 36 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75614 by 95.\nAnswer: -75614\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 36*p + 12. Let v(l) = 6*l**2 - 41*l - 11. Let k(z) = 5*i(z) + 4*v(z). Determine k(13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 128*q - 141. Calculate d(10).\nAnswer: 1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 8. Let b(t) = 7*t - 8. Give -4*b(h) + 5*p(h).\nAnswer: 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.3, 1\/6, 39259, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 603d1 (base 15) in base 4?\nAnswer: 1022113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p**2 + 159*p**2 + 34*p**2 + 35*p**2.\nAnswer: 174*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = 7. Suppose -20 = -0*j - 4*j. What is the second derivative of 3*w**5 - m*w - w**j - 2*w + 5*w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 + -0.16. Let x = 0.93 + z. Let t = -14 + 12. Which is the closest to x? (a) 2\/3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11954, 0, -0.08.\nAnswer: -11954, -0.08, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 - 5*c**2)*(422*c + 85*c - 43*c).\nAnswer: -3248*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013023382 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/(o*o**4))\/(o**(-4)*o**1)*((o\/(o\/(o\/(o*(o*o*o**(6\/5))\/o))))\/(o\/(o**(-3)*o)))\/(o\/(o*o*o\/(o\/o**(-2\/5))))**(-2\/21) assuming o is positive.\nAnswer: o**(-219\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 2. What are the prime factors of c(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4611*o + 2387*o + 2299*o - 2.\nAnswer: 75*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Suppose -67 = -4*r - 5*u + 8, 95 = 5*r + a*u. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*87744.4.\nAnswer: -1403910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 47*l - 37*l, 0 = 5*c - 2*l + 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(4 + sqrt(19) + sqrt(114)\/sqrt(6) - sqrt(19)) - -1*((-4*sqrt(19)*3 - sqrt(19)) + 4)**2)*2.\nAnswer: -248*sqrt(19) + 6294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 552 = -204 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79576 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -73056.\nAnswer: -73055.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 153*s**2 - 2476*s + 2476*s + 24*s**2 - 46*s**2 + 28 in the form z*s**2 + q*s + g and give z.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47905*j = 47942*j - 370 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 6*p - 4. Let l = -8 + 14. Suppose -l = -g + 1. Let z be i(g). Solve 6 = 4*t - 2*h - 0, 0 = 4*t - h - z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3 + -35 + 34. Let m be 2\/(b\/(-19)) - (-2)\/4. Is m >= 92\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**11)**(-1\/9) assuming k is positive.\nAnswer: k**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 11157?\nAnswer: 178512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37840550, 75681104, 113521660, 151362218?\nAnswer: 189202778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -27. Suppose x = -3*a - 4*s + 35, 0 = 4*a - 2*s - 5 - 5. Let h be (12\/a)\/(36\/135). Solve z - h = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 13, -12, -47, -86?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.067 - -0.067. Let j = s - -24. What is the second biggest value in -1\/5, 1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + f**4 - f + (-2*f**4 - f**4 + f**4)*(-1 + 3 + 0) + 3*f**4 - 4*f**4 + 3*f**4 - 2*f**4 - f**3 + f**3 - 2*f + 6*f**4 + 2*f + f**4 + 5*f**4 - 3*f**4.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*f**2 - 7*c**3 + 4*c**2 - 167338*c*f**2 + 45782*c - f**3 wrt f.\nAnswer: 6*c**3*f - 334676*c*f - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5*d + 437. Calculate g(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2029, -1663, -1177, -571, 155, 1001?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 15*c**2 + 9*c - 3. Let r be z(8). Suppose -r*l = -23 + 3. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)\/f**(-8\/11) assuming f is positive.\nAnswer: f**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zususzzzgsyzsy. Give prob of picking 1 u, 1 s, and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - o + 6 = -3*o, -30437*k + 30435*k = 3*o - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 40*u - 16. List the prime factors of z(19).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/6 - 3458*m**2 + 186835*m\/6 + 76109 = 0.\nAnswer: -20757, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*z = z - 122, -2*g + 126 = -4*z. Suppose -4*y = 11 - g. Suppose a + 0 - y = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/149118 and 11\/49706.\nAnswer: 149118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2551*k + 45749. What is x(18)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-494)\/(-57) + 10\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, -0.3, 4, -12\/23, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -5\/11 (c) -22 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -113, -11.7448, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, -11.7448, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 142\/(-16)*(-318)\/371*(-364)\/(-39)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and 81\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1304 + 1060.15. Let d = b - -16.15. Let q = d + 238. What is q rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:12 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2228 + -2224. Suppose -6*a = -a - 85. Suppose 8 = -4*j - 4*o, -i*o + 3 = j + a. Solve j*m + m = -h + 15, 2*m - 2*h = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Put 4, -5, j in descending order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, o: 1}. What is prob of sequence co?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 259*h**3 - 4*h + 7*h.\nAnswer: -259*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1802*3.\nAnswer: 3.5406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atracaram. Give prob of sequence ta.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 15. Determine v(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6 = 4*l, -5*p + 41*l - 9 = 42*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in 2\/7, 6\/5, -4\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/51 (b) -3\/245 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 - 97 = f, -5*f = -4*a + 101. Suppose -a = -7*d + 116. Suppose 8*p = 3*p + 30. What is the remainder when d is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + 1. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5503 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Solve 9 = m*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4949, 11969, 18989?\nAnswer: 26009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583147 to the power of 1\/2, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 271659c + -10?\nAnswer: 271658c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511645751\/343 - -1491674. Let x = k - -32\/7. Let s = 19903\/3087 + x. Calculate the common denominator of -3\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j + 0*j**6 - j**2 + 1\/420*j**7 + 0 + 1\/24*j**4 + 0*j**3 - 1\/40*j**5. Let n(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13072582?\nAnswer: 3\/13072582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**5\/60 + g**4\/8 - g**3\/2 - 159*g**2\/2 + 93. Let u(q) be the second derivative of b(q). Determine u(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511039 - -0.197.\nAnswer: -511038.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 7127*k = -7125*k + 11, -62*k = -3*a - 109 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let m(s) = 61*s**2. What is m(u(l))?\nAnswer: 61*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -3*l**6\/4 + l**5\/60 + 5*l**4\/24 + 5*l**3\/6 - 2*l**2 - 572. Suppose 3*i + 18 = -5*h, 0*h - 5*h - 17 = 2*i. Is c(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) 15 (c) -2\/3 (d) -0.1 (e) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 11*y**2 - 8*y - 2. Let w be g(-11). Suppose -4*t + 5*p = -w, 7 = -3*p + 1. Suppose -5*c - t = -54. Is 12 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45 and -25\/9250818.\nAnswer: 9250818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3, 3\/2, -9, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3642780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/(-1640) - 7*(-2)\/20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 - -129.23. Does 1.3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 18*r**2 + 3*r - 16. Suppose 188*a + 290 = 217*a. Is 10 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224\/9 = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/10)*g*(g*g**(-1\/3))\/g)\/((g*g**(-7)*g)\/(g*g**(-1\/3)\/g)))**(-2\/45) assuming g is positive.\nAnswer: g**(-187\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*n + 691*n - 2*t + 13 = 0, 0 = -2*n - 3*t + 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 32 + 208 = 0. Let c(x) = -2*x**3 + 2*x**2 - 4. Let k be c(2). What is the remainder when l is divided by 27\/k + 2 - 49\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2364766 to the nearest one thousand.\nAnswer: 2365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 67*q - 15. Let g(h) = 64*h - 11. Let n(r) = -5*g(r) + 4*v(r). Let z(a) = 26*a + 2. Calculate -2*n(f) - 5*z(f).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027087431 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 2*l + 4. Let s be 9*(2*(-1)\/6)\/(-1). Give w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - z + 0*z)*(3 - 3*z - 3) - 7*z**2 - 64*z**2 + 17*z**2)*(1 - 1 + 2*z**3).\nAnswer: -96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, k: 1, a: 2, p: 6, l: 1}. What is prob of sequence nnnl?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2975*j - 12082*j + 3006*j + 3033*j + 2933*j.\nAnswer: -135*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 11*i + 51, 2*s - 3*i = 6*s + 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905 by 181.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21165 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 397305996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*o**2 + 6*o + 16*o + 5*o - 27*o.\nAnswer: 249*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 8. Let l be c(-4). Let m(u) = u**3 + 24*u**2 + 10*u - 1. Is m(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/42 and -41\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n**2 + 2. Let d(l) = 293*l - 293*l - 728*l**2 + 729*l**2. Give -3*d(t) - v(t).\nAnswer: -11*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1278*l - 92026. Give r(72).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443545?\nAnswer: 5, 43, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -2\/3, -0.4, 2\/361?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + q + 14 = -3*q, -6 = 2*k + q. List the prime factors of -3 - k - (-9 + -148).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from oyfffffofyf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12410 and -1.\nAnswer: -12410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2647063*m**2 + 3*m + 2 + 4*m**3 - 2 - 2647067*m**2. Let d(g) = 5*g**3 - 5*g**2 + 4*g. Calculate -5*d(k) + 6*s(k).\nAnswer: -k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2969856 by 3867.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319*s**3 + 9*s - 9*s + 2*s**3 - 2*s**2 + 116*s**3 to i*s**3 + b + u*s**2 + o*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 9054348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 741584.6mm?\nAnswer: 0.7415846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -904019, -904020, -904021, -904022, -904023?\n\"Answer: -j - 904018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41024335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74359, -74355, -74351?\nAnswer: -74347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25131520 (base 6) in base 8?\nAnswer: -3044550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r - 3*k + 17, 3*r - k = 1. Suppose 0 = -r*v + 46 - 56. Let a(x) = 6*x - 5. Let f(m) = -12*m + 9. Determine v*a(q) - 3*f(q).\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/26718 and -139\/1464.\nAnswer: 106872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 1 = 3*n + y, 4*n - 2*y - 16 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2908.7 + -247.3. Let d = 3126.58 + i. Round d to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 80*c + 35. Let u(m) = 16*m + 23. Let q(h) = 5*h + 8. Let s(z) = 11*q(z) - 4*u(z). What is 4*r(f) + 35*s(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13*z - 15. Let k be x(-2). Is 10 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173646866 at least as big as -1173646867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 + -141. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2200\/(-32) + 2\/(-8). Let t = -65 - q. Solve 20 = -v - t*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 622 - 546. What is the remainder when l is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 + f + 3. Let a be u(0). Let p be (-2)\/a + 2\/3. Let h = p + 1. Are h and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -390.\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 1. Let g be ((-23)\/(-7))\/1 - 12\/42. Let t(q) = 3*q - 2. Calculate g*t(s) + 4*b(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30678?\nAnswer: 2, 3, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1288109066 from -98.\nAnswer: 1288108968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 506844976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 + 23 = 0. Suppose -4*b - w = 2. Is (-44)\/(-3*(-2)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-3)\/sqrt(6) + -5.\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 718632.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 40, 24, 4, -20?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -506, -9, 1, 0.\nAnswer: -506, -9, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 45 = 3*m + 3*t + 3*t + 15, -11*m - 2*t = -6*m - 66 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let c(o) = 5 - 5*o**2 + 10*o**2 - 5*o - 6*o**2. Let x(n) = -109*n - 1 + 110*n + 0. Calculate h*c(f) - 5*x(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*7)\/(7\/7). What is the highest common factor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36166 divided by 1391?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 7*d**2 + d. Let y be j(5). Let x = -32 + y. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2020211122 (base 3) to base 12\nAnswer: 217bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -4330 + 502. Solve -15*x + g = 279 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:06 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279.4 + -1514.3. Round o to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -12. Let u be 5*n\/2*2\/(-5). Let j be 5 + 1 + (u - (-12)\/(-3)). Put 0, 5, j in descending order.\nAnswer: 5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**3 - 7\/30*l**6 + 0 + 0*l**4 + 1\/2*l**2 + 0*l**5 + 10*l. Differentiate d(m) with respect to m.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 17913 = 10336. List the prime factors of h.\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - d + 6*d**4 - 3*d**3 - d + 0*d**3 to the form s*d**2 + m*d**3 + z*d + t*d**4 + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 d, and 1 f when four letters picked without replacement from {f: 4, q: 2, d: 1, j: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 8*k = 2*j - 24, j + 36 = 4*k. Let z(a) = 28*a - 216. What is z(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4155*((-310)\/(-30) - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -3, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1\/2, 95, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 818 and 9854?\nAnswer: 4030286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21107, 42222, 63333, 84434, 105519, 126582?\n\"Answer: -h**3 + 4*h**2 + 21110*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 + -13)\/8)\/((-1)\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1110.01201 + 1110. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2847\/5 or 5.85?\nAnswer: 5.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.07 + 0.07. Suppose -4*x - 5*g + 3 = 0, -4*g = 5*x - 5 - 1. Which is the nearest to v? (a) -0.5 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 180.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -39 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -167*k**4\/24 - 37*k**3\/3 - 25*k**2 + 2. Does 11 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - -17. What is the common denominator of 121\/20 and (-52)\/w + 2\/(-6)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -30*v - 149. What is the units digit of y(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5417 + 1540 = 5*n, 5*v = -5. Let q = n - -1428. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 = -8*t. Suppose 0*i = -3*i - 27. Let c = t - i. Solve -5*a + c*l = -15 - 3, 4*a = l + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 7, -50, -139, -266, -437, -658, -935?\n\"Answer: -n**3 - 7*n**2 - 3*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*u**3 + 2*u**3 + 9*u - 6*u + 3 to the form m*u + s + t*u**3 + l*u**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**4 + 0*r**4 + r**4 - r + (r + 0*r - 2*r)*(-3*r**3 + 6*r**3 - r**3) to m*r**2 + b*r**3 + l + i*r**4 + g*r and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116920 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 1\/12*x**4 + 1\/6*x**3 - 4*x**2 + 8*x. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (0\/5 - (2 - 4)). Suppose -2*d + q*s + 16 = 0, 0 = -d - s - 0 - 2. What is the units digit of ((-50)\/(-4) - d)*(3 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 0*j**4 + 0*j**5 - j**2 + 0*j**3 - 2 + 0*j - 2\/3*j**6. What is the second derivative of h(l) wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10*-392 + (-2 - -3). Let s = -118 + k. Calculate the remainder when s is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-5) - (-34)\/85. Suppose n*i = -0*i + 423. List the prime factors of i.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - sqrt(28))\/sqrt(7))\/((sqrt(16)*1)\/sqrt(8)))**2 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/54 (b) -341 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-8))**(-1) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 240654154 a multiple of 1451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191675520 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 86*x**3 - 7 + 9*x**2 + 177*x**3 - 90*x**3. What is v(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115901*q - 115934*q + 1551 = 0 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 179 = -4*o, -3*o + 4*o - 41 = 4*p. Calculate the remainder when o is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*((x\/(x\/(x**0\/x)))\/x)\/x)**(-3\/47)\/((x\/((x*x\/x**(-3\/2)*x*x*x)\/x*x)*x)\/x**(-7\/3))**(2\/33) assuming x is positive.\nAnswer: x**(1799\/4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 18*c = -143 - 131 - 38 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2088 divided by -4\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 14126553?\nAnswer: 14126560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 3 + 6 + 4 - 7.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z**2 - z + 24. Let u(k) = k**2 + k. Let l(c) = c**2 - 3*c - 1. Let w be l(3). Let j be u(w). Is p(j) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9\/2700*-9*-5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/7 + 7424*i**3\/7 - 6384*i**2 - 267264*i\/7 + 1606176\/7 = 0. What is i?\nAnswer: -3718, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 3*a - 6. Let n be w(5). Suppose n*q + 6 = 6*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0012 and -170.6328.\nAnswer: -170.6316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 6 + 1)*(-312*a + 279*a - 239*a)*(-1 + 0 + 3) as u + k*a and give k.\nAnswer: 7072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4748 = 24*c + 1388. Let o = c - 136. Solve -2*t - 22 = -0*p + 3*p, o*p - 2*t = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b**(-1))\/(b**(-1)\/b)**(25\/3) assuming b is positive.\nAnswer: b**(332\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -1, -49, -117, -211, -337?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -0*c + c - 3*u, 4*u - 8 + 16 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2543, -1, -3, -2, 5, 1 in ascending order.\nAnswer: -3, -2, -1, 1, 5, 2543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1602.79 - -1577. What is s rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7*u - 3 = 0. Let s be ((-5)\/u)\/(2\/30). Suppose q - 22 = n, s = 5*q + 5*n - 35. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2492 and 3610018.\nAnswer: 50540252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 11, p: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*k + 30, -50 = -5*k - 50*c + 54*c. What is the remainder when 315 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859448 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3452bcb5 + 4?\nAnswer: 3452bcb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(10\/(-15))*(-30)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6170659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 30. Let k be 64\/(-754) - (2\/15 + 560\/(-8700)). Sort n, 1\/23, k in descending order.\nAnswer: 1\/23, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1053602 (base 8) to base 9\nAnswer: -473282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10630294.\nAnswer: 2, 5315147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325*h + 4389 = -26981 + 3773 - 20103 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 9158 - 9461. Let x = -83 + 120. What is the remainder when o is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/4 + 11*u**3\/3 - 5*u**2 + 13*u + 10. Let i = -23 + 33. List the prime factors of h(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h - 18. Let w = h - -26. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 9634 - 4900 - 4951 as y + o*v and give y.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2531 or -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102713 and 4888.\nAnswer: 502061144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556.65 millilitres in litres?\nAnswer: 1.55665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1 + (-1)\/2). Suppose -8*y - 102 = 4*y - 402. Let n(d) = y*d**v - 4*d**2 + 28*d**3 - d - 52*d**3. Give n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 2*i + 3977 - 3967 as q*i + x and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247912.\nAnswer: 2, 7, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 2. Let p be x(4). Let q be ((-6)\/p)\/((-2)\/10). Let w(f) = 4*f + 4*f - 5*f + q*f. Let g(z) = -2*z. What is w(g(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -108285.2 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -32. Suppose g - j = 6. Suppose -4*x + 20 = 4*d, -4*x + g = 3*d + x. Solve d*b - 2 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -68*a**2. Let w(d) = -d**3 - 13*d**2 + 13*d - 12. Let j be w(-14). Let u(y) = -y**2 - 2*y + j*y. Give r(u(p)).\nAnswer: -68*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10535982 from -5317.1.\nAnswer: -10541299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*p = 12, -61*v = -63*v + 4*p - 12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in -1, 1\/2, 5, -4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1064, 2100, 3144, 4196?\n\"Answer: 4*t**2 + 1024*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (-2 + sqrt(300)) - sqrt(300)) + -3 - sqrt(300))**2*4 + 4.\nAnswer: 160*sqrt(3) + 4808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 7 - 1) + (1 - 2). Which is bigger: 10 or w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*t - 6737 + 6748, -2*g + 3*t = 17 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, c: 3, b: 4}. Give prob of sequence cc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(11\/33). Let y be ((((-4)\/v)\/(-4))\/(-1))\/(-1). Which is the fourth biggest value? (a) 2 (b) y (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 = 10*m + 517 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59, -174, -325, -530, -807, -1174, -1649, -2250?\n\"Answer: -3*n**3 - 94*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 654*n - 1310*n + 603*n + 106. Suppose 1\/2*d**n + 4*d + 8 = 0. What is d?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k - 99. Let r be f(-11). Solve -3*y = 4*g - 11, r = -3*y - 3*g + 4 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 699 and 932.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -176576884, -176576885, -176576886, -176576887?\n\"Answer: -t - 176576883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129831?\nAnswer: 1129831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + d + 11. Let s be j(7). Let z be (-4)\/(3 + s\/15). Determine u, given that -z*u - 18\/7*u**2 - 8\/7*u**3 - 2\/7 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*v = 584*v - 92 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -0.07. Let f = 0 + -0.3. Which is the nearest to 2\/5? (a) y (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*b**2*x**2 - 2*b**2*x + 13*b**2 - 76*b*x**5 - 49*b*x - 4*x wrt x?\nAnswer: -50*b**2 - 1520*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 7245638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929882 is divided by 4428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -120111222 (base 3) to base 8\nAnswer: -26060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3231969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - z**4 - 131 - 2*z**2 + 68 + 65 - z + 2*z**3 in the form r*z**3 + s*z + i*z**4 + h*z**2 + p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.83 + -0.8. Let t = 0.049 + -0.419. Let k = t - o. Are k and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12716 is divided by 4221.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**2 + 2. Let b(g) = 56*g**2 + 14*g - 3. Let n(r) = 31*r**2 + 8*r - 2. Let v(y) = 4*b(y) - 7*n(y). What is 6*d(q) - 5*v(q)?\nAnswer: 13*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -28. Let w be ((-4)\/18)\/(1\/o). Factor -p**5 + 0*p**4 + 0*p + 2*p**3 - p + p**4 + 1 - w*p**2.\nAnswer: -(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 - 2*v + 4. Let r be u(2). Let j(t) = t - 2. Let w be j(-5). Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 + -315. Let s be (80\/(-8) - q) + 6. Which is the closest to 17? (a) -0.1 (b) s (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -5. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -73*w - 148. Let q(b) = 42*b + 55. Give l(q(y)).\nAnswer: -3066*y - 4163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 9. Let i be l(9). Let k be (6\/8)\/((-1)\/(-4)). Suppose -6*a = -k*a - 4*x - 53, -3*x = -3. Solve -5*q + 5*z + 25 = i, -a = 2*q - 7*q + 2*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*l**2 - 26*l**2 - 37*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-4\/13)))\/(x**7\/x)*(x**(-1)\/x*x)\/(x\/(x\/(x**(-5\/2)*x*x))))**33 assuming x is positive.\nAnswer: x**(-5841\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u**(-3))\/((u\/(u*u*u\/u**(-1\/12)*u)*u*u)\/u**(-2\/5)) assuming u is positive.\nAnswer: u**(-119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3628\/3*j + 3290596\/3 + 1\/3*j**2 = 0. Calculate j.\nAnswer: 1814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 598 + -297. Let r = -53 + s. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4401657 is divided by 19917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + (-2)\/2)\/(-1). Let z be -5 + (3 - 1) - -5. Suppose -3*a + 17 - 2 = -3*h, 0 = z*h - 6. What is the highest common factor of a and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 1. Let p(n) = -131*n**2 - 4*n + 2. Give p(y) + 2*x(y).\nAnswer: -131*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a factor of 84429956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.5. Let i = z + 0.1. Let u = i + -0.397. Round u to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162\/7*s + 316\/7 + 2\/7*s**2 = 0. What is s?\nAnswer: -79, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3*v**2 + 190*n**3*w - 18*n*v**2*w + 7*n*v**2 + 2*v*w wrt v?\nAnswer: 6*n**3 - 36*n*w + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + n = 3*n + 13, 3*h - 5 = -2*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 - 30*k**2 - 14241494 + 14241494 + 74*k**2 - 29*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -437?\nAnswer: -8740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16723445 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -61 + 52 + (-2 + (3 - 2) - 4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1775540 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035427 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -307555 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 765 - 2*s - 113 - 3*s**2 - 391 to m*s**2 + l*s + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10003859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22802217 is divided by 4074?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkkkqvvkvvvv. What is prob of picking 1 v and 3 k?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45118444 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 12*k + 6. Let d = -18 - -17. Let m be (-4 - 5) + d + -2. Let a be p(m). Solve 0 = 2*x + a + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 2, b: 1}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(8\/1))\/(30\/(-48))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155163 + 5?\nAnswer: -155157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = -9*o - 105. Is (163 - -2) + (-2 - 0\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, 128, -3, 5.\nAnswer: -3, 1, 2, 3, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1487*l**5 + 2*l**3 - 63*l**2 + 30*l - 2. Let u(k) = k**5 + k**3 + 15*k - 1. Let v(s) = b(s) - 2*u(s). What is the third derivative of v(p) wrt p?\nAnswer: 89100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 23. Suppose o - 14 = -2*o + i*d, 0 = 3*o - d - 13. Solve -4 = -k - 5*q + 9, -5*k + o*q = 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 8 = 4*a, -94*t = -90*t - 2*a + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(81) - (sqrt(160) - (sqrt(160) - (sqrt(160) - (sqrt(160) + (sqrt(160)*-1 - sqrt(160)))))))*5)\/(1*sqrt(800) - sqrt(56)\/(sqrt(7)*1)).\nAnswer: -55*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 390.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q + 2. Solve 5*c + q = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -119*d - 469. What is the remainder when 740 is divided by x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 29*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 = 21. Let x = -3132 + 3134. Solve 3*p + s = -4*u, x*p + p = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -53 - (47\/(-5))\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 15*p + 4. Let u be g(15). Solve -a - 3 = -2*l - u, 17 = 5*a + 2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26076 and 14104.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 15, 0, -17?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 1171744*m**2 + 24 + 1171746*m**2 - 14.\nAnswer: 2*m**2 - 4*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 32875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207, -2747, -4287, -5827, -7367?\nAnswer: -8907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - -303. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 1728*x + 2. Let j(d) = 5*d - 2. Let s(b) = -4*b + 2. Let p(m) = j(m) + s(m). What is p(u(c))?\nAnswer: 2*c**2 + 1728*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1395 + 1394.999998007. What is u rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 12*w - 15. Let n be b(10). Sort 0, 6, n in decreasing order.\nAnswer: 6, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g + 175. Let s be a(-16). Suppose 0 = -5*d + 4 - 14. What is the closest to s in -4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 + (-114084)\/528. Let q = z - -216. What is the second biggest value in q, -0.11, -0.4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 241\/99330 and 29\/126.\nAnswer: 297990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49.5332 * -0.2\nAnswer: 9.90664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121201122211020 (base 3) in base 7?\nAnswer: -135364305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4 + 11. Suppose 4*z + 2 = -g + 3, 4*z + v = 3*g. Calculate the remainder when 11 is divided by 6\/(g - 2\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 23*i - 42. What is the tens digit of a(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1.15 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44275 - 2?\nAnswer: -44277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38363 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = 36. Let z = 1\/35 + 13\/770. Find the common denominator of z and 202\/(-24) + (-2)\/t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 220. Sort -24, k, -1 in increasing order.\nAnswer: -24, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 - 5*b. Let v be (-16)\/(-12)*(-4 + 1). Let h be (-11)\/4 - 1\/4. Let s(y) = 5*y**2 + 4*y. Give h*o(k) + v*s(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - 3*v**2 + 2*v + 4. Let n(o) = -13*o**3 + 5*o**2 - 4*o - 7. Suppose 14*w - 14 = 16*w. What is w*y(u) - 4*n(u)?\nAnswer: 3*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) 8 (d) 0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2)*16\/(-544))\/((-2)\/(4\/(-2)))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n + 3*c + 104, 148*n - 3*c = 150*n - 16 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/((-178)\/(-12) + -16). Solve 4*d - 2*l + g = 0, -2*d + 10*l - 5*l = 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**29*m*m**17*((m*m**(2\/3)\/m*m*m)\/m)**(-31))**(-3\/4) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 5*g + 42 = -118*x + 123*x, -g - 5*x = -32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -3710080\nAnswer: 1\/168640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -30, 27, 10 in decreasing order.\nAnswer: 27, 10, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.8577954 minus 0.0401?\nAnswer: -52.8978954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82 (b) -4 (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9.8, -38850.\nAnswer: -38850, 0.2, 9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -1062.\nAnswer: -743.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 747937 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((4*(-2*sqrt(78) - sqrt(78)) - sqrt(78))\/sqrt(6) - sqrt(26)\/(sqrt(550)\/sqrt(11))) + -1))**2.\nAnswer: 528*sqrt(13)\/5 + 226612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -670, -429, -122, 233, 618, 1015, 1406?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70322, 281343, 633040, 1125407, 1758438, 2532127, 3446468, 4501455?\n\"Answer: -g**3 + 70344*g**2 - 4*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5*10\/(-4). Suppose -l = w*l - 12. Suppose 0 = 4*j - 8, 9*x - l*x - 37 = -j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -1\/2 (c) -1\/157 (d) 0.4 (e) -116.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101378*m**5 - 2*m**3 + 570021*m wrt m.\nAnswer: 2027560*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 137866*y + 13. Let r(j) = 12*j**2. Determine o(r(p)).\nAnswer: 1654392*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 496, 493, 490?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**2 - 9. Let f(x) = -4*x**2 - 2. Suppose 4*p = 3*s, 3*p - 1 = 10*s - 8*s. What is s*k(r) - 18*f(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 388*q**3 + 692*q**2.\nAnswer: 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (266\/84)\/(7\/18*(-120)\/(-1680))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 533993? (a) 2\/19 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*sqrt(1296)*-1)\/((sqrt(648) + sqrt(648)*1 - sqrt(648))*-4).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - 18*m - 55. Is a(38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose 4*w - z*w = 0. Determine i, given that 3*i + w*i - 3 - 3*i + 3*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 + 42512456*v**3 + 91*v**2 + 618635.\nAnswer: -48*v + 255074736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/(4\/(-24)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + g + 46 - 72, 4*m - g + 36 = 0. Which is the fourth biggest value? (a) -3\/7 (b) -2 (c) m (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 6*q - 11. Let d(t) = -t**3 - 8*t**2 + 10*t + 1. Let x be d(-9). Calculate i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 + 25*n**2 - 6*n - 57. Give t(7).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14229485 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 - 9*r + 116. Let o(x) = x**2 - x + 3. Calculate -b(k) + 9*o(k).\nAnswer: 13*k**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*k + 301*k + 603*k)*(-2 + 2 - 2*k) + k**2 - k**2 - k**2.\nAnswer: -1219*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let z(b) = b. Let y(r) = -r**2 - 2*r + 2. Let t be (156\/(-36) - -5)\/(-3 - (-33)\/9). What is a*z(m) + t*y(m)?\nAnswer: -m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*z - z - 3*z)*(-7*z + z + 4*z) - 3*z**2 - 3*z**2 + 4*z**2)*(-34633 + 145*z**2 + 34633 + z) as a*z + m*z**3 + v*z**4 + o*z**2 + x and give v.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*f = -114*f. Factor f + 0*j**2 - 2\/3*j + 2\/3*j**3.\nAnswer: 2*j*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 - 23*k**2 + 93 + 109 + 6*k**2 + 94 + 93.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -217, -343, -553, -847, -1225?\n\"Answer: -42*c**2 - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -481 - 282*q + 4*q**3 + 281*q + 132 to h*q**2 + j*q**3 + t*q + u and give u.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49262077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*p + 3, 2*n + 2*n - 28 = 4*p. Suppose -2*o - n*s = -24 - 9, 3*o + 2*s - 37 = 0. What is the least common multiple of 15 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571516 is divided by 4798?\nAnswer: 4586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + 3 + 3 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 2*l + 4. Let z(u) = u - 2. Let n be (-2)\/3 - 17\/(-3). Let v be z(n). Let a(c) = -2*c**2 + c + 3. Let q(s) = v*m(s) - 4*a(s). Factor q(i).\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let h = -15 + u. Let q = 23 + h. Solve 5*t + 4 = 3*i + q, -4*t + 2 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*-2*(-3)\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*q = -0*v + 5697, -5*v - 5*q - 28505 = 0. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:20 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2 + 3*y - 31. Let f(l) = -7*l**2 + 2*l - 19. Let q(r) = -5*f(r) + 3*n(r). Let h(x) = -x**2 - 2*x + 3. What is 4*h(z) - 6*q(z)?\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:25 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68805663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 25, 10, 2, 5 in decreasing order.\nAnswer: 25, 10, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -651.999999374 + 652. What is m rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1078 + 44*j + 1078)*(-4*j + 0*j + 3*j) - 2*j**2 + j**2 + 0*j**2.\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 21*o - 43. Let j be ((-54)\/72)\/((-18)\/168). Give d(j).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 13*h**2 + 17*h - 38. Suppose 123 + 153 = 23*p. Calculate the smallest common multiple of 11 and x(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01890325 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4\/21 (b) -3\/7 (c) 0.273 (d) -4 (e) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 - 2092 - 13746*g**2 + 13748*g**2.\nAnswer: 2*g**2 - 1694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/40041 - 1563359\/17618040. Find the common denominator of 13\/125 and u.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/6 + (-5)\/(60\/(-8)). Suppose -k*y - 60 = -9*y. Let l = -53 + 78. What is the remainder when l is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.4. Let u = -14.054 - 0.166. Let n = -2.22 - u. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -28*1\/(8\/36). Let q = -76 - o. Suppose 2*k + 0*k + 88 = 4*n, -3*k + 88 = 5*n. Calculate the highest common divisor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-16))\/(1*9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 700\/(-385) - (-4)\/(-22). Does 49 divide (g - 2 - (-11 + 11)) + 543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -19. Suppose 4*q + 0*q = -4*w + 108, j*w + 153 = 5*q. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0.04, -8, -1 in increasing order.\nAnswer: -65, -8, -1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 820\/120 + -25\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2841466?\nAnswer: 2, 23, 223, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.0028 - 1. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -29*p - 1417. Calculate o(-57).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-14))\/(12\/(-24))*(-2)\/(-6).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -104?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -160956 divided by -4471?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463759600?\nAnswer: 2, 5, 19, 139, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:16 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85050 + 85047. Let f be ((-10)\/(-48))\/(1\/(-4)). Which is the biggest value? (a) -1.6 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-3)*((-46)\/69)\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5041 and 0.497.\nAnswer: 2505.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4501\/(-35) + 3 + 5)\/(2\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, -5, -1.\nAnswer: -23, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raar when four letters picked without replacement from {r: 14, a: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*m + 75, -2*w + 2*m - 4*m = -30. Solve 40*o = 37*o - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/5)\/s*(s\/(s*s\/(s**3\/s)*s))\/s)\/(s**(1\/7)\/s*s**1))\/((s**5\/s)\/(((s*s**(-1\/4))\/s)\/s)*s**6*s\/s**(-1)) assuming s is positive.\nAnswer: s**(-2043\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*q - 2*n + 3, -2*n - 14 = -3*q. What is the remainder when ((-32)\/(-80))\/(q\/120) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4026, 8058, 12104, 16170, 20262, 24386?\nAnswer: 28548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -0.4, -1\/2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*l**3)*(9 + 13 - 10 + 4 + 3 - 1 - 3 + 0 + 2 + (-2 - 1 + 2)*(3 - 4 + 2)).\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 120\/21*(-21)\/(-6). Let s(z) = q - 5 - 15 - 8*z**2. Let f(a) be the third derivative of a**4\/24 + 2*a**2. Determine f(s(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1062034 (base 8) to base 7.\nAnswer: -2305662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - 3\/(-9). Let p(c) = a*c - 3 - 2*c + 3. Let g(y) = 2*y**2. Calculate g(p(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909 by 30063.\nAnswer: 303\/10021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b*v**3*x + b*v**2*x**2 + 101*b*x**3 + 915*v**3*x**3 - 3*v**3*x - 15*v*x**2 wrt x.\nAnswer: 606*b + 5490*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1673733779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 8*q**3 + 0*q**3 + (-2*q**3 + 1 - 1)*(1 - 3 + 4))*(59*q**2 - 7*q**2 + 7*q**2).\nAnswer: -649*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/14 + (-1)\/2. Solve -2*v + 5*y + 21 = s, 2*y + 15 = -7*v + 10*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + 7*r**2)*(2*r + 3*r - 3*r)*(-1 - 3*r + 1).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2*a + 5. Let o(y) = 1. Let q(u) = 3*o(u) + 2*p(u). Let j(b) = b + 3. Suppose 6*s - 8 = 2*s. Determine s*q(w) + j(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (119 - (1 + 3)) + -50 + 52\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.5, 52?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30300 (base 4) to base 3\nAnswer: 1010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g + 60. Let q(x) = 20*x + 90. Let z(b) = 5*q(b) - 8*u(b). Let l be z(-8). What is the common denominator of -63\/4 and 2922\/252 - (l + (-18)\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*k + 4, -k - 12 = 3*k. Let o(m) = m**2 - 3*m + 6. Calculate the remainder when o(4) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -724 - -729. Solve -z - 16 = -y - 4*o, 3*o = 3*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/110 - 2\/(-5). Let f(z) = -10*z - 98. Let k be f(-10). Let v = -0.47 + 0.07. Which is the nearest to u? (a) v (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128870\/(-14728))\/((-6)\/(-2) - 10) + (-247)\/196.\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15 - 118*p + 27*p - 8. List the prime factors of g(-2).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (38 - 1) + -23.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/39257?\nAnswer: -11\/39257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 19451.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373061083 to the power of 1\/2, to the nearest integer?\nAnswer: 58078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*f + 6, 3*f - 9 = -d + 2*f. Calculate the least common multiple of d and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724324600 rounded to the nearest one million?\nAnswer: -724000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-9)*1\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 11, u: 1, i: 7}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -687, -1352, -2017, -2682, -3347, -4012?\n\"Answer: -665*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/5 of a decade?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {d: 2, w: 1, q: 8, m: 4, n: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -105. Find the second derivative of 91*w**2 + 19*w**5 - v*w - 91*w**2 + 3*w**5 wrt w.\nAnswer: 440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*z - 41 = 14, 2*h - 4*z - 30 = 0. Suppose 0 = -x - 1 + h. Suppose -2*o - x = -4. Is o greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 29949001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -7. Suppose 0 = -a, 5*j - r = a + 65. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/135 + -3 - 16\/72*1.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 29 + 6 - 2*d.\nAnswer: -d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746 smaller than 7716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 87*q**2 + 5. Let h be w(-3). Suppose -5*y + 297 = -h. What are the prime factors of y?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.5 - 41.9. Which is the fourth smallest value? (a) -2\/7 (b) v (c) 5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*f**2 - 118*f**2 + 259*f**2 + 5.\nAnswer: -27*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2935931*w*z**3 + 4*w - z**2 + 6134*z + 2 wrt z?\nAnswer: -17615586*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.568161 take away 0.7?\nAnswer: -1.268161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10332010?\nAnswer: 10331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -75*c**2 + 138*c + 132. Differentiate g(j) wrt j.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*l - 21, -36*q = 2*l - 32*q + 13 + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18424)\/(-2961))\/((-3)\/(18*(-15)\/20))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 352*g**3 + 5*g**2. Let r(a) = -529*a**3 - 8*a**2. Determine -5*r(m) - 8*s(m).\nAnswer: -171*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:20 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 11 = -3*k. Let w = -2 + k. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 + (-6)\/(-10). Let x(q) = q**3 + q + 14. Let g be x(w). What is the greatest common factor of 42 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -19. Let s(k) = -3*k**2 - 16*k - 13. Let h(i) = 2*i**2 + 11*i + 9. Let f(x) = a*h(x) - 5*s(x). Let b be (20\/(-6) - -2)*3. Calculate f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 13*i**5\/60 + 11*i**4\/24 - 4*i**3\/3 + 5*i**2 - i. Let u be q(1). Solve u = -4*h, 3*t - 19 = 6*h - 2*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7331.2 times 0.1?\nAnswer: -733.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*d + 5*z - 2*z, -3*z - 3 = 0. Suppose u - 1 - d = 0. Find t such that -2*t**4 + t**5 + 3*t**u + t**5 - t**2 - 10*t**3 + 16*t + 9 - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 12*k**2 - 16*k + 32. Give z(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, -l - 15 = -4*a - 7. Suppose 0 = s + 3*b - 24, 31 + 17 = 4*s - 4*b. Let h = s - 16. Put h, 1, a in decreasing order.\nAnswer: a, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.352 + 154.648. Let x = y + -153.79. Let d = x - 1.74. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 + 53*x + 20. Give h(-12).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39*x - 111*x + 39*x + 30*x - 51. Let v(o) = o. What is v(a(m))?\nAnswer: -3*m - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-210)*15*-2.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6*u + 8. Suppose -u*p = -6*p + 14. Let t = 133 + -129. Solve 0 = -i + p - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 434*w + 347. Let a be h(86). Let s = 5 + -8. Sort -0.07, a, s, 2\/3 in decreasing order.\nAnswer: a, 2\/3, -0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/8 + 0 - 360\/(-1440).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 10) to base 7.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2832471 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 6*h**3 + 6*h + 6*h**2 + 8 - 11*h**3 + 6*h**3. Calculate b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4 - 3*g + 2*g + 17 + 0. Let q be z(18). Solve -4 = 3*s + 2*c, 1 = -q*s - 5*c - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1556915*h**4 - 2*h**3 - 46*h**2 - 321020*h.\nAnswer: 37365960*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367645 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-6)*z))**(-2\/3)\/(z**(-2\/35)\/(z*z**(-5\/6))) assuming z is positive.\nAnswer: z**(-311\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -243\/64360 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3715 = -285*n - 1130 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4378027*q. Let h(m) = -5*m**2. What is u(h(w))?\nAnswer: -21890135*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 - 166. What is the smallest common multiple of j and 360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23222 is divided by 7740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 45 + 5 = 0. Calculate the remainder when 78 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*l + 46 - 60 = 0, 4*p + 2*l + 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679211937 to the power of 1\/2, to the nearest integer?\nAnswer: 60657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09049 and -266?\nAnswer: -24.07034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Suppose 415 = 5*s - 4*u - l*u, 0 = 4*s + u - 311. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 47 = -5*b. Suppose -b*c - 6 + 106 = 5*t, -3*t - 9 = 0. Calculate the remainder when 91 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400 a factor of 516581847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61688.27 millennia in centuries?\nAnswer: 616882.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 20592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417295386 to the nearest integer?\nAnswer: 20428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3 (c) -4 (d) -54 (e) -0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*r**4 + 108*r**4 - 6*r**5)*(-5 + 4 + 2)*(0 - 2 + 1).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4324*h**2 + 2162*h**2 + 2153*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 32*j - 638. What is g(20)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4*(-26)\/91?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/17, -1\/2 in descending order.\nAnswer: 0.3, 2\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74165.\nAnswer: 5, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**8\/504 - h**7\/315 + h**6\/180 + h**5\/90 - h**2 + h. Let i(a) be the first derivative of y(a). Factor i(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 53. Solve 0 = -l*h + 3*y + 28, 2*y + 17 = 2*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 - 3*j**2 + 11*j + 258. Let f(r) = -2*r**3 + r**2 - 4*r - 87. What is 17*f(u) + 6*l(u)?\nAnswer: -10*u**3 - u**2 - 2*u + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*p**2*u**2 + 17*p**2*u - 4*p*u**2 - 4*u wrt u?\nAnswer: 72*p**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -4*k. Suppose t = k + 3. Let z be (-12)\/16 + 2\/t. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*p - 17 = 2*k + 377*p, -121 = -2*k - 5*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 65*v**2 + 7*v**2.\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 14069.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13907?\nAnswer: 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-5)\/(-2))\/(-8 - (-6055)\/756) and 243.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340043455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 3f?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/6)\/((-1)\/39). Let y = -48 + i. 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 greatest common divisor of 14405 and 72670?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 35.1. Let g = 0.97 + h. What is g rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348487461?\nAnswer: 3, 7, 29, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2280 = -257346*c + 257156*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 76. Give z(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 5*o + 9. Let x be s(-6). Let r be (-282)\/(-12)*-1*2. Let p = -42 - r. Solve -p = -x*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35196 and 112?\nAnswer: 140784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 - 3*z - 8. Let s be u(6). Solve 4*p - 2*v = -5*v + 23, 3*p - s = 5*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2964, 3341, 4218, 5847, 8480, 12369, 17766, 24923?\n\"Answer: 42*q**3 - 2*q**2 + 89*q + 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/60*(-65 - -52) - -5 and -73\/1038.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -638, -1258, -1878, -2498?\nAnswer: -3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -783\/5 - -157. What is the third smallest value in d, 2\/53, 2, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1197*u**2 + 209*u - 209. Let w = -19544 + 19753. Let v(f) = -23*f**2 + 4*f - 4. What is w*v(q) - 4*z(q)?\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/60 - 5*z**4\/24 - z**3 + 65*z**2 + 7*z - 3. Let g(b) be the first derivative of t(b). Suppose g(u) = 0. Calculate u.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(-1))**(-2\/3)\/((m*m*m**4)\/(m*m\/(m\/(m\/(m**(2\/15)*m)))*m)))**50 assuming m is positive.\nAnswer: m**(-820\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 900034 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 0 - (-36)\/(-10). Let u = 4 + -3. Let y be 0\/u - (-3 - 1). Which is the second smallest value? (a) z (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -112312010322?\nAnswer: 112312010333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -110, -90, -38, 52?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1911905 decades?\nAnswer: 0.01911905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = n - 5, 34*n = 3*w + 36*n - 1. Put -0.2, 92, -5, 2, w in descending order.\nAnswer: 92, w, 2, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 7\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u - 1\/600*u**6 - 1\/1050*u**7 + 0 + 1\/300*u**5 + 1\/120*u**4 - 5*u**2 + 0*u**3. Factor v(b).\nAnswer: -b*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1926128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let z = 21 + -19. Let l(j) be the first derivative of 0*j**2 - 1\/3*j**3 + 0*j + z. Determine a(l(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1187522, -21 in ascending order.\nAnswer: -21, -5, 1187522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*b = 724*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36828*h**2*x - 56552*h**2 wrt x?\nAnswer: 36828*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 - 4*x. Let p be r(5). Suppose u - 12 = -4*s + 6*u, p*u = -3*s + 9. Is 29 a factor of (-58)\/4*(-24)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -272\/5 and -55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 - s - 1. Let z be r(-2). Suppose -6153 = 43*f + 13326. Let l = -451 - f. Solve 4*u = b + 1, 0 = -3*u - l*u + z*b + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 11794*a**2 + 14*a - 7 + 18*a - 49*a.\nAnswer: -11794*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(7\/8)\/w)\/w**(-40))\/(w**7\/(w*(w*w\/w**(-28)*w)\/w)) assuming w is positive.\nAnswer: w**(511\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -190, -241, -250, -199, -70?\n\"Answer: 3*w**3 + 3*w**2 - 81*w - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -1.72?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:22 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o. Suppose 0 = -q + 6*i + 31, -23*q + 20*q - 3*i = -72. Let r(s) = -185*s. Calculate q*u(x) + 3*r(x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (7 - 4 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 1) + 20 + -1. Suppose 0 = 4*c - 2*o - 22, -5*c + 3*o + 7 = -j. Suppose 5*f - 291 = -c*p, -2*f = p + 4*p - 105. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4)\/(-1) + (-1 - (-3 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1754 by 2.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - 7. Let t = -11 - s. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2243197, 4486321, 6729445?\n\"Answer: 2243124*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjehh. Give prob of picking 1 j and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 8) + (-5)\/(5\/(-2)). Let n = 218 + c. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n + 6. Let h be n\/9 + (-214)\/(-6). Suppose 5*u + x = 18, -3*u - 2*x + 16 = -4*x. What is the greatest common divisor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -4, 0, -10, 9647, -2 in decreasing order.\nAnswer: 9647, 8, 3, 0, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q - 2*z = -45, -2*z = 10. Let j = 110 - 68. Suppose 0*f + f - 84 = -4*l, 2*l - j = 3*f. Calculate the remainder when l is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*-6*(-7600)\/(-11400).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 1, z: 1, u: 1, n: 4}. Give prob of picking 1 n, 2 p, and 1 z.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.5264974 to two decimal places.\nAnswer: 24.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -338. What is the greatest common factor of 69 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*s, 4*a + 0*s = s. Suppose 2*y - 8 = -a*t - t, -3 = -3*y. Calculate the lowest common multiple of t and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*h**4 - h**3 + 198*h**2 + 64*h + 89054723.\nAnswer: 304*h**3 - 3*h**2 + 396*h + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 845064*m**3 + 32961552*m**2 + 428517752*m + 1856948340.\nAnswer: -4*(m - 211305)*(m + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 78223*c**2 - c. Let i(r) = 12*r**2. Give n(i(q)).\nAnswer: 11264112*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230242 + 220?\nAnswer: 231012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 18 = -3*c. Suppose -c*p - 26 = 7*p. Let g(f) = 2*f + 4. Let h = 0 + 1. Let k(z) = 1. Determine h*g(l) + p*k(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -35*b**3 + 2270*b**2 - 1915*b - 320 = 0.\nAnswer: -1\/7, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -837967.37 to the nearest one hundred.\nAnswer: -838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -972.15897041 - 3854\nAnswer: -4826.15897041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39897171 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894*b**2 - b + 2347*b**2 - 4 - 981*b**2.\nAnswer: 472*b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 1, p: 1, z: 1, j: 2, c: 2}. Give prob of picking 1 c, 1 p, and 1 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -1547, -1738, -2005, -2348, -2767?\nAnswer: -3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*v - 18, 4*v - 35 + 14 = 5*z. Suppose -42 = -v*w - 2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333 by -333.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 3*h**2 + 6*h**2 + (h**2 + 7*h**2 - 11*h**2)*(-4 + 3 + 5))*(0*h - h + 2*h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119189, -238252, -357315, -476378, -595441, -714504?\n\"Answer: -119063*h - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -505, -1550, -3575, -6904, -11861?\nAnswer: -18770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133392172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98267 = 100*k + 13*k - 99962 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 + 14 = n, -2*n - 4*r + 20 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -212, -535, -1404, -3089, -5860, -9987, -15740, -23389?\n\"Answer: -45*n**3 - 3*n**2 + n - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.03, -0.04, -2\/61?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**2 - 18*f + 92. Let i(x) = -7*x**2 - 17*x + 92. Let y(p) = -3*i(p) + 2*t(p). What is the remainder when y(-15) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -501232?\nAnswer: 501223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 1, u: 3, l: 3, s: 1, n: 2}. What is prob of picking 1 l, 1 u, and 2 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**27*r)\/r)**(2\/35)\/((r\/(r*r\/r**(1\/57))*r)\/r**(11\/5)) assuming r is positive.\nAnswer: r**(278\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -109440*m + 14265*m**4 + 386 + 15138*m**4 + 46 - 178794*m**3 + 87768*m + 278931*m**2.\nAnswer: 3*(m - 3)**2*(99*m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubafrrb. Give prob of sequence bu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**4 - 457*d**3 - 8*d**2 - 3*d - 721861 wrt d?\nAnswer: 60*d**3 - 1371*d**2 - 16*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 0 + 0 + 3 + 5 to x + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 129 (c) -29 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 4628.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -2. Suppose 2*u + 1 = -3*m + 7*u, -m - 3*u = 19. Let t(j) = -j**2 - 9*j. What is the lowest common multiple of t(m) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 75*r**4 - 201*r**3 + 2859*r**2 + 3120*r - 5700 = 0. Calculate r.\nAnswer: -19, -10, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(-18)*(-2)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(216)\/(sqrt(40)\/sqrt(5)))**2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3*f - 7. Calculate d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.570899 to 2 dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s - 3. Let o be j(4). Let x = o + -55. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 - -172. Let k(d) = d**2 - 3*d + 23. What are the prime factors of k(o)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127891.\nAnswer: 17, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109080 = -149*x - 21468. Calculate the remainder when x is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-756)*9)\/((-5)\/7 + 1). What is the nearest to l in 0.2, 2.06, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -1 - (-8 + -1). Suppose -q + 2*q = r. Solve -q - 5 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*v - 43 + 10 = 0, 2*t - 5*v - 11 = -13 - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 1 - 1 - 3 + 0.\nAnswer: -3*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let d(n) = -632*n**2 - 10*n - 6. Let t(j) = -948*j**2 - 16*j - 10. Let a(f) = -8*d(f) + 5*t(f). Give a(l(k)).\nAnswer: 316*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 0.5, -3, -41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 1. Suppose 7*w - 14*w = -14. Suppose 0 = w*t - 9 + 5. Determine o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477310718?\nAnswer: 2, 3, 13, 349, 54269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68534 divided by 2?\nAnswer: 34267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 30, 29, 28?\n\"Answer: -d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7 - 4 + 2 + 1 - 14*t. What is the remainder when h(-7) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 23*f**2 + 5*f**2 - 26*f**2. Let m(o) = -331*o**2 + 5*o. Let u(s) = -496*s**2 + 8*s. Let n(j) = -8*m(j) + 5*u(j). Calculate d(n(t)).\nAnswer: 56448*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**7\/d*d)*d**(-3))\/((d\/(d**(-1)\/d)*d)\/d)**(-47)*(d\/(d\/(d*d**(-1\/2))*d)*d)**(8\/19)\/(d\/d**1)**(2\/21) assuming d is positive.\nAnswer: d**(2512\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4622\/23 at least as big as -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - 3*r**5 + r**5 + 14*r**5 - 50*r**5 - 12*r**5 - 2*r**5 + r**5 + 2*r**5 + (5*r**2 - 3*r**2 - 3*r**2)*(2*r**3 + 3*r**2 - 3*r**2).\nAnswer: -51*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 3\/10, -3\/1064, -2\/9 in ascending order.\nAnswer: -4\/3, -2\/9, -3\/1064, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*k + 24 = 0, -t + 26 = -2*k + 2. What is the lowest common multiple of t and 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {z: 3, j: 6, g: 4, x: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54868632054 + -3.\nAnswer: -54868632057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*o*s**2 - 28*o*s*w**2 + 8*o*s - o*w**2 - 4*o - s**2*w wrt w.\nAnswer: -56*o*s*w - 2*o*w - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a minute in seconds?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -17 - -2 - (0 - 2 - -7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 12 = 0. Suppose 4*c = 2*q + 34, 0 = -k*c - c + q + 29. Suppose 0 = p - 0*p - 42. What is the highest common divisor of p and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(396) - (-1*sqrt(44))**2.\nAnswer: -18*sqrt(11) - 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25113482 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 + 5*z + 4. Let a be p(-5). Let n(d) = 34*d + 14. Let h be n(-1). Is a != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*o - p, -6*o - 114*p + 109*p = 68 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494111 a multiple of 701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2) - (-1)\/1. Let w = -5 + l. Let d = -47\/9 + 302\/63. Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 327267903, 654535808, 981803713?\n\"Answer: 327267905*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*d + 171*d - 32*d + 2376 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:01 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2 - 9*x - 2*x**2 - x**2 - x**2 - 5*x**3. Let q be r(-7). Suppose 4*m + 3024 + q = j, -j = -2*m - 4604. What is j rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-912)\/(-56) - (4 + 52\/(-14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306606 and 54.\nAnswer: 2759454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. Let m = 106 - t. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4060)\/(-700) - (2*4 + 1).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o + 5. Let x(y) = 1. Determine 6*x(a) - z(a).\nAnswer: -8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 596404687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -0.4 (b) 1 (c) -2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0*r**4 + 0 - 18*r + 0*r**2 - 9\/10*r**5 - r**3. What is the second derivative of j(g) wrt g?\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -8.8. Let j = -1.5 + 2.3. Let t = g + j. Put 2\/13, -0.3, t in descending order.\nAnswer: t, 2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -14, 2\/3, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 773, -2, -0.2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -8 - 6) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55030 - -550293\/10. Let n(j) = 463*j. Let s be n(4). Let a = 13019\/7 - s. Find the common denominator of a and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 8*v**2 + 11*v**3 - 8*v**3 + 18 in the form k*v + w*v**2 + a + h*v**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2805*y + 132. Let q(x) = -187*x - 9. What is 44*q(u) + 3*t(u)?\nAnswer: 187*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 1:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/24 - 2*x**3 - 28*x**2. Let o be 2\/(-7) + 16\/7. Let l(d) = -1. Give o*r(h) - 22*l(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1740?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145674020?\nAnswer: 2, 5, 17, 157, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887*d = -3218*d + 2648 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 24*g - 61 + 30 in the form a + u*g and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 16, 33, 54, 79, 108?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 10, 2, 1, 81 in decreasing order.\nAnswer: 81, 10, 2, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4419.39957214 + 4419.4. What is o rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -262*v**2 + 143*v**4 + 346*v**4 - 1643*v + 3281*v - 1636*v wrt v?\nAnswer: 11736*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -679, -1340, -1975, -2572, -3119, -3604, -4015, -4340?\n\"Answer: 2*f**3 + f**2 - 678*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65981 divided by 200.\nAnswer: 65981\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 8*f**2 + 2*f - 6. Suppose -3*p - 35 = 2*p. Let k = 15 + p. Let m be t(k). Solve -z = -2*u - 8, -u - z - m = -3*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 3:49 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*i = 3*i - 6, 5*s - 14 = 3*i. Suppose -3*x = -2*z + 2*x + 15, -5*z = s*x + 12. Let d be -2 + 1 - 6\/(-5). Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - o = 3*v - 44, 0 = 5*o + 20. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -1\/4 (c) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -229, -305, -361, -391, -389?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -135. Let d = t - 29. Which is the second smallest value? (a) 1 (b) d (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -25*c - 96. Let w be g(-6). Calculate the greatest common factor of w and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let l(h) = h - u*h + 2*h. Let z(y) = 2*y**2. Give l(z(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8317*m - 118645 + 626973 + 298421 = 0 for m.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180 or -0.18?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d**2 + 3*d + 12. Let i(y) = 50*y**2 - 8*y - 33. What is 4*i(l) + 11*t(l)?\nAnswer: 13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009187357793 to 7 decimal places.\nAnswer: 0.0000919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 105963.6 millennia in centuries?\nAnswer: 1059636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g + 4 = -3*g, 4*n - 2*g - 6 = 0. Let s = -4\/53 - -69\/212. Which is the smallest value? (a) n (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 + -86. Which is smaller: b or 49?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:10 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcccttt. Give prob of sequence hc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 30574*z\/3 - 30568.\nAnswer: -2*(z - 15284)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2205364*p**3 - 51*p**2 + 15861 wrt p?\nAnswer: -13232184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 27*x**2 - 5*x - 24. What is the units digit of p(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 111*d = 80*d + 2, -2*o + 4 = 5*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -600.76 + 587. Let b = 14.9 - 0.9. Let p = b + w. Round p to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -272. Suppose 0 = -5*g - 4*q + 360, g - 2*g - 3*q = -n. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/4 + 55*w**4\/2 + 27*w**3 - 55*w**2\/2 - 109*w\/4 = 0.\nAnswer: -109, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 52, 3, -2\/83, -19, 4\/7, 5 in descending order.\nAnswer: 52, 5, 3, 4\/7, 0.1, -2\/83, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16067 = -y + 4*a, -48227 = 831*y - 834*y - a. What are the prime factors of y?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 503 - 502.8. What is the closest to l in 0.3, -2\/3, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 1, 4*d = w + d + 3. Let l = -5 - -12. Let z be (-33)\/7 - 2\/l. Sort 4, 3, w, z.\nAnswer: z, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -789 - -971. Let f = 19 + -29. Let l = 4 - f. Calculate the greatest common divisor of l and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 68 = 4*q, 3*q = -y - q + 38. Let z = 40 - y. Suppose 6*o - 4*o = z. Sort -4, -2, o in increasing order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 - c**5\/60 - 7*c**3\/6 + c**2. Suppose -22*o + 24 = -19*o, 0 = -3*d + o - 8. Determine n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4 = 4*m, 3*k + 4*m + 6 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -123*n**2 - 31*n - 30. Let h be s(-1). Let m = h + 126. Let v(a) = -4*a + 4. Give v(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8647 + 14763. What is x rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3013 + 2?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + -10 + 4 - -4 - -25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3) + (2 - -1). Suppose 2*a + 21 - 5 = -i*n, a - 4*n - 22 = 0. Suppose 2*o + 2*q + 2 = 0, -4*o - a*q + 5*q + 31 = 0. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0524, -2\/17, 4, -2, -9.2, -4?\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*g**2 + 2864*a**3*g**2 + 5*a**3 - 22*a**2*g**2 - 9*g**2 + 83 wrt a?\nAnswer: -24*a*g**2 + 17184*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 - 2*o**2 - 71 + 4*o**2 + 4*o**2.\nAnswer: -3*o**2 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a - 2*a)*(-2*a + 2*a - 3*a) - 19*a - 13*a**2 - 10*a**2 + 25*a**2.\nAnswer: 8*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525012*j**4 + 77*j - 1.\nAnswer: -6300144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*m**2 - 25*m**2 - 2*m + 128*m**2 as t*m**2 + w*m + j and give t.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.8 - 0.5?\nAnswer: -56.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 42*m**2 - 87*m - 274. Determine h(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -55, 0.05288?\nAnswer: 0.05288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -28*x**3 - 9*x**2 + 29*x**3 - 9 + x**2 - 26 + 7*x. Let b be l(10). Calculate the greatest common divisor of b and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422 divided by -3\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264158, 528316, 792474?\n\"Answer: 264158*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*d**2 + d**3 - 57*d**2 + 24*d**2 + 2 + 29*d**4 - 2*d to k*d**3 + x*d**4 + h + a*d**2 + w*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.02682624 rounded to 2 dps?\nAnswer: -12.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 17. Let c = -12.9999905 + g. Round c to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -183. Let g = 12.1 + m. What is the nearest to 0.1 in g, -0.5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 72\/9*(-13)\/(-65)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u - 16*u + 22*u - 10 - 2*u. Let s be (-1 + -1)\/((-6)\/9). Let c be t(s). Solve 3*a - 15 = 0, 0 = -j - 2*j + 4*a - c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38616692900 to the nearest 1000000.\nAnswer: 38617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 5*a**4\/12 + a**3\/3 - a. Find the second derivative of k(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-24)\/(-40) + 171\/5. Calculate the highest common factor of t and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 4*u + 5. Let d(h) be the first derivative of 1\/2*h**2 - h + 2. Let a be 2\/4 + (-11)\/(-2). Calculate a*d(v) + c(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 + 152 = -28*b. Calculate the remainder when 463 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.2. Let n be -44 + 51 + ((-60)\/(-16) + -6)*3. What is the fourth biggest value in n, j, -2\/9, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u, -2*s + 106*u = 108*u - 946. What is the smallest common multiple of s and 344?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25629 to the nearest 100.\nAnswer: -25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0553 - 129150.\nAnswer: -129149.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33 - (-19)\/(266\/(-252)). Calculate the highest common divisor of m and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -58, -68, -82, -100, -122?\n\"Answer: -2*x**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10880000 to the nearest one hundred thousand.\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723*l - 1411592 = -169*l. Is -2549 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64592255 is divided by 1660.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 5*c + 10, -c - 2 = -3033*q + 3029*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11001101010010110010?\nAnswer: -11001101010010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12614, 1, 3554?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 133*l**2 + 205*l + 135. Calculate p(-65).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363775 (base 10) to base 16.\nAnswer: 58cff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*50\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 15778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/1050 - o**6\/200 - o**5\/300 + o**4\/40 + 20*o**2. Suppose k(v) = 0. What is v?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74253570 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 8*y + 25. Calculate the greatest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8126416*n. Let p(d) = 2*d. Calculate p(a(g)).\nAnswer: 16252832*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 + 2*h**5\/15 - h**4\/8 - h**3\/3 - 29*h**2 + 2. Find the second derivative of z(f) wrt f.\nAnswer: 6*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -6 + 0*z**3 + 3\/2*z**4 - 7\/2*z**2 + 66*z. Differentiate f(h) wrt h.\nAnswer: 18*h**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {r: 1, p: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 91*x**6\/8 + x**5\/30 - 3*x**4\/2 + x**3\/2 + 230*x**2 + 6. What is the second derivative of b(s) wrt s?\nAnswer: 8190*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.16 + -30.652.\nAnswer: -63.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*267.\nAnswer: 453.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*m - 398*m + 5 - 2 - 3.\nAnswer: -157*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4499238, -17996952, -40493142, -71987808, -112480950, -161972568?\n\"Answer: -4499238*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1 - (3 - 2)). Which is greater: n or -11\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111312*g**4 - 1188*g**3 - 715726413*g**2 wrt g?\nAnswer: -2671488*g - 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 421977 - 3232631 = -8*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 35*z + 20. Let l be u(-10). Suppose -5*c + 10*c = l. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8217.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2067 - 2067 + 100*i to the form b + g*i and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 12 - (1 + -1)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -14*u + 4*u. Suppose 5*a + 3 + 7 = 0. Is 6 a factor of ((-688)\/(-32))\/(u\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f + 53*f + 2*y - 7*y - 28 = 0, 5*f = 3*y + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 - 8*w**2 - 14*w - 22. Let s be y(7). Let q = -2304203\/12 + 191843. Let f = s + q. Find the common denominator of -27\/20 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) -2\/3 (c) -0.5 (d) 2 (e) -8\/345\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 56, 91, 130, 173, 220?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. Let u be h(9). Let a = 0.06 - -3.94. Let f = a - 0. Sort f, u, 0.3.\nAnswer: u, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1397, -2765, -4139, -5525, -6929?\nAnswer: -8357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p\/(p\/p**(-17)))\/p*p**1)\/((p**(-1\/57)\/p)\/(p\/p**(12\/7)*p)))**(-2\/39) assuming p is positive.\nAnswer: p**(10930\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*y + 114 - 1216*y**2 - 58 - 57 - 78*y as w*y + a + b*y**2 and give b.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 142*f**2 + 1730*f - 6709. Calculate g(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -14. Let v(m) be the third derivative of 0*m**3 - 1\/210*m**7 - 5*m**2 + 0*m + 0*m**4 + u + 0*m**5 + 1\/120*m**6. Factor v(y).\nAnswer: -y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(216))\/(-2*sqrt(98))*1.\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:31 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158 and 8?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, -81, -253, -491?\n\"Answer: -33*a**2 - 7*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 83191836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) 75 (b) -0.1 (c) 3\/8 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 54. Suppose d + x = 4*d. What is the remainder when 20 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -10*d + 5*n - 9, -d + 3*n = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 1:35 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 24*b - 41. Let z be a(5). Let m(h) = 3635*h**3 + 4*h**2 - 7*h + 24. Let j be m(z). What is j rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 887262240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1587*m**5 + 2191*m**2?\nAnswer: -95220*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 1595*n - 24135. Determine d(-15).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 782 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 11. Let g(v) = -v**2. What is j(g(p))?\nAnswer: -6*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 17*u - 68. What is m(6)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 1685540*p\/3 + 3371084\/3.\nAnswer: -(p - 2)*(p + 1685542)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -1112 - 292. Let z = 158 + w. Solve 2*j + j + 9 = 0, z*t + 10 = -2*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f, -f - 12873 = -3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 + 1. Let f be h(1). Suppose 6*p - f - 8 = 0. Does 9 divide (0 + (-29)\/(-3))*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -15. Let p = 6 + -6.1. Which is the nearest to -0.1? (a) 3\/8 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5*v + 0 + 1\/4*v**4 + 0*v**2 + 0*v**3. Let h(a) = -a**2. Determine i(h(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28578 (base 9) to base 3.\nAnswer: -222122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = -5*f. Let a = -10 - f. What is the second derivative of -a*v + 5*v**2 - 13*v**2 + 6*v**2 + 3*v**2 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -9 - 15 - (19 + -11 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i - 96. Let k = i - -130. Let w = 687\/7 - k. Sort 3, w, 0.5 in descending order.\nAnswer: 3, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37140.087 + -37082. Let u = -4 + 62. Let g = u - w. What is g rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 + 9*v**2 - 2*v + 1296 + 1166.\nAnswer: 9*v**2 - 2*v + 3286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-30))\/(13048\/4194))\/((-60)\/(-70))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2523 - 2528. Sort -0.2, 0.05, 2\/79, m in ascending order.\nAnswer: m, -0.2, 2\/79, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let l be r(-1). What is the units digit of ((-18)\/4)\/(l\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 2, e: 6, r: 2}. Give prob of picking 1 r, 2 y, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b + 2951. List the prime factors of x(-17).\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 83. Let g(p) = -41. Give 5*g(l) - 2*v(l).\nAnswer: 2*l - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, f: 8, d: 6}. What is prob of sequence kj?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10876349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41446344 (base 9) in base 6?\nAnswer: -1551102234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676619504 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*r + 60 = 5*q, r = q - 75. Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23304 - -23316. Calculate the smallest common multiple of p and 6486.\nAnswer: 12972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 421467 and 74666?\nAnswer: 850520406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5 + 30*v**4 - 161*v**3 - 776*v**2 - 132*v + 1040 = 0. Calculate v.\nAnswer: -2, 1, 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 166 = -2*u, -4*u = 2*p + 2*p - 164. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1216) - (-1 + sqrt(1216))) + sqrt(2736) + 1 + (-2 + sqrt(76) - sqrt(76)))**2 + 1.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247*f + 251 + 277 + 669 + f**2 + 65 wrt f?\nAnswer: 2*f - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(17)*-2 + sqrt(17))*-4 - (-2 + (sqrt(17) - (sqrt(17) + -1)) - sqrt(17)))**2 + sqrt(17) + (sqrt(68)\/sqrt(2))\/sqrt(2) + -5*(2*sqrt(17))**2.\nAnswer: 12*sqrt(17) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -82*y - 607. Determine t(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**(28\/5)\/((p\/p**(8\/3)*p*p)\/p**(2\/23)) assuming p is positive.\nAnswer: p**(-407\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 1)*(-1)\/5. Let s be 10442\/(-8) - (-1)\/4. Let v be (-1)\/(-2)*(-60)\/s. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 0*m**3 - 72 + 73 in the form b*m**2 + s + f*m + c*m**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011010001 - 1?\nAnswer: -10010011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5362 and 53718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (2 - (0 + 1)). Suppose 24*t = 4*t - 80. What are the prime factors of t - ((-26)\/c + -4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4*x - 3*x)*(-x + x - 3*x) + x**2 + 3*x**2 - 2*x**2 + (3 - 1 - 4)*(-70*x**2 - 3*x + 23370 - 23370).\nAnswer: 136*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/5*(-240)\/(-96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1018, -2036, -3054, -4072, -5090?\n\"Answer: -1018*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116387.\nAnswer: 116387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -915 divided by -5.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*1\/4. What is the closest to -5 in -0.2, 2\/5, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3\/5)\/((-33)\/110*18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36360499\/8 + -4537306. Suppose -v = 2*d + 7740, -2*v - 4*d - d - 15477 = 0. Let r = p + v. What is the common denominator of r and 53\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2071*m - 68. Let j(l) = 259*l - 8. Determine 51*j(f) - 6*y(f).\nAnswer: 783*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06186397 - 0.02186346. Let c = -0.04 + b. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5\/3 - c**4\/3 - 5*c**3\/3 - c**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/323760 and -53\/2133700?\nAnswer: 1817912400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:24 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142530 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: Calculate (-9)\/(-7) - 16\/56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219250 or 219199?\nAnswer: 219199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10680*x - 127998. Determine r(-12).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 100 - 20 = 0. Let l = 32 + k. Find the second derivative of o + 215*o**2 - 215*o**2 - l*o**5 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 14 = -5 - 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 890 = -891 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/243534 and 71\/129574?\nAnswer: 426428034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31065459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 3*v - 20, -5*s = -5*v + 30. Suppose -v*z - 121 - 31 = 0. What is the units digit of z\/(-6)*3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*n**2 - 18486*n - 867555 wrt n?\nAnswer: 58*n - 18486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101110?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -50 + -1 + 7523 + -7512.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n + 10 = -5*y, -4 = -3*y - n. Suppose -2*h + y*h = 0. Suppose 4*f = -5*r + 4, h = -5*r + 4*r. Solve j - 3 - f = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + i**2 - i**2)*(10*i**2 + 2*i**2 + 17*i**2).\nAnswer: -145*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 153*l + 2. Let b(w) = 156*w + 1. Calculate 3*b(k) - 2*d(k).\nAnswer: 162*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -107.999999896. Round p to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1057 = c, o - 158*c = -156*c + 280. Suppose 3*m - 146 = 124. Calculate the remainder when o is divided by m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 180*g + 1028. What is b(-6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 826840.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, -20, -95, -160?\n\"Answer: 5*l**2 - 100*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2438686 (base 9) in base 16?\nAnswer: -143865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91320.69ug to kilograms.\nAnswer: 0.00009132069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 0.54 (c) 55 (d) -0.3 (e) -524\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46\/15*f**2 + 4\/15*f**3 - 4 + 142\/15*f = 0 for f.\nAnswer: 1\/2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (620\/(-372))\/(1\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104999 is divided by 4770.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - y + 94 = -0*r, 0 = 4*r + 5*y + 160. Calculate the least common multiple of 18 and (-268)\/(-6) + (-15)\/r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**8*p)*p\/(p*p**(-1\/12)))\/(p**(1\/2)\/p*p*p\/p**9*p) assuming p is positive.\nAnswer: p**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*a + 7 = 3*m, -4 = a. Suppose -3*g + 3 = -m. Let p = 16 - 9. Calculate the smallest common multiple of p and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37417 divided by -14157?\nAnswer: -37417\/14157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + g = 14, 2*h + 10 = 3*h - 3*g. Suppose -h*n - 5*p = -2*n - 29, -2*p = -3*n - 4. Solve 4 = -0*m + n*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.49 - 0.54. Let b = -0.49 - n. Round b to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 + 13*l**2 - 9*l + 5. Let g(q) be the second derivative of 7*q**5\/10 - 5*q**4\/3 + 7*q**3\/3 - 4*q**2 + q + 2955. Give -5*g(o) - 8*x(o).\nAnswer: 2*o**3 - 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x + 4*x + x. Let u(n) = n**3 + n - 8. Give u(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.829 - -2.929. What is the closest to u in 3, 2\/5, -1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/4 + r**4\/3 + 2*r**3\/3 + 2*r**2 + 4*r. Let n(s) = -s**3 - s**2 - s - 1. Let f(o) = c(o) + 4*n(o). Factor f(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 r when three letters picked without replacement from {w: 3, p: 3, h: 1, n: 1, d: 2, r: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/27 and 22\/51543.\nAnswer: 51543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -17?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 2*s**2 - s**2 + 5*s**2 - 2*s**2 - 4*s**2 + (s + s + 0*s)*(4*s + 2*s - 4*s) + 4 + 2*s**2 - 4 - 4*s + s**2 + 4*s - 2 + 7*s + 0 + 4*s + s**2.\nAnswer: 8*s**2 + 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 444897043 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*b + 10348 = -9544 + 5672. What is the remainder when 173 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by 1.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 947797, 947783, 947771, 947761, 947753?\nAnswer: 947747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/4490 and -23\/131557.\nAnswer: 1315570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4573 - 2925. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8956*x - 497 = 8949*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 1, w: 1, s: 2, k: 2}. What is prob of picking 1 o and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:07 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008185 rounded to six dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*t - 647, 0 = -3*a - 2*t + 278 + 114. Suppose a = 3*k + f, k = -0*k - 5*f + 34. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 7*i - 7*i**2 - 1 + 3*i**2 to n*i**2 + z + d*i and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(153) + sqrt(17)*2*-3.\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Let p = 174.7 - 156. Let r = p + -19. Which is the closest to 2\/9? (a) -0.5 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -199*q + 1400. Determine h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {b: 4, d: 4, h: 2, k: 1, v: 6}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + (1*(sqrt(117) - (-1*sqrt(117) + sqrt(117))) - sqrt(117))\/(sqrt(36)*6) + 2)*3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, -5\/6, -5, 1, 9, 1\/11, 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 156.\nAnswer: -7\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/134 + 923\/670. Suppose -195 = n - 191. Sort q, n, -3, 1\/7 in decreasing order.\nAnswer: q, 1\/7, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 10. Let p be v(7). Solve 27 = l + p*d + 2*d, 0 = 4*l + d - 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:20 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 695538450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = 5. Factor -2 + g + o**3 + o + o**2 - 2*o.\nAnswer: (o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 + n**2 + 11*n + 52. Is r(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1783, 1782, 1781, 1780, 1779, 1778?\n\"Answer: -a + 1784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**4 + 27*q**3 - 3191*q**2\/2 - 1898. What is the second derivative of g(w) wrt w?\nAnswer: -48*w + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4688 - 21686 = 1709*v + 30854 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/450*8\/18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let a be h(-2). Let v(p) = -a - 2*p - 8*p - p**2 + 0 + 3*p. What are the prime factors of v(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 320131 = 5*t, -24*t - 320139 = -29*t + 3*x. What are the prime factors of t?\nAnswer: 3, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2605.9998767 - -2606. Round a to 6 dps.\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30124.\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 957356255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/6))**(1\/2)*s**(2\/87)\/(s\/s**(-14)*s) assuming s is positive.\nAnswer: s**(-5879\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-253)\/(-4) + 3\/(-12). Let i be 6\/2*147\/a. Solve i = -3*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, 2\/5, -12785 in increasing order.\nAnswer: -12785, -0.1, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 29*k + 201. Let p be n(23). Calculate the highest common factor of 2415 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -311.1 - -311. What is the closest to -0.1 in s, 0.5, 0.4, -0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h, 3*w + 5*h - 36 = -5. Suppose 0 = 77*p - 71*p - 24. Is (-317)\/((8\/p)\/(w*-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:52 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -9)\/((14\/(-21))\/1). Let h be (-15)\/(-70)*-7 - 7\/f. Let -2\/3*a**3 + h*a - 1\/6*a**5 + a**2 - a**4 + 0 = 0. What is a?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*v - 16 = 0, 4*v = -m - 0 + 10. Suppose 2*h = m*i + h - 45, -106 = -5*i - 4*h. Solve 4*s + i - 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 24*z**2. Let a(i) = -228*i**2 + 2*i. Calculate a(y(b)).\nAnswer: -131328*b**4 + 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 14*f. Let m be n(-14). Let o = 7 - m. What is the third derivative of 4*u**4 + u**5 - 4*u**4 - o*u**5 - 2*u**2 wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -148\/1793?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.218 + -0.618. Which is the fourth biggest value? (a) l (b) -4\/7 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:40 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 7*d**2 + 10*d**2 - 21*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*i**5 + i**4 - 3*i**3 - 2*i**2 - 112*i - 7.\nAnswer: -8040*i**2 + 24*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -9. Suppose -y*o = -3*o. Let t(i) = -i**3 + i + 110. Let l be t(o). Calculate the highest common factor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -225301?\nAnswer: 225301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 7 + -2 - -36. Sort 4, t, 0 in increasing order.\nAnswer: 0, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 62 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let k = 480.8385 - 0.4385. Let r = k + -480. Which is the fourth smallest value? (a) r (b) -7 (c) v (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-18) - ((-14)\/(-6) - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f - 2. Is 9 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**6\/30 + b**3\/2 - 3*b - 3. Let s(i) be the first derivative of q(i). Find the second derivative of s(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9835108 is divided by 150?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n - 32*n + 54*n + 10. Suppose -3*q - 44 + 5 = 0. What is the units digit of y(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 5*k**4 + 0*k**4 + 16*k**3 - 16*k**3 - 17*k**4 + (-k + k - 2*k)*(4*k**3 - 3*k**3 - 2*k**3) + (-1 + 3 - 4)*(-2*k**4 - 3*k**4 + 7*k**4 - k**3).\nAnswer: -24*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 13*c**2 + 14*c - 8. Let g(j) = -6*j + 82. Let f be g(16). Give i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.65578106 - -4?\nAnswer: -37.65578106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/15)\/((-1)\/5). Let a be ((-6)\/4)\/(w\/8). Let i = a - 1. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 47 = 6*n. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4813*w + 2 - 4304*w - 2 in the form x*w + n and give x.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:35 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14215433 < -14215432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 + 2*m - 5. Let u(o) = 11*o + 1. What is the remainder when p(-4) is divided by u(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499 - -503. Let v = 0.56 + -0.06. Which is the biggest value? (a) v (b) -0.4 (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 55. Suppose -x = -5*k + 158. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 141.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(16)\/sqrt(4)) - sqrt(11))**2 + (sqrt(66)\/(sqrt(6)*1) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1.5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let p(y) = 2*y**2 + 228. What is p(i(r))?\nAnswer: 2*r**4 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508455 is divided by 805?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 332.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/36*n**4 - n + 1\/6*n**2 + 0 + 0*n**3. Factor g(v).\nAnswer: -(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-88) - (-2)\/11. Let w = -1\/49 + 67\/882. Which is the closest to h? (a) w (b) 5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16555\/1032 - ((-12)\/600*10 - 58\/(-240))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = -y - 0*y, -3*h + 12 = y. Suppose 3*g + 1 - 7 = -3*d, y = 3*d + 5*g - 2. Is 1\/(d - (-80975)\/(-20245)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2321 - 2320. Put -8, -4, 9\/8, h in decreasing order.\nAnswer: 9\/8, h, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*a**4 + a**3*t + 265*t with respect to a.\nAnswer: -932*a**3 + 3*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/79 (b) 2 (c) -2 (d) 0 (e) -9 (f) 17\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139081289 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: Suppose -175 = j + 4*j. Let w(t) = 9*t**2 + 34*t + 118. Let z be w(-4). Let d = z - 162. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087580 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, 0.2, 2, 0.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 - 5*i + 3. Let x be h(5). Suppose 5*q - 7 = x. Let m = 2 - 0. Calculate the greatest common divisor of q and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 582 by 582.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251 + 275. Calculate the smallest common multiple of 30 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279703 at least as big as 8279726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79332*q**2 - 8 - 7 + 15 - 79343*q**2 + 158681*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763853?\nAnswer: 3, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let n = -8\/13 + 50\/39. Let l = -6.9 - -5.9. What is the closest to 0 in x, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011 (base 2) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9)**(-3\/10)\/(j**(-44))**(1\/22) assuming j is positive.\nAnswer: j**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22064200 rounded to the nearest one hundred thousand?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 - r**4\/3 - 5*r**3\/6 + 5*r**2\/2 + 8*r. Calculate the lowest common multiple of 11 and b(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - 2*b**3\/3 - 2*b**2 + b + 1. Let t = -6 - -3. Is o(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5778 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7000001 + -0.7. Round z to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 78*n**2 - 248*n + 13166. Let f be x(77). Let b(r) = -r + 4*r + 2*r. Determine b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) + 16\/(-3). Suppose t + 4*q + 21 = 0, 2*t = 7*t + 3*q + 173. Let v = k - t. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 26. Solve n - 10 = -4*n - 5*w, -3*n + 5*w - g = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (32 - 29 - (7 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*v - v = 0, -v = -5*y + 26. Solve 0 = -y*r - 1 - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244 + 443. Let y = 248 - c. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7440\/(-200))\/(-31) - (-63)\/(-40)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t + 1. Let a(d) = 20*d - 4. Let j(n) = 6*a(n) + 17*b(n). Let q = 13 + -6. Let l be j(q). Solve 2*v + 8 = v + 5*y, l = -v - 2*y + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742 a factor of 203127360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 2*q + 5, 5*q - 53 = -5*r + 2. Solve 391 = -r*n + 412 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.84. Let d = 4.72 - 0.475. Let h = d + 0.755. Which is the smallest value? (a) h (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - l = 17, 181 = r - l + 180 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272.42723 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n + 1. Let q be j(-1). Suppose 4*w = -w + 2*t + q, 4*t = 0. Suppose -4*s = -4*b - 40, 14 = -2*s + 3*s - w*b. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141914070 and 45?\nAnswer: 141914070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 l when three letters picked without replacement from {w: 2, t: 2, f: 1, s: 1, l: 1, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -139\/7, 3, -9\/2, 4, 0.4, -0.5 in ascending order.\nAnswer: -139\/7, -9\/2, -0.5, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2*d**2 + d**2 + (2*d + 2 - 2)*(-1 - 3*d + 1) - 3*d**2 + 5*d**2 + 0*d**2 + 8168 - 8168 - 401*d**2 as v + o*d**2 + r*d and give o.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0, 3\/4526 in decreasing order.\nAnswer: 0.7, 3\/4526, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 372?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07574 + 0.14822. Round t to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v\/(v**(-2\/5)\/v)))\/v*v)**(-25\/6)\/(v**(-1\/9)*v**10) assuming v is positive.\nAnswer: v**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9138 - 9136. Let p(h) be the first derivative of -3 + 0*h**3 + 12*h**y + 0*h - 37\/4*h**4. Find the second derivative of p(g) wrt g.\nAnswer: -222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7171101 * 0.5.\nAnswer: -3585550.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1636.\nAnswer: 9816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 50 = 84. Calculate the remainder when 31 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27559 is divided by 265.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000687 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -784 (b) 5\/6 (c) -1\/3 (d) -24\/217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:33 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1443)\/(-91) + 2\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23858, -49608, -75356, -101102, -126846?\n\"Answer: u**2 - 25753*u + 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**3 - 2*l**2 + 6*l + 5. Let q be j(6). Suppose -4*x + 1478 = t + t, -3*t + q = 4*x. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2873*a + 3901*a + 49*a.\nAnswer: 6823*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1986, 72, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -217 + 1242. Is 41 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -14 + 26. Suppose z + t*z = -5*h + 636, 3*z = 5*h + 606. Calculate the greatest common divisor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 - a. Let o(r) = -12*r**3 - 3*r**2 - 3*r. Give -2*o(c) + 6*v(c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*c = 8, -77*c + 72*c = -4*p + 25. Solve -2\/5*r**2 + 6\/5*r**3 + 0*r + 0 + 2\/5*r**4 - 6\/5*r**p = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:13 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49252, 196949, 443116, 787753, 1230860, 1772437?\nAnswer: 2412484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -12*d**2. Let t(m) = m**2 - 47 + 21 + 26. Give u(t(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, -227, -576, -925, -1274?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 730146 (base 8) in base 16?\nAnswer: 3b066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23501 and 3195?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*r - 15, r + 3*b - 25 = -4*r. Suppose 2*f = 5*l - 363, r*l - 128 - 241 = -4*f. Let n = -41 + l. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 167915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n**3 - 112*n**3 - 107*n**3.\nAnswer: -170*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 3. Suppose v + 4*v = 3*v. Let u be i(v). Is (-4350)\/(-48) + u\/8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-1)\/(-15)). Let p be 0\/j - (-3 - 1). Suppose 4*g = 6*g + p, t + 4100004 = -2*g. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -42, -70, -104, -144, -190, -242?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.083767 micrometers in meters?\nAnswer: 0.000005083767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-1)\/sqrt(4) + 0 + sqrt(51)\/sqrt(3) + (-4 + -2 + 2*sqrt(17))**2.\nAnswer: -23*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/102083 and 28\/89?\nAnswer: 102083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 9*l - 45\/2.\nAnswer: -(l + 3)*(l + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(304) + 1 + sqrt(304))**2*3 + (sqrt(19) + sqrt(76)*-6 - (sqrt(19) - (0 + 3 + sqrt(19)))).\nAnswer: 37*sqrt(19) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222844 - -5795069\/26. Let d = 10\/13 - z. What is the common denominator of 61\/18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1333563.5 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**4 + 337239*x**3 - 337245*x**2 - 337239*x + 337242 = 0.\nAnswer: -112414, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 e when three letters picked without replacement from elcllellllwcxe?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/25 (b) -62 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42892 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*u = 5 + 2, 6*m = -2*u + 14. Solve -o = -3*z - 11 + m, 2*z = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u**2. Let s = 16 + -11. Let q(n) = 10*n - 49. Let b be q(5). Let r(v) = -b + s - 4 + 2*v. Give m(r(f)).\nAnswer: 124*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 37*k + 38*k + 42 + (-1 - 2 + 2)*(-5*k - 2*k + 5*k) + k + 0 + 0 as g*k + d and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1345?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4094 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*o + 56, -9 = 2*x - 3*o - 23. Let c be (-4)\/(-3) - (x + (-186)\/9). Put c, 2, -1, 3 in descending order.\nAnswer: c, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*i + 31402 = -31838 for i.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61410220 (base 7) in base 9?\nAnswer: -10576157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 152*j**2 - 1510*j - 1664.\nAnswer: -2*(j - 64)*(j - 13)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(5\/8)\/a**4)\/(a**13*a*(a*a*a*a**(1\/6)*a)\/a))**(-16))**(-10\/13) assuming a is positive.\nAnswer: a**(-9860\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**3 + 30*n**2 - 27*n - 20. Let p(w) = 3*w**3 - 10*w**2 + 9*w + 7. Let j(y) = 4*l(y) + 11*p(y). Is j(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*z + 262*z = 756. Let u be (-2028)\/z - (-4)\/112*-4. What is the highest common divisor of 42 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ee7 (base 15) in base 11?\nAnswer: 507a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49960402, 49960406, 49960410, 49960414, 49960418?\nAnswer: 49960422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -94, 2, -2, -812, 1, 132 in decreasing order.\nAnswer: 132, 2, 1, -2, -3, -94, -812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 12, 0*j - 4*j + 2*n = 0. Let u(o) = -17*o + 22. Let v be u(j). What are the prime factors of v\/78 - (-587)\/13?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56\/15 + -7\/5. Let o = n - 29\/15. Let i be (-13)\/(-5) - 4*5\/10. Which is the third biggest value? (a) i (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -128? (a) 1\/15 (b) 10 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 6}. Give prob of sequence ehh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 124106.\nAnswer: 50\/62053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 917 + 1219. Let f = -184 + u. Calculate the remainder when f is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 t when four letters picked without replacement from yyttooooy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3252*l + 6755. Give r(-2).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 - 590. Let x = g + 432.6. Let i = -34 + x. Sort i, 0.8, 3\/4 in decreasing order.\nAnswer: 0.8, 3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:11 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517447.\nAnswer: 7, 29, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -37*f. Let b(l) = -6*l. Let z be 4\/1 + (-9)\/((-36)\/(-32)). Let w(c) = -7*c. Let n(s) = z*w(s) + 5*b(s). Calculate o(n(g)).\nAnswer: 74*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 428, -2, 2.92, 1\/2, 3\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 741*c**3 + 1494*c**2.\nAnswer: -3*c**2*(c - 2)*(c + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27992.\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21942*h - 22282*h - 22429*h + 62507*h.\nAnswer: -4146*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1944)*-2)\/((1*sqrt(24)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36557 equal to 36558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 185?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b + 6*b - 7*b)*(-2*b + 3*b - 3*b) + (7*b - 3*b - 2*b)*(7 - 7 + 3*b) + 2*b**2 - 3*b + 3*b - b**2 + 0*b**2 - b**2 as u*b**2 + i*b + f and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641, 2587, 5831, 10373, 16213, 23351?\nAnswer: 31787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/((-30)\/5))\/(-2). Which is smaller: 160 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - 13\/(-4). Suppose -a*s - 2*s = 0. Let y(p) = -3*p**2 + p + 3. Let v be y(0). Solve v*n + 7 + 2 = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -6*sqrt(57)\/sqrt(3))**2 - sqrt(19))*2 + -4.\nAnswer: -2*sqrt(19) + 1858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*f = 44*f + 138*f + 212*f - 77575 for f.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -292*s. Let u(d) = -2093*d. What is h(u(a))?\nAnswer: 611156*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*o + 1517, -3*o - 5*k + 1505 = o. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1155 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6*l = -16. Let t = -1 + 5. What is the first derivative of -m**4 - 6*m**t + 0*m**4 + 0*m**l + 5 wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1129417*t + 993317.\nAnswer: -1129417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20300, 40601, 60902, 81203, 101504?\nAnswer: 121805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + b = -5*s - 3746, 5*b - 2520 = 2*s. Let q = s - -2145. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:25 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -56. Let j be (2 - -1)\/h*(16 + -15). Let l = -0.1 + 5.1. What is the closest to j in l, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + a)*(-2*a**4 + 3*a**3 - 3*a**3) - 4*a**5 + 5*a**5 + a**5 + (-2*a**4 - 4*a**2 + 4*a**2)*(-1221*a - 1210*a + 2413*a).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 49*c**2 - 90*c - 144. Give m(47).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 526481.92?\nAnswer: 526481.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -10, -70, -190, -388, -682, -1090?\nAnswer: -1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -39, -94, -189, -336, -547, -834, -1209?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*1191*(-567)\/(-243)?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*d = 4*l - 3553*d + 2, -5*l - 4*d = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330215 is divided by 13310.\nAnswer: 10775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2235118525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -88\/15, -4\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:40 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 993*d + 3430. What is the hundreds digit of j(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 25*i - 9.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.6 + 17. Let t = -0.6 - j. Is t bigger than -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a**3 + 4*a**3 - 34*a**3)*(-133*a + 646*a - 323*a) + (-2*a**3 + a**3 + 2*a**3)*(-3*a - 2*a + 4*a).\nAnswer: -3421*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/7899973 or -1?\nAnswer: -1\/7899973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 198\/8 + (-11)\/(-44). Let g = -2 - -7. Suppose -g*i = -i - 84. Solve -5*a = -f, 0*c + i = c + 5*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheehwehoeoweee. Give prob of sequence wwoo.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -208. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, y: 11}. Give prob of picking 1 c and 3 y.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -23*u**6\/360 - u**5\/60 - u**4\/3 - 3*u**2. Let n(v) be the second derivative of l(v). What is the units digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 18*n - 27 = 0. Solve 0 = n*u - u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(1700) + 3 + sqrt(1700)*2 - (-4 + sqrt(1700) + -5)) + 1)*1)**2.\nAnswer: 520*sqrt(17) + 6969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -741.099865 - -744.1. Let r = m - 3. Round r to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943536 divided by 132?\nAnswer: 7148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 6\/17, 3, 2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182854814*a*v - 105452468*a wrt v?\nAnswer: -182854814*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/496)\/((-21)\/(-56)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 25*n**2 - 28*n + 668. Determine g(25).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 587?\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 6 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 13*k. Suppose 2*x + 36 = -5*o, 42 = -5*x + 5*o - 13. Let s be z(x). Solve -g = -s*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 112070.\nAnswer: 336210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4.02. Let h = 0.02 + p. Suppose 0*l + 12 = 2*l. Sort 2\/15, l, h in ascending order.\nAnswer: h, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((2 - 0) + -4) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011359719 rounded to 7 decimal places?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3 = -13*s + 12*s, -12 = -4*s - 4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 41182618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 5*g = 9*h + 34, 3*h - 4*g = -11. Solve 0 = h*m - 2*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94438584 and 4023?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 39 = 3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, -48, -324, -710?\n\"Answer: -55*s**2 - s + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y**(-2\/7)\/y)\/y)\/y)\/y)\/y*y)**8\/(y**(-3)\/y**(5\/4)))**(2\/113) assuming y is positive.\nAnswer: y**(-841\/1582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:04 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.67047 to two dps.\nAnswer: 5.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 2*u**2 - 1\/3*u**3 + 0 + 0*u - 1\/24*u**4. Suppose -5 = 3*a + 1. Calculate k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 5. Let p = 15 + k. Let g(l) = l**3 - 4*l**2 + 3*l - 8. What is the remainder when p is divided by g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 7\/(-2) - 0. Let v = -33.5 + 33. Put v, 1, m in descending order.\nAnswer: m, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -32, 0.2, -4, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/5 in 638, -1\/5, -2529?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 325*c - 1220.\nAnswer: -5*(c + 4)*(c + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 2044*n**2 - 66293*n - 140770.\nAnswer: -(n - 2011)*(n - 35)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 0.3, 1, 224 in decreasing order.\nAnswer: 224, 1, 0.3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (((-17270)\/225)\/((-4)\/5) - (-222)\/3996)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 1275?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 24 - (66 + -34).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214822 + -120770. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -18*h**2. Let n(f) = 30980 - 6*f + 30977 - 61957. Give o(n(r)).\nAnswer: -648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -464*o - 19020. Determine t(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 5. Let z be u(3). Suppose z*w = -2*w + 12. Let b(p) = -p**3 + 6*p**2 + 9*p - 10. Let s be b(7). Is w less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 736.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(8\/7))\/(v**(-1\/13)\/v)*(v*v**(-18))\/(v*(v\/((v**(2\/55)*v)\/v*v))\/v))**20 assuming v is positive.\nAnswer: v**(-320912\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 406914, 813828, 1220742, 1627656, 2034570?\n\"Answer: 406914*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 14*p + 4. Let y be (2 - -1)\/((-3)\/(-60)). Suppose -9*t + 3*t - y = 0. List the prime factors of c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7070, 1073 in descending order.\nAnswer: 7070, 1073, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/13 - 74*o**3\/13 - 782*o**2\/13 - 1734*o\/13 = 0.\nAnswer: -17, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878744597 to the power of 1\/2, to the nearest integer?\nAnswer: 43344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/9452 and 53\/32.\nAnswer: 75616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 - 2*-1. Suppose -3*j = -j - 4. Let f be l\/(j\/1) + 0. Solve f = r - 0*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 91. Let z(c) = -2*c - 45. What is -3*i(g) - 5*z(g)?\nAnswer: -2*g - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 19006.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075459?\nAnswer: 7, 11, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 636 = -2*x + 620, 0 = q + 2*x + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - (-200 + 156 - 61)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (5 - -10)) + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(59 - -1). Let l = -18 - m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -u + 338, -4*h = -2*u - 1128 - 194. Does 37 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-6 + (-4 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-1)\/(-4)*3\/(-75)). Suppose 0 = 221*b - 220*b - q. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a83 - 6?\nAnswer: 28a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/17 + 8359398*u\/17 + 25078176\/17 = 0 for u.\nAnswer: -4179696, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1235ba7 - -8?\nAnswer: -1235b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -178*l**3 + l**2 - 1. Let b be d(-1). Suppose -p = i, -i + 2*p - 49 = -55. Suppose -i*k + b = 5*w - 147, -w - k = -68. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2190193998 + 38.5?\nAnswer: -2190193959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((sqrt(684) - (0 + sqrt(684) + 2*sqrt(684) + sqrt(684)))**2 - sqrt(684)).\nAnswer: -6*sqrt(19) + 6159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 17765*f - 106539. What is u(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r - 677. Give a(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:53 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b - 21 + 15*b + b**2 as x*b + o*b**2 + w and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 28*s + 55 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -1027*m**7\/210 - 11*m**5\/12 + m**4\/12 - 44*m**2. Find the third derivative of c(r) wrt r.\nAnswer: -24648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -431236 = -431236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22612, -45224, -67858, -90526, -113240, -136012, -158854, -181778?\nAnswer: -204796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*r**4 - 131*r**2 + 98 wrt r.\nAnswer: 72*r**3 - 262*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -4. Let u be 3\/10*l\/12. Suppose 28*k - 11 = 39*k. Which is the closest to 2\/3? (a) -4 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g - 7. Let b be q(-6). Suppose f + 3*z + 739 = 5*f, -2*f + 359 = -b*z. What is the greatest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 4*f - 5*f)*(-5*f + 3*f + 13*f) to b*f**2 + j*f + g and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -77*p - 0*p - 555 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2. Let f(r) be the third derivative of r**5\/30 - 9*r**2. Give f(m(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + 42 + (-60 - 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 60 = -5*z - 406, 2*z = 3*t - 699. Let p = t - -790. What are the prime factors of p?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2 and 105\/1682?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*z**3 + 1 + 52*z - 2486*z**3 - 11*z - 3 - 38*z.\nAnswer: -2347*z**3 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49432, -49413, -49372, -49297, -49176?\n\"Answer: 2*g**3 - g**2 + 8*g - 49441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/100631 + 59472931\/503155. Let u = f + -117. Let c = -3.3 - -0.3. Sort u, -4, c in decreasing order.\nAnswer: u, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 7897*u - 7892*u - 95, -3*r = 4*u - 111 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/20 - (-887)\/(-5). Let u be r\/3 - (-1)\/3. Let j = u + 167\/3. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*b = -8, 5*y - 4*y + 3*b - 4 = 0. Which is smaller: y or 1269?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 93909.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/10)\/((-1)\/6)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**4 - w**3 + w**2 - w + 1. Let x(t) = 4*t**4 + 3*t**3 - 3*t**2 + 3*t - 2. Let m(s) = -3*v(s) - x(s). Find the first derivative of m(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/(-1265)*(-135)\/(-30)*4\/9\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/150*(-20)\/(-8)*(-51)\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04962143646 rounded to 4 dps?\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141301*g*h + 86033*h wrt g.\nAnswer: -141301*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from yqayqyovqqllqvq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8243320328 to the power of 1\/2, to the nearest integer?\nAnswer: 90793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 248169*3.27\nAnswer: 811512.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2703 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g + 14*g + 8 - 10 - 48*g + 8 + 24.\nAnswer: -2*g + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j + 2*j - 2 - 4*j**2 to x*j**2 + n + i*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -217\/3. What is the nearest to -1 in z, 0.01, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 9 - 19 = 0. Solve -g = s*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6) + sqrt(18)\/(sqrt(6) - -1*sqrt(6)) + sqrt(3).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3) + 2 - 7. Let y be (2 + c\/2)*-8. Suppose -y = -o + 1. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232309537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42458, 42451, 42440, 42425, 42406, 42383?\n\"Answer: -2*l**2 - l + 42461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k. Let v(h) = -6*h**2 + 9*h - 18. Let o(n) = n**2 - n + 2. Let y(d) = 9*o(d) + v(d). What is b(y(j))?\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**3 - 59*y. Let l(f) = 11*f**3 - 55*f. What is 4*a(k) - 5*l(k)?\nAnswer: -7*k**3 + 39*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/118 or 70?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1224)\/1088*4\/18*-3. Solve 9\/2*t - l*t**2 - 6 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 10797*d - 24. Let p(b) = 6*b**2 - 32393*b + 68. Determine -17*m(v) - 6*p(v).\nAnswer: -2*v**2 + 10809*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 4*f**3 + 2*f**3)*(5*f - 39 + 39)*(-3*f + 7*f - f) - 5*f**5 + 4*f**5 + 0*f**5.\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38842.\nAnswer: 2, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -689853347?\nAnswer: 689853341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5345 + -5149. Calculate the remainder when k is divided by 68.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 10, d: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33863080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 948 = 6*t. Let r = 505 - t. List the prime factors of r.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 2. Let c(y) = -17*y - 5. Suppose 0 = -21*h - 0*h + 1575. Let k be 215\/h - 2\/(-15). Determine k*c(p) - 8*l(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*u = -l + 22, l + 3*u - 9 = 0. Suppose -l = -c, 2*z - 5*c + 3 = -2. What is the remainder when 2*-2 + (-168)\/(-28)*2 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-80))\/(1\/(-30)) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/((b*b**(1\/2))\/b))\/(b**(-17\/5))**37)**15 assuming b is positive.\nAnswer: b**(3779\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 24*z + 25*z - 22*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 333 = -5. Let j = 108 - a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 25 = 5*v, -4*u + 3*v = -u + 9. Let p(i) = 9*i. Let f(g) = 8*g. Give u*p(h) + 6*f(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 76896*v - 17.\nAnswer: 76896*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21670, 173356, 585114, 1386988, 2709022, 4681260?\n\"Answer: 21674*j**3 - 8*j**2 - 8*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -19 (c) 7448 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -56*a**3 - 3*a**2 - 4*a - 2837. Let h(r) = 2*r**3 - 3*r**2 - 2*r + 1. Let x(f) = 2*h(f) - q(f). Find the first derivative of x(l) wrt l.\nAnswer: 180*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 - 13*o**3 + 11 - 7*o**3 - 4.\nAnswer: -29*o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 34*r**2 + 3401*r + 115566. Calculate q(-34).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, w: 1, d: 3}. Give prob of sequence twtt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20304 and 43818476.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -12. Suppose 3*i + 3*f = k - 0, 2*i - 4 = -4*f. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*i. Let r(d) = d**2 + d + 11 + 0*d**i + 0*d**2 - 2*d**2. Suppose -2*v + 2*s + 2*s = -20, 0 = -4*v + 4*s + 20. Calculate r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 524*a + 61052. Determine n(174).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11982 + 11985. Solve -5*d - t - 7 = 0, 0 = 3*d + u*t + 14 - 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90 and 1.396.\nAnswer: 91.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + -5. Let x(o) = o**2 + 10*o + 4. Calculate the remainder when x(n) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46 and (60\/(-690))\/(20\/118).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 57474 + t**3 - 57474.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 605 and 2191508?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137 and 5?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19485.77 rounded to the nearest one hundred?\nAnswer: -19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -25*f - 36. What is k(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*o = -20, 1660*g + 5*o = 1659*g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n - 3. Let x be p(-1). Suppose 0*i - 5 = w - 2*i, 5*i = -4*w + x. Put 1, 0, w, -5 in increasing order.\nAnswer: -5, w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240442.909 + -240555. Let f = i - -112. Are 2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110 (base 2) to base 14\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 792, 1577, 2354, 3123, 3884, 4637, 5382?\n\"Answer: -4*g**2 + 797*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - 0 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 - 9*h - 87. Give b(7).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -10*f + 14*f. What is the greatest common factor of 54 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*(sqrt(209) + (-3*sqrt(209) - sqrt(209)) + sqrt(209)))\/sqrt(11))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74460*b**3*n - b**3 - 599*b**2 with respect to n.\nAnswer: -74460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (235\/75 - 3)\/(3\/30)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 67 - 413 = 0. Put -6, -4, z in decreasing order.\nAnswer: z, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**9\/7560 + c**6\/720 - c**4\/12 + 2*c. Let s(m) be the third derivative of v(m). Find the second derivative of s(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -27 - 13. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 4210494*d - 197886591 = 0 for d.\nAnswer: 47, 1403451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s + 72. Let y be r(7). Calculate the highest common factor of 44 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31160 - -5469. Is (1 - 0)\/((-23)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201601 - -85601. What is q rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:28 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.1. Let t = -12.9 + 6. Let s = t - -7. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320478, -640958, -961438?\nAnswer: -1281918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1a5 (base 12) to base 7\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 941 + -1360. Let t = l - -748. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.487376 rounded to two decimal places?\nAnswer: -4.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/189153 and 61\/43841462.\nAnswer: 394573158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 119 - 27. Let i(v) = v + b - 23. Let o(j) be the second derivative of -5*j**3\/2 - j**2 - 25*j. What is i(o(p))?\nAnswer: -15*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j + 19*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.4 - -96.5. What is the closest to p in -2\/5, 4, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - b - 5*h - 14 = 0, -1 = -b + 4*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -16*n**3 - n**2 + 27*n + 3. Calculate the lowest common multiple of k(-5) and 1358.\nAnswer: 25802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133295, 266593, 399897, 533207, 666523?\nAnswer: 799845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 181 - 72 - 7350\/63.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 9 (c) -1\/10 (d) -1 (e) 4 (f) -7\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) -1 (c) -4\/5 (d) -0.079 (e) -917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let q(i) = -i**2 - 9*i + 4. Let r(a) = 3*k(a) - q(a). What is the units digit of r(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)*1)\/sqrt(2) + 1 + 3)**2 - ((-2*sqrt(130) + sqrt(130) - sqrt(130) - sqrt(130))*-6)\/(sqrt(640)*-1).\nAnswer: 29 + 41*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13707 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l**2 + 0)*(2 + 3*l - 2) + l**3 + 2*l**3 - 4*l**3 + (3*l + 2*l**3 - 3*l)*(-1 - 1 + 3) - 4 + 4 - 3*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**2 + 4*o - 23. Let r(q) = -q**2 + q - 1. Let k be 20\/45*-3*1*3. Let j(t) = k*r(t) + x(t). What is the derivative of j(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 17. Calculate the remainder when 108 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -1.81264811883.\nAnswer: -2.01264811883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 987276 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265488 divided by 66372.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 = 4*c - 94, -5*m - c = -110. Put m, 2, 3 in decreasing order.\nAnswer: m, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + -1430. Let v = -1267.95865 - u. What is v rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = 3*x + 83 + 80, -2*x + 5*x - v - 11 = 6*x - 0*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 9*i**2 + 52*i**2.\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795431*l**2 + 3590953*l**2 - 7*l - 1795523*l**2.\nAnswer: -l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 374880.\nAnswer: 2624160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 5*g + 3. Suppose -2*i + 52 = -36*w + 34*w, -162 = 5*w + 3*i. Let c be (4 + 16\/(-6))\/((-8)\/w). Calculate v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 660134*a**2\/5 - 3036828*a.\nAnswer: 2*a*(a - 23)*(a + 330090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 25*q**5\/2 - q**4\/12 - 1148*q**3\/3 - 1484*q. Find the second derivative of p(r) wrt r.\nAnswer: 1500*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -3, 14 in decreasing order.\nAnswer: 14, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3159505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -19, -47, -95, -169, -275, -419, -607?\n\"Answer: -w**3 - w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/25)\/((-2)\/(-10)). Suppose -n - u*n = 16. Let f = -1 - n. Calculate the least common multiple of f and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 127 + 127. Let r(d) be the first derivative of -d**4\/12 + 3*d**2\/2 - 1. Let q(b) be the second derivative of r(b). What is v(q(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -3.94?\nAnswer: -1.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1459274*z**4 - 5*z - 67741.\nAnswer: 17511288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-64)*2\/(-4)*-24. Suppose 3*y = x, 0*y + 48 = 4*b + 4*y. Calculate the smallest common multiple of 28 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 21067 = -5*s, -15805 = -3*s - 4*t - 3175. Suppose 0 = -x - 4*x + 15, 5*d + 3*x = s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9530 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16388.901433666 and -0.5?\nAnswer: 16389.401433666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*h - 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8062 and 52403.\nAnswer: 104806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 1)*20\/35. Suppose -3*i + n*i - 9 = 0. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*r - 114*r - 6*r**4 - r**4 + 0*r + 0*r + (r + 1 - 1)*(2*r**3 + 4*r - 4*r) to b*r + j*r**3 + u + t*r**2 + h*r**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/38? (a) -4 (b) 13\/8 (c) -0.4 (d) -81 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*o + 29, 3*o - 13 = o - r. Let k(z) = z**3 + z + 2. Let j be k(0). Suppose y + 16 = j*y. Calculate the remainder when y is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*t - 90, -2*c + 106 = -0*t - 4*t. Let v = -148 - -259. Suppose 4*b = b - 3*u + v, -4*u = b - c. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3606 is divided by 189?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604 and 29388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3234, 3247, 3246, 3225, 3178, 3099, 2982, 2821?\n\"Answer: -v**3 - v**2 + 23*v + 3213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1233\/620 - 26\/31. Find the common denominator of (-202)\/(-6)*(-24)\/32 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317762606351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 17*g = -3350. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 35*i + 102*i + 28*i + 2*i**2.\nAnswer: 2*i**2 + 168*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 373, 1475, 3303, 5851, 9113, 13083, 17755?\n\"Answer: -d**3 + 369*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/64 and -57\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 47 = 15. Let t = h - -8. Suppose c = 2*c - 4. Solve -c*r = x + 13, t*r = x - 5*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + 99\/21. Let k(m) = -m**3 - 8*m**2 - 3*m + 28. Let z be k(-7). Suppose x*v - 5*d - 9 - 61 = z, 2*d - 32 = -4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54510 = 421*c - 375*c. Is 37 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let x(p) = 69*p**2 + 0 + 0 - 70*p**2. Determine v(x(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:27 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 289*a + 379. What is f(-3)?\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5818156 divided by -2\nAnswer: -2909078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -83. Let n = -1942 + 1949.945. Let m = l + n. Round m to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 less than 15672\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2 + 527*k - 1050 = 0.\nAnswer: 2, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/11, -5, 2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/82 - 791654\/(-195529).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152.713014 + 148.2.\nAnswer: -4.513014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 7 - 15. Suppose 4*s - 132 = -y*f, 3*s + 159 = 4*f - 2*s. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) - 0\/1. Which is the nearest to g? (a) 5 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -17. Suppose -90 = -b*i + 2*i. Let u(a) = 12*a + 89. What is the remainder when u(-3) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2 + 40. Let y(k) = 0*k**2 - 6*k**2 + 0*k**2. Give s(y(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*p**2 + 34*p - 29*p - 48 + 48)*(-4 + 14 + 32).\nAnswer: 2394*p**2 + 210*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158544 and 898416.\nAnswer: 2695248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5948 - -0.3948. What is the biggest value in 5, 3, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.4 - 61. Let y = -0.42 - 0.18. Let p = o + y. Put p, -1, 37 in descending order.\nAnswer: 37, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111243678 + 0?\nAnswer: -111243678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2001 by -12400.\nAnswer: -2001\/12400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 10) to base 6.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*f + 10*s, 0 = -18*f - 21*f + 44*f + 5*s + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/7 - 37571076*n\/7 - 176448218974722\/7 = 0.\nAnswer: -9392769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 4*q. Let h be i(-3). Suppose o = 5*p + 417, -2*p - h*o - 82 = 95. Let t = 165\/2 + p. What is the smallest value in 0, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 26. Let l be j(4). Let s be (1 + (-7)\/l)*4\/6. Calculate the remainder when 14\/s*3*(-2)\/(-4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574\/33 greater than or equal to 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -5 (c) -54.6 (d) 1.3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 52*c**2 + 333*c - 36. Let f be s(-12). Let q(o) = o**2 - 6*o + 3. Let b be q(2). What is the closest to 0.1 in f, 1, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 20384.\nAnswer: 20384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/6 - 29*p. Let q(m) = -44*m. Give v(q(d)).\nAnswer: -3872*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-107344)\/(-10)*1025\/820?\nAnswer: 2, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5, 3, -6310 in ascending order.\nAnswer: -6310, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77940 + 77938 + o**2 + 77908 - 233786.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1176 by 14874.\nAnswer: 196\/2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2472436 by -19939.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -15.6. Let n = -15.1 - d. Let s(o) = o**3 + 6*o**2 + 5*o - 1. Let b be s(-5). What is the closest to -0.2 in -4, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*s = 428*s - 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*p - 2105, 5*s = 5*p - 1369 - 706. Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604876 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -20, -12, 1 in increasing order.\nAnswer: -20, -12, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -49*i - 13. Let g be y(-7). Suppose 0 = -4*c + z + z + 430, -3*c - z = -g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = -5. Suppose 0 = -22*t - 36*t - 10*t + 340. Factor 63*f - 8 + 2*f**w - 93*f - 67 - t*f**2.\nAnswer: -3*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/((-25)\/(200\/16)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 5*w + 5. Is 7 a factor of u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27850 + 167125\/6. What is the third biggest value in -3, -0.4, -24, 2, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331318612 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/(11\/(-22)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - (-1 + (9 - 13 - -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 12. Let l = -0.04 + -0.06. Sort l, i, 2\/9 in decreasing order.\nAnswer: 2\/9, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let a(x) = 853*x. Give a(q(r)).\nAnswer: -853*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -o - 22*k - 13, -4*o = 5*k - 33. Suppose -40 = -4*m + 5*g, 2*g + 6 = -o*m - 2*g. Solve 5*a + 5 = 3*x - 5*x, -m*x - 2*a + 19 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2161610 (base 9) to base 12\nAnswer: -480909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - q = 3*q + 2, -4 = -2*y + q. Suppose 3*d - 95 = 4*p, -y*d - p = 2*p - 35. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y + 43*y - 288 = 0. Sort y, 24, 4, 2.\nAnswer: 2, y, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-21)*100\/1250. Factor -2\/15*u + 2\/15*u**3 - z*u**2 + 4\/15.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40523 is divided by 962.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124720 + 62409 + 62311 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188883761?\nAnswer: 3, 13, 431, 70729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 21*v**2 + 37*v + 28. Let u = -114 - -95. Let b be s(u). Let g = -17 + b. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 16*k**2 - 4*k + 18. Let c be x(16). Let p = c + 50. Solve b + 0*b = -p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10295 - -10301. What is the lowest common multiple of m and 1338?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-32)\/u)\/((u\/u**(-1\/19))\/u))**(5\/2))**(-4) assuming u is positive.\nAnswer: u**(6090\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-4 + 1) - 1. Suppose -3*d + 2*w = -26, 5*d - 36 - 6 = 3*w. Is q != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*l**4 + 28071100*l**3 - 1262840512776*l**2 + 3723512095440*l + 194270421600 = 0. What is l?\nAnswer: -2\/39, 3, 89970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*s - 33 = 0, -s = -3*j + 3*s - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 537*n**2 + 396?\nAnswer: 1074*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -104 and 1761.\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 - 8*r + 2. Let l be k(7). Let g = l - -101. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)*h)\/h*h)\/h**18*h\/(h*h*h**(-16))*h*h**(2\/5)*h assuming h is positive.\nAnswer: h**(19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 16 + 43 + 0*v.\nAnswer: v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.636 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 24 = -s - 3*f, 2*s - 17 = f. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*o + 60. Solve 8 = -w + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189.761 times -0.046\nAnswer: -8.729006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41786102 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-6)*((-42)\/(-28))\/(3\/2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1038 - 2262 = -11*w. Let q = 426 - w. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55+-26383\nAnswer: -26438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let n = -26 - -28. Let f(h) be the second derivative of 0 - n*h + 0*h**2 - 1\/3*h**3. Give f(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83822.9 decades?\nAnswer: 10058748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22004701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:03 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Suppose 43*v - 57*v = 14. Let f(g) = -2*g + 1. What is v*d(h) - f(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 a when four letters picked without replacement from {t: 1, m: 1, b: 3, a: 2, q: 3, x: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 + 4*n - 13. Let v be p(7). Let q = v - 259. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -8 (d) 6 (e) -2\/5 (f) -2 (g) -478\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443259.1 days to microseconds.\nAnswer: 38297586240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**2 + 9*s - 3. Let x(a) = -4*a**2 + 5*a - 2. Let y = -145 - -150. Calculate y*x(b) - 3*q(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 64197*t**2 - 128401*t**2 + 64203*t**2 - 2370*t**3 to the form s*t**2 + a*t + r*t**3 + h + x*t**4 and give r.\nAnswer: -2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 40*y + 39. Let l be q(-19). Which is bigger: 13\/6 or l?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/137? (a) 0.1 (b) 0.5 (c) -8008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6776272 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1888 and 997336?\nAnswer: 3989344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - q**2 + 0*q**2)*(-2*q**2 + 7*q**2 + 4*q**2) - 2*q**4 - 3*q**2 + 3*q**2.\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3675*p**4 - 1214010*p**3 - 100467783*p**2 - 34339140*p - 2940300 = 0.\nAnswer: -165, -6\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/15, 290, -2797 in decreasing order.\nAnswer: 290, 2\/3, 2\/15, -2797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1015*u. Let n(f) = 40*f. Let r(a) = 856*a. Let z(q) = 64*n(q) - 3*r(q). Determine z(w(v)).\nAnswer: -8120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 9*d - 8. Suppose 4*l + 54 - 66 = 0. List the prime factors of c(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 6183?\nAnswer: -6182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 590996165893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/12)\/5*(-1832)\/(-10076).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1563546, -3127091, -4690634, -6254175, -7817714?\n\"Answer: v**2 - 1563548*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101678 or -101671?\nAnswer: -101671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5. Let j = 6 + l. What is the second derivative of 2*b**5 - b**j - b + 4*b**5 - 4*b**5 wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1324, 0, -3286, 2.\nAnswer: -3286, 0, 2, 1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 1309?\nAnswer: 9163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9 - 39 = 0. Let c = 29 + v. Solve 0 = 3*g - c*s - 11, -4*g + 12 - 2 = -2*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 7:58 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(57)\/sqrt(27) - sqrt(19)) + sqrt(1216) + (sqrt(1216) - ((sqrt(1216) - (sqrt(1216) + sqrt(1216)*-2) - sqrt(1216)) + -3)))**2.\nAnswer: 68*sqrt(19) + 22045\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153789.\nAnswer: 7, 13, 31, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*m + 6, -3*m + 12 = -0*s - 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5. Let i(f) = 2*f - 242. Let x(z) = i(z) - 5*r(z). Let g(t) = -2*t**2. Determine x(g(o)).\nAnswer: -4*o**2 - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 505 = 3*j + y, -4*y - 660 = -4*j. Let c = j + -107. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 89373 - 250373 = 0. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55206186?\nAnswer: 2, 3, 7, 1314433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 162 - 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 10*o**2 + 11*o + 4. Let i be h(-9). Let w = i + 19. Solve 4 = -3*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4184.804383 minus -519?\nAnswer: -3665.804383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026004 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -3*i**5\/20 - 3*i**4\/2 - 7*i**2 - 4. What is the second derivative of b(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -7*p**5\/3 - 9592*p**4\/3 - 3258419*p**3\/3 + 18863566*p**2\/3 - 8055104*p - 2840064 = 0.\nAnswer: -688, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 23691\nAnswer: 5\/23691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = r, -2*r + r + 3 = 0. Suppose 8*d - 350 - 1234 = x. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 4*t = -14*h - 4*h + 25, 7*h + 4*t - 55 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19066305 is divided by 190?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2218, 2224, 2234, 2248?\nAnswer: 2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -2\/7, 1\/2, -0.05?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 86*l**2 + 84*l. Let f be p(42). Factor f + 0*q - 1\/4*q**3 + 0*q**2 + 1\/4*q**4.\nAnswer: q**3*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 7637?\nAnswer: -7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 5. Let t(w) = -w**2 - 1. Suppose 0*p - 12 = 3*p, -8 = 2*v + 2*p. Let h be 7 - v\/(-2) - 2. Let k(j) = -4*j**2 + 2*j - 7. Calculate h*t(b) + l*k(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 2*i + 0*i. Let k(l) = 5*l. Let z(o) = 26*o. Let f(t) = -11*k(t) + 2*z(t). What is f(s(w))?\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Suppose -8*c + h*c = -110. Suppose -2*x + 44 = 3*i, 2*i = 3*x - 4*x + c. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 12 = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/7 in 3\/2, -0.351, 2\/7, 2, -0.1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2818 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2011 or -540280?\nAnswer: -540280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*z + 469 with respect to z.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*v + 910*v + 597*v + 747*v - 4373*v + 763*v.\nAnswer: -896*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66 + 1)\/((-3)\/(-3)). Let f(v) = 120*v + 65. Suppose 5*d + 2*h = 49, 3*d + 2*h + 39 = 6*d. Let u(p) = -14 - 2 + 10 - d*p. Give o*u(b) - 6*f(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183 less than or equal to -2\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 9*m - 9. Is l(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b - 2*b + 18*b)*(0 + 0 - 2*b**3).\nAnswer: -60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 752, 5 in descending order.\nAnswer: 752, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2669, -5333, -7997?\nAnswer: -10661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -26. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (18 - 8 - 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*w**2 - 45*w**2 + 39*w**2)*(w - 4*w**2 - w) in the form h*w**3 + l*w**4 + m + s*w + k*w**2 and give l.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 + 4*r + 25. Let f be j(-5). Suppose 4*h + 5*x = 4*x + 3426, f*h - 4281 = -2*x. Is h a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843550 divided by 66350?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12 and -45\/284?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-18) + (-2)\/9. Find the common denominator of 3 + 122*3\/(-42) and 8\/12 - (-106)\/z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 divided by -157?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - x + 355 - 83 = 96, 0 = -4*z + x - 140 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -125547 - 44438563\nAnswer: -44564110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12)\/k)\/(k*k**(-11)*k*k)*(((k*k\/(k\/(k\/(k\/k**0))))\/k*k)\/k)**(-28) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 1337*a**3 - 386964*a**2\/5 - 191484*a - 580176\/5 = 0.\nAnswer: -316, -6\/5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 4:58 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -200, -4.8, 5?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 9*d - 9. Suppose 0 = -2*g + 8, -4*g + 0 = -4*f - 8. Suppose -6 = -f*s - 2*a, -2*s - 3*s + 55 = -5*a. What is o(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 162*s**3 + 254*s**3 + 2 + (0*s + s + 2*s)*(-3*s - 3*s + 5*s)*(-4*s - 4*s + 5*s) to h + n*s + o*s**2 + t*s**3 and give t.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**0)*(x*x**4*x)\/x)**(-1\/3) assuming x is positive.\nAnswer: x**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101393 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 12*g**2 + 7*g - 17. What is the units digit of k(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/13428 and -11\/3547230.\nAnswer: 21283380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885 and 872317065.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -230\/331567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, 4, 14, -1, 0, 2 in descending order.\nAnswer: 14, 4, 2, 0, -1, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 24 - 14. Let s be -322*(y - -5 - 2). Let z = -629\/2 - s. What is the common denominator of 125\/18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 13*z**3 - 2*z**2 + 1. Let u be a(1). Let f(b) = b**3 - 6*b**2 + 2. Let y be f(6). Let h = 9 + -4. Solve u = h*g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12*d + 1120 = 0. Let s(l) = d*l**2 - 5*l - 141*l**2 + 5*l. Let j(m) = -8*m**2 - 9*m. Let z(f) = -j(f) + 5*s(f). Factor z(c).\nAnswer: 3*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*o, -10*w + 3*o = -6*w + 32 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -0.2 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -c + 124, -57 - 64 = -c - 2*y. Let q = c + -29. Find the second derivative of 1 + 12*g - 2 + 2*g**3 + 82*g**2 - q*g**2 wrt g.\nAnswer: 12*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0430662 days?\nAnswer: 3720919.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 198960 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110141940, -110141936, -110141928, -110141916?\nAnswer: -110141900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*f*j**3 - 165947*f*j**2 + 4*f*j - 33*j**3 + 937378 wrt f?\nAnswer: -9*j**3 - 165947*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + sqrt(272) + 2)**2*2.\nAnswer: -4290 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7689 and 16221227.\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 x when four letters picked without replacement from {h: 3, x: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 - 260*x**2 + 2 + 271*x**2 + 28*x**3 + x**3 as g*x + h*x**2 + n*x**3 + r and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2059*u**6\/120 - 1481*u**3\/6 + 254*u**2 + 1. What is the derivative of n(z) wrt z?\nAnswer: 6177*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -884 + -1937.\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107065850 divided by -53532925.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*k - 31*k + 26*k + 326*k to the form t*k + q and give t.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/21*12*84\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16915, 16871, 16821, 16765?\nAnswer: 16703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 0, c + 0*z = -5*z - 42. Let t be (-3)\/(3\/2) - c. Suppose -54*n + 2536 + 1514 = 0. Calculate the highest common factor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 47*u - 122. Let q be p(4). Calculate the greatest common factor of 297 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-3*sqrt(8)*-1) - (-3 + -1*sqrt(847)).\nAnswer: 3 + 34*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403*b - 11*b**5 + 5*b**5 - 2*b**5 + 258*b**3 + b**2 - 237*b**3 wrt b.\nAnswer: -480*b**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 8 - -5 - (1 - -5)) + 17\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73022 and -0.04.\nAnswer: 2920.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260793.\nAnswer: 3, 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -0.4 in ascending order.\nAnswer: -2, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/1)\/((-26)\/(-91)). Is 26674\/30 - (-14)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -119*f**2 - 2*f**3 + 4*f**3 - 5*f**3 + 53*f**2 - 655 + 2683 - 195*f.\nAnswer: -3*(f - 4)*(f + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2058*x. Let r(i) = -159*i. Let p(j) = 2*c(j) - 27*r(j). Let f(q) = q**2. Calculate p(f(b)).\nAnswer: 177*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -84, -15, -2, -4 in increasing order.\nAnswer: -84, -19, -15, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 3*q - 90 + 21, 5*x = -q + 56. What is the least common multiple of 10603 and x?\nAnswer: 116633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -192, -213, -250, -303?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 9*h + 21. Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 543870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -3, -2\/5, 215?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2 - 10*d + 18. Let i be q(3). Sort 2, i, 0 in decreasing order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-52 - -56 - ((-1 - 2) + 9)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.7, 3\/2, -0.09, -1, 2 in ascending order.\nAnswer: -4.7, -1, -0.09, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 43*f**2 + 30*f + 621. Give o(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1273 and 616132?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/12 + 4\/(-24). Let s = x + 1. Let c be (3\/6)\/s*-6. Solve y - 16 = 4*w, y - c*w + 4 - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 7, -131, -395, -827, -1469, -2363, -3551?\nAnswer: -5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-57)\/(-152))\/(1 + 3\/(-12)). Let s(d) be the second derivative of -a*d**3 + 0*d**2 + 1\/2*d**4 + d + 0. Find the second derivative of s(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 11 - 12 - c**3 + 0*c**3. Give b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/((6\/(-5))\/(135\/50)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -63 + 18. Let c = 12 - v. Solve 2*m + 4*k - 8 = k, 0 = -c*k + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*s**3 - 29*s**3 - 42*s**3 + 82*s**3.\nAnswer: 110*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5537 - 5345 = 12*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1540 - 9*j + 1540.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*q - 10 = 0, 197 = 5*u - 5*q + 227 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267575909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y = 151*y + 2*r + 6, 2*y - 4*r + 36 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44509801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(96\/((-83520)\/(-1102))).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/88)\/((-18)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p + 177. Let d be 3\/(-2) - (-212)\/16*2. Let t be r(d). Let 1\/3*w - 1\/3*w**3 + 0*w**t + 0 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a = -16. Let z be (-26)\/(-8) + (5 - 34\/a). Solve j - z*i + 16 = 0, 0 = 5*j - 0*i + i - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkg. What is prob of picking 1 g and 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let k(q) = 3*q**2 + 2. Let n(j) be the third derivative of j**5\/30 + j**3\/2 + 4*j**2. Let m(x) = 3*k(x) - 2*n(x). Calculate u(m(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14775993 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/4)\/((n*n**7*n*n)\/n*n))\/(n**(-1\/2))**(-3\/8))**26)**(11\/4) assuming n is positive.\nAnswer: n**(-23881\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 11. Let j(v) = -v**3 - 4*v**2 + 4*v - 2. Let u be j(p). Let g be 6\/u - (-11)\/24. What is the third smallest value in g, 2\/23, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + -0.4. Let o = 222 + -235. What is the biggest value in 0, o, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*i + 917 = 3377. Let x(a) = a**3 - 12*a**2 + 21*a - 10. Calculate x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysdyddybydbydydyyd. Give prob of picking 2 d, 1 s, and 1 b.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(12 + 0))\/(-5). Let w(n) be the second derivative of -1\/3*n**3 - 3\/50*n**5 - x*n**2 + 0 - 7\/30*n**4 - 8*n. Factor w(z).\nAnswer: -2*(z + 1)**2*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*w**3 - 57*h**2*w - 2*h*w - 11*h - 3764*w**3 wrt h.\nAnswer: 2*h*w**3 - 114*h*w - 2*w - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -29*s**3 - 13*s**2 - 13*s + 13. Let p(d) = 5*d**3 + 2*d**2 + 2*d - 2. Determine -6*a(q) - 39*p(q).\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, g: 3, u: 4, c: 2}. Give prob of picking 2 u and 2 c.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*m - 4*m + 25930, 0 = 3*j - 5*m - 38897. What are the prime factors of j?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/4 - 1545*h**4 + 728547*h**3 + 141089133*h**2\/2 - 2914191*h\/4 - 141086043\/2 = 0.\nAnswer: -82, -1, 1, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -0.586\nAnswer: 15.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134 and -15.55?\nAnswer: -2083.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/2 - 53*r**3\/2 - 633*r**2\/2 + 8981*r\/2 - 4148 = 0.\nAnswer: -17, 1, 8, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03339 + 31.71661. Round k to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 times -0.2?\nAnswer: 248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3 - 666*q**2 - 9873*q - 9204 = 0.\nAnswer: -13, -1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -94 - 8*k + 44 - k**3 + 43 - 7*k**2 + 0*k**2. Determine m(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 2*l - 5*l + l as f + z*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9766426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7346 is divided by 7299.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 2, -26969\/4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5440)\/(-1530))\/(8\/6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*h + 112 = 0, 3*t + h = -98 + 15. Let b = 41 + t. Suppose -2*y = n + 2*n - 12, -2*y + b = 4*n. What is the greatest common factor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439*a - 439*a + 8*a**2 to y*a**2 + s + q*a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/29738 and -61\/89214.\nAnswer: 89214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 2. Let b be w(0). Let t be (-1 + (-2)\/(-1))\/(-4). What is the closest to b in -1\/7, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*n - 1859*n - 1590*n.\nAnswer: -3125*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 73 - 68 - (10 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, -3, 3\/13, 0.08 in increasing order.\nAnswer: -3, -0.1, 0.08, 0.1, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*g**3 - 422*g**3 + 489*g**3.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/(-6)*1). Solve 3*s = s - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1 (c) -7209 (d) 29 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*p + 50, 0 = -5*m - 5*p + 77 + 133. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (-2*sqrt(1300) - (sqrt(208) - (sqrt(208) + -1*sqrt(208)))\/sqrt(4))\/(sqrt(32)\/(sqrt(32)\/sqrt(4)*-3)))**2.\nAnswer: -66*sqrt(13) + 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 3*g)*(-4 + 3 - 1) - 287 - 19*g + 287)*(-6*g**4 - 3*g**4 + 0*g**4) + (3*g**2 + 2*g**4 - 3*g**2)*(3*g + 0*g - g).\nAnswer: 229*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4 + 438*s**3 - 201164*s**2 - 606528*s - 404928 = 0.\nAnswer: -444, -2, -1, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 25?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -9, -2 in increasing order.\nAnswer: -9, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7270643 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10166\/(-78))\/(828\/(-216))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, h: 9, g: 2, t: 3}. What is prob of picking 1 h and 2 x?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**5 - 18362*o**2 + 269191*o wrt o?\nAnswer: -40*o**3 - 36724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1552, -6195, -13932, -24763?\nAnswer: -38688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.301 times 2\nAnswer: 0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1300, -2657, -4014, -5371, -6728?\nAnswer: -8085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v. Let p(c) be the first derivative of -c**2 + 23. Determine t(p(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 + 4*h - 2. Let j be w(-5). What is the second derivative of -11*a**4 - 11*a**4 - 13*a**4 + 24*a**4 + j*a wrt a?\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 5*s - 7. Let f be (-2*2)\/((-12)\/18). Let t be x(f). Which is smaller: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 + 3*l - 1. Let z be v(-3). Let q be z*(4 - 21\/6). Solve 4*g - 3*g = -q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976733.0261373 plus 13?\nAnswer: -976720.0261373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 5, l: 4, e: 1}. Give prob of sequence ml.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + w + 2 = -w, -2*w = -c + 12. Suppose -3*q - 5*s = 11, -q + 3 = -c*s - 8. Suppose -q*x + 2*x + 49 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1915.478257 rounded to 1 decimal place?\nAnswer: -1915.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 134, 1293, 4442, 10577, 20694?\n\"Answer: 166*u**3 - u**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 times 14.2?\nAnswer: 28286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**2*l*u + 124*b**2 - 2*b*u**2 - 33*l*u**2 wrt l?\nAnswer: -7*b**2*u - 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 10105*f**2 + 25522703*f - 25532809.\nAnswer: (f - 1)*(f + 5053)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 + 442*v**3 + 2*v**2 - 25*v**2.\nAnswer: 442*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -246\/23 in 5, 2, -2\/5, 4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -77*z - 222. Calculate the remainder when 872 is divided by x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/1260 + 13*y**5\/630 - 17*y**4\/126 - 16*y**3\/21 + 3*y**2 + 2*y + 60. Factor g(v).\nAnswer: -2*(v - 8)*(v - 6)*(v + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 5*w - 64 = 0, 0 = -3*g + 5*w - 86. Let b be (-403480014)\/(-77) - (-4)\/g. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 1.2.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose -n - f = 2, 0 = 2*n - 3*n - 4*f - 14. Suppose n*b + 2 = -0*b. Sort b, 4, w.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -9\/20*y**4 + 1\/10*y**6 + 6\/5*y**2 + 0*y - 4\/5*y**3 + 6\/25*y**5 + 12. Let x(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 336 - 335.96. Let n be ((-42)\/(-9))\/((-4)\/(-6)). Which is the nearest to -1? (a) n (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 f when four letters picked without replacement from uuvuvvuvfuvufufu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -90. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w - 20. Determine b(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*2\/189 + (-384)\/1728?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 4. Determine v(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2)**(-29)\/(y**(-2\/5)*y*y**(-3)\/y) assuming y is positive.\nAnswer: y**(-418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-16) + (-2)\/(-8). Let t(y) = 4*y - 2. Let k be t(1). Solve -k*j + 3 - m = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 7, c: 1}. What is prob of sequence pp?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/21*63\/18. Is 164\/(-5)*(-16 - h) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 532478, 2129784, 4791960, 8519006?\n\"Answer: 532435*k**2 + k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94527 and 60102.\nAnswer: 70139034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -291692, -291692, -291690, -291686?\n\"Answer: f**2 - 3*f - 291690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/14065?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 times -2.1?\nAnswer: -291.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -126. Which is the closest to -2? (a) y (b) -4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -42, 1, -55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 0, 3*q - 5*o = 5*q - 29. Let b be q\/(1\/(27\/6)). Does 18 divide 4*b + 0\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111761569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -961, -633, -305, 23, 351?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 2)*2)\/(23 - 37)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.27 + 46. Let x = s + 1.27. Which is the smallest value? (a) x (b) 4 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 11. Let w = 26 + z. What is the remainder when 83 is divided by w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 11732489?\nAnswer: -28\/11732489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 13*q + 5. Let t be o(11). Which is smaller: t or -16?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g - 8*g**2)*((2 - 1 + 2)*(-2 + 2 + g) - 3 + 3 - 2*g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4780*f - 8790 + 5910 - 10087 = 10933 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**3 + 50 + 5*f**3 + 13 + 12 - 75.\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007247 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 11:52 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + (-31006)\/35196.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n*n**(-5)*n*(n**(-2\/25))**(-16) assuming n is positive.\nAnswer: n**(-376\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 18. Suppose 5*r = -2*q + 90, 4*r - 65 = -0*r - 3*q. Suppose 3*s - r = 28. What is the remainder when s is divided by h(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -15*m + 27. Let j(i) = 2*i**2 - 33*i + 6. Let g(n) = 2*n**3 - 27*n**2 - 15*n + 30. Let v be g(14). Let c be j(v). What is the units digit of p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003013667 to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -53 + 52. Let v(g) = 9*g - 5. Let k be v(j). Suppose 2*p = 5*p - 3*f - 252, -k*f + 104 = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 8470503600942?\nAnswer: 8470503600941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 - 5*h**2 - h**5 + (115 - 6 - 53)*(-4 + 4 - 2*h**5).\nAnswer: -113*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 4*g + 20, g - 1 = -k. Let c(a) = a - k*a - 3*a + 6*a + 7 + a**2. Let j be (-6 + 6)*1\/(-2). Calculate c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (sqrt(117) - -2*sqrt(117))*3 + sqrt(117) + sqrt(117) + -4*sqrt(117)*-1))**2.\nAnswer: 2430*sqrt(13) + 237006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 j when three letters picked without replacement from kkrklrjchkljkrllrjk.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48588986*y**3 - 2350*y + 12828.\nAnswer: -291533916*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3) - -1)*-2. Let r = 6 - 5.6. Which is the nearest to s? (a) -1\/5 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -7 - (-5 - 2). Suppose -4*m + 6 = 5*d, -l*m - 4*d = -3*m - 5. Which is smaller: m or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1998)\/1110)\/(3\/(-1600)). What is the highest common divisor of u and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250599*z**4 - 210*z**2 - 261628*z + 124?\nAnswer: 3007188*z**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 0.5, 457.93, -0.5, 1\/3, 52?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514 is divided by 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1689 is divided by 556.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 4 (b) -4 (c) -2\/43 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019800456837 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2. Let v(d) be the first derivative of 4*d**3\/3 + 307. Let m = -2 - -6. Give m*c(l) - 10*v(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 16, -h - 10 = -4*c + c. Let y(z) = z + 9*z + c + 0*z - 13*z. Let m(a) = 1. Let u(p) = -4*m(p) + y(p). What is the first derivative of u(d) wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -10) + -8 - (39 - 20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12586905 and 3.\nAnswer: 12586905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 56514 = -3*i, -14*g = -5*i - 12*g + 94197. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40496 is divided by 596.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8135, 8139, 8145, 8153, 8163, 8175?\n\"Answer: b**2 + b + 8133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643 - 412 = -389*p - 547 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044628?\nAnswer: 2, 13, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7970*y + 0 - 2.\nAnswer: 7970*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e41 (base 15) to base 8.\nAnswer: -6213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 167, -78, -487, -1060?\n\"Answer: -82*p**2 + p + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 215215523?\nAnswer: -215215530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 68. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (215 - 215 + 10*v)*(2 - 1 + 1 + (9 + 0 - 3)*(4 - 1 - 1) + 0 + 4 - 2) as p*v + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 12*d**2 - d - 12. Suppose -t = 2*b - 1 + 17, 4*t + b = -50. Let g be h(t). Suppose -9 = -3*m + 3. Solve g = 2*s - m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/(-34)*(4508\/(-910) + 5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 1\/(-8). What is the second biggest value in 0, 2\/17, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 42873228*y - 153176139928332.\nAnswer: -3*(y - 7145538)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**3 - a**2 - 5*a + 5. Suppose 0 = -5*y - 5*l - 20, -3*l = -0*l + 3. Does 25 divide m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3584.5 + 3584. Which is the closest to -3? (a) -2 (b) -5\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095990756 divided by 365330252?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (-3 - (-162)\/12). Put c, 3, 0, -8\/9 in descending order.\nAnswer: 3, 0, c, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23491.43ns in microseconds?\nAnswer: 23.49143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4025 and -37\/5131?\nAnswer: 2950325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86450 and 26600.\nAnswer: 345800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 156208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614373116 to the nearest integer?\nAnswer: 24787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4 plus -274?\nAnswer: -255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137554694 a multiple of 2661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c**5 + 0*c - 5*c**5 + 2*c**5 + 4*c**5 + (25*c - 25*c + 16*c**3)*(5*c**2 - 2*c**2 + 3*c**2).\nAnswer: 98*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 33, 34, 35, 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p + 2. Let n(v) = 13*v**3 + 2*v**2 + 2*v. Give 2*d(q) + n(q).\nAnswer: 13*q**3 + 4*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Let i(f) = -f**3 + f + 2. Let r be i(o). What is the third derivative of -3*t**r - 3*t**2 - t**2 + 3*t**2 - 6*t**3 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*b = -148 + 58, 4*b = 20. Let y = 22 + c. Solve 0*x = -y*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*j - 120 + 145 = 0, 5*v - 77 = j. Find c, given that 24 - 21\/2*c**2 - 3\/2*c**3 - v*c = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let i be (2 + c)\/(-1)*0. Is i greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*v. Let a(d) = 135*d - 5. Let t be a(v). Suppose -3*o = p - t, 4*o - 5*p - 186 = -0*o. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2 + 24*v**2 + 8 + 15*v**2 - 11*v**2 + 6*v. What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 6*z**2 - 14*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = y - 6, 3*r + 2*y = -5 + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475 - 453. Let u(c) = -8*c + 185. Let v be u(h). Solve 0 = 3*g - 5*z - 28, g - 35 = 5*z - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1094 and 1.41.\nAnswer: 1542.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 1.02, -1\/5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 26*q. Let i be z(1). Let v = i - 15. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/570 and -157\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 7:26 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-18)\/(-21) - 1). Is w at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144239571 and 2674.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -3?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/2)\/(6\/(-2)))\/(45\/(-27))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6749 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 1758847944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -5*p**4\/12 + 10*p**3 + 109*p + 2. Determine x so that i(x) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 73*m - 5752. Let b be a(79). Solve -b*j - 14*j = 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/210 + n**4\/28 - 10*n**3\/21 - 5*n**2 + 5. Solve f(w) = 0 for w.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*a + 4*j, -4*j - j = -3*a + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.68096ml in litres?\nAnswer: 0.09068096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 42 = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3332723 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042 less than -0.2?\nAnswer: 2041.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2440 - 2438. Solve k*u + 4*o = -u - 11, -19 = 3*u - 4*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.32 minus -17433?\nAnswer: 17437.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 8. Let z be q(6). Solve 3*l + 3*m = -6, 4*l - z*m - 2*m = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4.2, 0.3, -0.1, -3, 6\/7, 635?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847920599?\nAnswer: 23, 36866113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 10, n: 1}. Give prob of picking 2 l and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + 0 + (0 - -2). Let m = -7 + b. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/121? (a) 0.486 (b) 0.036 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2209 - 2213. Put s, 24, -2 in descending order.\nAnswer: 24, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37421185051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 0*b + 2*b = 0. Suppose b = -4*w + 3*w - 4*f + 25, 4*w = -4*f + 40. Suppose -w*d = d - 2190. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:41 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p - 37*p + 9*p in the form l + m*p and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5390, -5386, -5382, -5378, -5374?\n\"Answer: 4*n - 5394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 539 - 2*j + 540. What is a(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002219185 rounded to 6 dps?\nAnswer: -0.002219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 24d89?\nAnswer: -24d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 16. Let r = k + -5. Solve x + 7*o - r*o - 25 = 0, -x = 2*o - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-288)\/((-216)\/18) + -8*1. Solve -28 + 12 = -h*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(132) + (sqrt(132) - (sqrt(132) + sqrt(132)*-6))))\/((sqrt(12) - sqrt(12)*6*-5) + sqrt(12)).\nAnswer: 7*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -45*i**3 + i**5 + 3 + 3*i + 45*i**3. Find the first derivative of f(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1293.302 + 1295. Let i = -0.302 - w. Is i <= -4\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74858*1 - ((-504)\/(-7))\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 41*n - 560. Let t(f) = 26*f**2 + n*f**2 + 27*f**2 - 75*f**2. Let h(p) = 2*p**2 - 126*p. Give h(t(o)).\nAnswer: 8*o**4 + 252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 3\/7, 0.01998, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -353 - -3?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**3 + 0*y**4 + 0 + 1\/270*y**5 + 0*y + 14*y**2. Solve b(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 9*w**2 + 11*w + 1. Let y be a(-10). Let t be 8\/60*5 + (-30)\/y. Calculate the smallest common multiple of 2\/4 + (-2)\/(t\/(-35)) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46971 and 123512854?\nAnswer: 5219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-12) - 9\/2. Let z = g - -15. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -74*k + 341. Let y be t(6). What is y rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 130*g + 135*g - 5, -4*y = 3*g - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 105 = -5. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 19*k + 7. What is the second derivative of 79*x - 24*x + 4*x**4 - 26*x**3 + 2*x**k - 7*x**4 wrt x?\nAnswer: -12*x**2 - 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(-11) - (-29 - 7 - -32)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/8 (b) -0.2 (c) 2 (d) -1 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from natkq. What is prob of sequence ka?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206205 >= 15680646\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 at most as big as 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/363 and 145\/198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22011\/5 + 1520089\/345. Let g be -1 - (2 - 140\/92). Let i = a - g. Which is greater: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8)*(3 - 7). Which is the nearest to 1\/3? (a) n (b) 0 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + (-605)\/5)\/(-1). Suppose -3*q - c = 6*q. Let t = -2.03 + 0.03. What is the second smallest value in q, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 26 = 4*w. Suppose -o - 680 = -554. Let i be 14\/(-3)*o\/w. Calculate the greatest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.9 + 45.9. Let s = l + -31. Let q = -54.6 + 55. Put q, 4, s in increasing order.\nAnswer: q, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 93*t**3 + 3*t**2\/2 + t - 176. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1517521551.9999909 - 1517521378. Let i = 171.79 - -2.21. Let t = i - o. What is t rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 10*z**4\/11 - 46*z**3\/11 - 80*z**2\/11 - 24*z\/11 = 0.\nAnswer: -1, -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(176) + (sqrt(176) + (sqrt(176) + -1 + sqrt(176) - sqrt(176)) - sqrt(176) - sqrt(176)) + 1)**2.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 21, 18, 15, 12?\n\"Answer: -3*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158\/323 + -22069\/9690. Let s = -2511671\/11592 + 13640\/63. Let g = -112\/69 - s. Calculate the common denominator of g and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -51\/4 (b) 11 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -5*l - 5*y + 100, 4*y = l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 10.1. Let t = 7486.9002 - 7488. Let r = o + t. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose -4*y = n*m + 21899996, -4*m - 4*y - 29199999 = -3*y. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 478051 - 478135.8868. Let k = -0.1868 - v. Let u = k - 95. Round u to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 + 64*i - 12. Let n be b(-14). Calculate the greatest common divisor of n and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854265 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -274*b - 64. Let c(q) = -55*q - 12. Give 11*c(t) - 2*g(t).\nAnswer: -57*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/2 (b) -2\/5 (c) 9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-41652390\nAnswer: 12495717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-8 + 8 - 12*v) in the form h + d*v and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -68484\/5 = -13697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 3*i + f*i = 48. Suppose -6*a = -i*a + 74. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -813, -760, -667, -528, -337?\n\"Answer: a**3 + 14*a**2 + 4*a - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1539\/783 + -2)*-2.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31880 is divided by 329?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let h(b) = -153*b. Give h(f(q)).\nAnswer: 153*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -12. List the prime factors of l\/5*(-55)\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-24)*240\/(-135)*(-15)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + (sqrt(891) + 2)*4 + sqrt(891) - 1*(2 + sqrt(891))) + 4)**2.\nAnswer: 900*sqrt(11) + 22375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-4) - ((-20)\/16)\/(-5). Suppose 5*p + n - 90 = -x*n, -3*n + 28 = p. Calculate the highest common divisor of p and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16872 - -16939. What is the fourth biggest value in s, -1\/6, 1, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - 13*1\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0728 times -10.1\nAnswer: -0.73528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1) + 3 + 3. Let y be (-3)\/c - 58\/(-3). Suppose -3*v + y + 20 = 0. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5 + 12*t**3 - 3*t**4 - 20*t**3 + 11*t**3 + 3*t**2.\nAnswer: -3*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 5*l - 9. Let x be r(-7). What are the prime factors of (x\/(-30))\/(6\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 529948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974.7 plus 1?\nAnswer: -2973.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 187 = 4*q. Let i(m) = -m - 3 + m**3 - 2*m + 6*m. Let r be i(2). Calculate the highest common divisor of r and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1276, -5172, -11666, -20758, -32448, -46736?\n\"Answer: -1299*u**2 + u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*p**2*s**2*w**3 - 3*p**2*s - 2*p**2*w**3 - p**2*w**2 - p*s**2*w - 3*s - 25*w**3 + 7*w wrt w?\nAnswer: -348*p**2*s**2 - 12*p**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 - 13*u**2 - 6*u - 1. Let l(h) = -13*h**3 - 52*h**2 - 23*h - 3. Let v(n) = 2*l(n) - 9*s(n). Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -16*a - 11 - 1\/3*a**3 + 4*a**2. Find h, given that n(h) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o - 2. Suppose 5*z = 6*z - 14. Suppose -4*u + 3*u + z = 0. Calculate the least common multiple of u and f(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203 (base 4) to base 10.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = j + 36, -116*j + 120*j - v + 108 = 0 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 664 or 1329\/2?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 3, q: 4}. Give prob of sequence jjjq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 2. Let i be 2*1 + 12\/(-2). Let q be x(i). What is the common denominator of 0 + (-195)\/q + -2 and 77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f. Solve f = -2*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence net when three letters picked without replacement from nttetspttptnteppntn.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-330)\/9 - (7 + -7). Let i = -76 + 113. Let s = i + h. Which is the nearest to 1? (a) -5 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312062209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-4)\/(-3))*3. Solve 0 = -2*z + 3*z - y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442244.53 + 6\nAnswer: -442238.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 8 + 23*k**2 - 3 as j + c*k + n*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 2, n: 1, r: 1, y: 2, d: 1}. What is prob of sequence ury?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/((v*(v\/(v*(v\/(v**8*v))\/v))\/v*v)\/v))**9 assuming v is positive.\nAnswer: v**(-351\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/7 or -0.023?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 - 13\/((-78)\/(-36)) - (-152)\/(-19) is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 517, 359, 203, 49?\n\"Answer: d**2 - 161*d + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 520722519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*q. Suppose -18 + 13 + 4*n**q + 41 - 24*n = 0. Calculate n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.72993 kilometers to millimeters.\nAnswer: 57729930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1467 + 7.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880 + 1673 - 860 + 28*n.\nAnswer: 28*n - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010 + -101110?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044234 rounded to 6 decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 7040.05\nAnswer: -2112.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61 - (-4 + 1 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*p, 224*s = -4*p + 227*s + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 273*f + 15. Let s = 5736 - 5738. Let c(d) = -39*d - 2. Calculate s*w(m) - 15*c(m).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -6*(sqrt(190) - 2*(sqrt(190) + (sqrt(190) - sqrt(190)*-5) - sqrt(190)))\/sqrt(10)))**2*1.\nAnswer: 744876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 3, l: 2, c: 1, r: 1, n: 1}. What is prob of sequence nssl?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/28)\/(((-945)\/840)\/((-91)\/(-4))).\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 844757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -80, -191, -350, -563?\n\"Answer: -k**3 - 15*k**2 - 17*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, n: 1, k: 1}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*(-12 - 5 - (-4697)\/275).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -794*d**4 - 4 - 17418*d**2 - 242*d**4 + 17573*d**2 wrt d?\nAnswer: -24864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*x - 1188 = 333 + 297. Let p(f) = -f**2 - 5*f - 1. Let v be p(-4). Let o(r) = -3*r**3 - 9 + 10*r - 7*r**2 + r**3 + v*r**3. Give o(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 3) + -9 + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*c + 5*t, -3*c + 7*c + 2*t = -14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 388813?\nAnswer: 21\/388813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211002 (base 3) to base 8.\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/31, 3, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.3 - -22. Let d = -28.3 - -30. Let l = d - v. What is the closest to 2 in l, -1\/7, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14181.03461 rounded to the nearest 10?\nAnswer: 14180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -21*q**3 - 16*q**2 + 36*q - 4. Let u(s) = -32*s**3 - 26*s**2 + 55*s - 6. Calculate -8*a(i) + 5*u(i).\nAnswer: 8*i**3 - 2*i**2 - 13*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = 4*l + 11, y + 15 = -5*l. Suppose -3*b + 11 + 4 = y. Suppose -2*i = 1 - b. Solve 3*a + 20 = -i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (-6 - (-9 - -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23345343.\nAnswer: 3, 7, 370561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - d**2. Suppose 3 = 3*c - 0. Let p be f(c). Is -22*(p + 9\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 + -312. Let s be k\/(-14)*(-1)\/(-36). Let z = -3\/8 + s. What is the biggest value in 1, z, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61, 5, -4, 3, -8773 in increasing order.\nAnswer: -8773, -4, 3, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/313 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50123 is divided by 8339.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*c - 1 = 0, -h + 25 + 7 = -4*c. Let v = 11 - h. Which is bigger: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -18*n**2. Let f(q) = -36*q**2. Let c = -607 - -611. Give c*f(a) - 9*s(a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)**(-5\/7)*(p*p**(-1))**(-2\/33) assuming p is positive.\nAnswer: p**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/11 - 6322*a\/11 - 50640\/11.\nAnswer: (a - 6330)*(a + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + (8 - (21 - 22)) - -31.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 680 by 170.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 36 = -84 + 30. Solve o*t - 2*y = 4*t + 4, -5*y - 16 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:17 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*5 - sqrt(77))\/(sqrt(175)*-3))**2.\nAnswer: 1331\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 2, f: 8, u: 2, i: 5}. What is prob of sequence fia?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 6, c: 2, l: 3, e: 4, u: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.066 (b) -6 (c) -0.5 (d) -4 (e) -8\/83 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59415301 and 73455.\nAnswer: 891229515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(80) + 5 + (sqrt(80) - (-1 + sqrt(80))) + 3)*4*3)**2.\nAnswer: 10368*sqrt(5) + 23185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1*(-21)\/(-28)*(-3 - -17135)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 569033 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1060972\/111 or -9559?\nAnswer: -1060972\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 75, 65, 41, -3?\n\"Answer: -d**3 + 2*d**2 - d + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, 29\/3, -1\/3, -253, 0, 3 in decreasing order.\nAnswer: 29\/3, 3, 0.031, 0, -1\/3, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) + sqrt(4050) + -3 + sqrt(4050) - sqrt(16)\/((sqrt(80) - (sqrt(80) + (-1*sqrt(80) - sqrt(80))))\/sqrt(10)))**2.\nAnswer: -807*sqrt(2) + 72379\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-28) + 5 + -4)*(-60)\/30.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = -2*b - 42, -5*b + 63 = 4*v. Let x = -15 + v. Let h be -6 + x - (-2 + -2). Solve -4*z - z - 5 = h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5223*m + 2330*m + 2634*m - 34706 for m.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -13, -22, -33?\n\"Answer: -i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443540 - -11?\nAnswer: -443525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 230, 117, -674, -2479, -5634, -10475, -17338?\n\"Answer: -56*n**3 - 3*n**2 + 288*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-10))\/(3 - 19208\/6405)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 2, a: 1, j: 2, p: 1, k: 1}. Give prob of sequence ajqk.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199 + (-3 - (-4)\/(-4))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/(1794\/104*(-2)\/(-6)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((18\/3)\/6)*3\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 3996?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000221022 - 101?\nAnswer: 110000220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2077869 - 0.05.\nAnswer: -2077869.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*n = -234*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2.9.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39681 is divided by 1353.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/9*(23 - 703\/38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 + 42bb0?\nAnswer: 42b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 21*j**2 + 248*j**2 + 5*j - 36*j**2 to the form s*j**2 + w + f*j and give s.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/9326?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-261)\/(-3045))\/((-2)\/14*2).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxxiffi. What is prob of picking 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u. Let i(d) = 24*d**2 - 20*d. What is -2*i(q) + 40*r(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -4, 4, -3, 12, -12 in increasing order.\nAnswer: -127, -12, -4, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 11. Let o be j(6). Let a = o + 69. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*u = -17, -4*b = -0*u + 3*u - 34. Calculate the remainder when 3\/(3\/13) + 10\/(-10) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196594474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-48)\/28 + (-24)\/(-14). Let j be 220\/8*w\/5. Find the third derivative of 6*h**5 + 2*h**5 - h**5 + j*h**5 - 29*h**2 wrt h.\nAnswer: 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 3*x - 4. Let h be r(4). Let a be 0 - (h + 2 - -3). Find the second derivative of -a*l**3 - 4*l - 57*l**2 + 57*l**2 wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*u + 62*u - 26*u)*(-1 - 3*u**3 + 5 - 2).\nAnswer: -177*u**4 + 118*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 + 472 = 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.506304 times 0.3?\nAnswer: -5.8518912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(364\/502) + (-231)\/(-1617). Let w be ((-4)\/10)\/((-7)\/(-5)). Is g greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*c - 72*c + 41*c)*(5 - 3 - 1 + 1 - 1 - 2 + (-1 - 3 + 3)*(-3 + 1 + 0) - 3 + 1 + 1 + 62 - 5 - 8) as i + y*c and give y.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-3) - (-67 - -55). Solve -37 = a*r - 5 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.917 less than 2.62716?\nAnswer: -2.28984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 32*x**2 - 61*x + 6. Let f be z(-14). Solve -75*g + f*g = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -58. Suppose -22 = -0*b - b + 2*w, -4*w = b - 22. Suppose n - 9 = 3*s, 5*s + 0*s - 4*n = -b. Which is bigger: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (366\/(-2379))\/(1\/((-2)\/(-2))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 80, 3, -3, 1 in increasing order.\nAnswer: -11, -3, 1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000201 (base 3) in base 6?\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**2 + 21*c + 2*c**2 + 9 + 0 + 3*c**3.\nAnswer: 3*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 34755, 4 in increasing order.\nAnswer: -4, 4, 6, 34755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k = 81*k - 200. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*v + v - 22, 4*f + 2 = 2*v. Suppose -f*o - 32 = 4*w - 86, 2*w - 8 = 0. Solve -3*s + h = s - 10, -3*s + o = 5*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318126 is divided by 63059.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -18 + 14 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -870 by 3.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*d**3 + 150*d**2 + 561*d + 324.\nAnswer: -3*(d + 1)**2*(29*d - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27983*o - 27888*o = 1615 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8514*z - 156 = 8502*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 854956 (base 15) to base 3\nAnswer: 102221021222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 645249, 1290534, 1935817, 2581098?\n\"Answer: -q**2 + 645288*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ereyyzu. Give prob of picking 1 e and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 15016369.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n - 1)*(-1 - 2 - 16)*(0 + 4 - 1 + (1 - 1 - 2)*(-2 + 9 + 2))*(-2 - 2 + 3).\nAnswer: -285*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -137911*z**3 + 137910*z**3 - 83*z**4 - 157*z**4 + 88*z**4 + 8 as o*z**2 + v*z + a*z**4 + b*z**3 + u and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let y(m) = 5*m - 15. Let i(q) = 9*v(q) - 2*y(q). Let w be i(-8). What is the second derivative of 3*o - 2*o + o**2 - w*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 46297?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44994865 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: Suppose 10*n = -252 - 268. Let k = 55 + n. What is the hundreds digit of (262\/k)\/(6\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615\/164*3040\/(-35340).\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + a**2 - 125*a + 551. Calculate f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54286\/57 - 19213561\/20235. Let o = -2\/1065 - u. What is the common denominator of -143\/42 and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51561864 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -5 (c) 9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t - 21. Let j(q) = -q**3 + 7*q**2 - 2. Let i be j(t). Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1, 280, -7 in descending order.\nAnswer: 280, 3, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.61 or -0.94?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 12)*(8 + 9*x - 5 + 2*x**2 + 4*x) to the form c + d*x + m*x**2 and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*d - 53*d + 5*d + 3492 = -27*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1885, -175, -2223, -4253, -6259, -8235?\n\"Answer: g**3 - 2067*g + 3951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2755*g. Let u(w) = 23*w**2 + 5. What is i(u(b))?\nAnswer: 63365*b**2 + 13775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1212110?\nAnswer: -1212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16390, 66519, 151878, 273949, 434214?\nAnswer: 634155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/25)\/(27\/(-6)). What is the second smallest value in -3, -2, w, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 7, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 22 - 2 = 0. Let u(m) be the first derivative of 4*m**3\/3 - 7*m**2\/2 + 5*m + 38. Is 15 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*c - 9 + 40 = 0, 4*c - 16 = 0. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**15 assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320) - sqrt(20))\/(sqrt(4) + (sqrt(96)\/sqrt(3) - sqrt(32))\/sqrt(8) + sqrt(4)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12911064 and 38733192?\nAnswer: 38733192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*(2 - 30\/9). Suppose n = -z*n + 4*j + 8, j + 2 = 4*n. Suppose n = -2*a - b + 2226, a - 5*a = -5*b - 4480. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/3 + 65*y\/3 + 1498 = 0. Calculate y.\nAnswer: -42, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 3*w**2 - 5*w - 7. Let k be l(5). Let x be k\/(-35)*800\/(-6). Round x to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 520995901 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2560 - -6849. What are the prime factors of p?\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 11. Let u be m(-11). Let n = -5720\/34817 - -2\/941. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - t = -12, -35*g - 2*t = -6715 + 6460 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is v in 37\/5*v**2 + 0 + 1369\/10*v + 1\/10*v**3 = 0?\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3 + 15*r**2 + 72*r - 329. Factor a(g).\nAnswer: 3*(g + 4)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let g be (-3)\/(-12) + (-5)\/4. Let k be l(g). Suppose -11 = -5*m - 1, 0 = -k*a + 3*m + 27. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*u**5 + 115*n*u**4 - n*u + u**2 + 27 wrt u?\nAnswer: 120*n*u**2 + 2760*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 + -8.06. Let k = a + 0.36. Let c = -557\/5 - -111. Sort k, 7, c in descending order.\nAnswer: 7, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*r + 5923 - 1231, -4*r = -5*j - 11712. Let m = -1594 - j. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2713, -5977, -9241?\n\"Answer: -3264*q + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17184*j**3 + 46*j**2 - 46*j**2 - 17207*j**3.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 17. Let v = 3 - 9. Let l(q) = q**2 + 7*q + 7. Let r be l(v). Sort r, b, 5 in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:06 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 1.02?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 32*j**2 - 181*j - 2081. What is n(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*p + 1366 + 1953 = 0, 2645 = -4*r - 5*p. Let o = -421 - r. Suppose o = 2*t - 0*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5734672.1 to the nearest 1000.\nAnswer: 5735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115435 by -23087.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/8, 0, -9\/7, 2\/13 in decreasing order.\nAnswer: 2, 2\/13, 0, -3\/8, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 170\/4 + (-7)\/(-14). Let s = g + -38. Solve s*t = 6 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) 4220 (c) -0.3 (d) 833\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -55) + -3 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422418640.\nAnswer: 2, 5, 7, 19, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 + 414118*s**2 - 21489417248*s + 5452906538040 = 0. What is s?\nAnswer: 255, 103402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54802569 is divided by 2129?\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -213*y + 1222. Calculate t(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 972724 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7623 is divided by 3354.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61013 is divided by 252.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.008 (b) 1\/3 (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, -0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 2474224*w\/5 - 765223050272\/5.\nAnswer: -2*(w - 618556)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 7010 + 6975 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*o - 33120 = -38*o + 135*o for o.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(5\/(-24)*(-224)\/840)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -38, -31, -4, 49, 134, 257?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1122 + 13?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 2, o: 3, k: 2}. What is prob of sequence ok?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.96 - 0.04. Let b be 12 - 56\/21*3. Let i = 3.1 - 3. What is the nearest to i in r, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167 - -179. What is the smallest common multiple of 21 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 165254d - 2?\nAnswer: 165254b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 153 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 53 = 2*g - 0*m, 5*g = -3*m + 117. Let t be (g\/16)\/((-9)\/6 + 2). Solve 4*p + 0*x + 2*x = 2, -4*x = -t*p + 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -989 divided by 81\nAnswer: -989\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -29770, -3.21, -1 in descending order.\nAnswer: -1, -3.21, -29770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/7331 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Suppose 5*h = -0*h - b + 19, -2*h - 3*b = -5. Let q(f) = 5*f - 4. Let m(g) = h*w(g) - q(g). What are the prime factors of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 8*b + 974. Calculate m(-35).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 169*l**2 - 339*l + 1540. What is j(-167)?\nAnswer: 2375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7719 - 2036 = -343*q + 2782 + 9758 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175) - (sqrt(175) + 1)) - (sqrt(7) + sqrt(63)*-1 - (sqrt(84)*1)\/sqrt(12)).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 45*t**4 + 1190*t**3 + 5100*t**2 + 3960*t = 0. What is t?\nAnswer: -6, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1 + 7*d - 8*d + 1. Let i be k(-4). What are the prime factors of i\/((-3)\/(6\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let t(k) be the third derivative of k**4\/24 + 10*k**2. Let h(u) = 4*u. Let p(c) = h(c) + 5*t(c). What is d(p(b))?\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 468828730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/91707201 and -88\/4995.\nAnswer: 458536005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59690755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 27*x = 1, 5*n + 4 = x. Let g = 89\/2 + -43. Which is the nearest to g? (a) 0.06 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-20)*20\/6. Suppose -156 = -4*j - c*l, -2*l - 17 - 178 = -5*j. Suppose 4 - j = -q. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let u(v) = v - 1. Let l(n) = 15 + 0*n - 11*n - 9. Let h(q) = -l(q) - 6*u(q). Calculate r(h(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 310 = -9*f. Let i = f + 19. Let z = 15 + -6. Calculate the highest common divisor of i and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -1\/4, 4, 2508, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 3*c**3 + c**3)*(-6*c + 1 - 1) + 0*c - 1119*c**4 - 5*c + 1179*c**4.\nAnswer: 66*c**4 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (50\/15)\/((-4)\/(-6)). Sort -4, x, 2.\nAnswer: -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/14882 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -17.07. Let f = -17.7 - i. Let j = f - -0.4. Sort 3, j, -2 in decreasing order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (19 + 0 - (167 - 166))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -510, -0.4, -11\/8.\nAnswer: -510, -9, -11\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -19*x**2\/2 - 5*x + 2. Suppose 87*o - 91*o = 8. Does 4 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(-1*3\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12816 by 24.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = 5*h - 22, 2 = 5*s - 2*h. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1428254\/145 + 9850. Calculate the common denominator of k and -27\/50.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983465387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14720.7 and 0.37.\nAnswer: 14721.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (8 + (-980)\/(-30))\/(-6*(-1)\/711)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/18)\/((-2)\/(-6)). Let i = 3 - 6. Let m = i - z. Which is the third smallest value? (a) -1\/3 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxibbixbxbbxb. Give prob of sequence xxxb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6250951201 - -7.6251. Round m to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + 19. Calculate h(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -199, -439, -775, -1207, -1735?\n\"Answer: -48*y**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 18887.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52047, -52048, -52049, -52050?\nAnswer: -52051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39003260.\nAnswer: 2, 5, 29, 67247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238819 divided by 84.\nAnswer: 34117\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -84\/17, -2\/15, 5\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let o(g) = 1299*g. Determine l(o(d)).\nAnswer: -2598*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*a + 108. Let s(r) be the second derivative of r**4\/12 + 4*r**3\/3 + 15*r**2 + r + 8. What is the remainder when a is divided by s(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 187332 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/12 - 2*u**2 + 2703*u + 2. Let s(c) = -3 + 4*c + 27 - c. Calculate s(x(q)).\nAnswer: -6*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 1, c: 4, v: 4, y: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56788, 56795, 56806, 56821, 56840?\n\"Answer: 2*r**2 + r + 56785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*p - 3*l, 3*p - 5*l = p - 17. Suppose -5*f = 2*x - 47, -f - p*x - 38 = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -22*a + 0 + 0. Let z(s) = s**2 - 4*s + 2. Let l(r) = -4*r**2 + 14*r - 7. Let m(o) = 4*l(o) + 14*z(o). Determine f(m(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 85*f. Let o(a) = -4. Let k(z) be the first derivative of -z**2\/2 + 6*z - 19. Let b(t) = -2*k(t) - 3*o(t). What is q(b(r))?\nAnswer: 8*r**2 - 170*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1860950369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6567 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -389.179 and 90.\nAnswer: -299.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109409 + -73208. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 12\/(-30))\/((-28)\/20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 8. Let v be 128\/(-72) - (-4)\/(-18). Let o(s) = -s + 3. Let x be o(v). List the prime factors of d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 4)*(-h + 3*h - h) + h - h + 2*h)*(0*h**2 + 0*h**2 + h**3)*(h - h - h).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4, 15456082?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 + 2*j. Let s(q) = 24*q**2 - 9*q. Let c = -232 + 241. Calculate c*u(a) + 2*s(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20230174 to three dps.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9447445 divided by -49?\nAnswer: 192805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mso when three letters picked without replacement from {l: 2, b: 1, s: 1, m: 1, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29958, 59924, 89890, 119856, 149822?\n\"Answer: 29966*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139591\/16 + 8719. Calculate the common denominator of y and 101\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01455254 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23003120 (base 4) to base 8.\nAnswer: -130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -1. Suppose -4*q - b = -6*q. Suppose 5*l = -1 - q. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 41 - 52)*(2 - 1 + 0*o - o).\nAnswer: 107*o - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**3 - 9*u**2 - 23*u + 20. List the prime factors of p(6).\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10396.83g in milligrams?\nAnswer: 10396830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 - 1856 + 1856 + 21*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -w, 12*y + 5 = 5*w + 8*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-558)\/(-27) + (-4)\/6. Suppose -2*g + 2*q + 4 + 2 = 0, -4*g - 4*q + x = 0. Solve 0 = p - g + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 7 = 5*b, 38*t = 36*t - 4*b + 4 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21180146?\nAnswer: 2, 13, 631, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g**3 + g. Let w be m(1). Suppose -x - 2*x + 5*n = -17, -5*x - n + w = 0. Solve x*l + 13 = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-6))\/2*(73485\/138)\/(-355).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*a + 48 = -50, -5*a = -2*h + 32. Let t = h + -79. Is 4 + -2 - t*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/40 and -7\/2376.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -1.96. Let r = 448\/3895 + -2\/205. Which is the third smallest value? (a) n (b) -1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148185.\nAnswer: 3, 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*(-7 + 4 - 0). Let s be 1\/((-3)\/8*r\/9). Suppose 6*i - s*i = -48. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 3*v**2 + 2*v - 4. Let u be b(1). Suppose -u*c - 5*m + 2484 = -2*m, -826 = -c + m. What are the prime factors of c?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 + 31.2\nAnswer: -141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -574*b**3 - 23*b**2 + 205*b + 2323. Is k(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 9\/(-2) - (-54)\/12. Suppose y*o = -31 - 155. Let n = 67 + o. Solve -2*k + 5*g + 3 - 26 = 0, 3*g - n = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5717, 11246, 16611, 21812, 26849?\n\"Answer: -82*t**2 + 5775*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21646.\nAnswer: 2, 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 37975*y + 418127. Calculate l(-11).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -6, -1186, 7, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - (5 - 0) - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/60*-2*1. Which is the third smallest value? (a) 0.3 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112300212 (base 4) in base 15?\nAnswer: -70461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jssp when four letters picked without replacement from sossjspnjjosy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/7 - 34584*w\/7 + 69156\/7 = 0.\nAnswer: 2, 11526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 0. Let b = -31 - -25. Let a be 1\/(-2)*b - 1. Calculate the highest common factor of q and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2 - 25*p + 41. Let i be m(3). Solve -18*s + i + 106 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303181 is divided by 218?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006888576 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -48, -103, -180, -279, -400?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7275.3231799.\nAnswer: 7272.3231799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 147223 = 5*j, 0 = -3*j + n + 34505 + 53816. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 74 = 7*n. Let r = -11 - n. Let b = 121 + r. Calculate the highest common divisor of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11, -0.3, -2\/65, -20?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -356*f**2 + 295*f**2 + 232*f**2 + (-f - 4*f + f)*(0*f - f + 0*f).\nAnswer: 175*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 20, -49*o + 55 = 2*r - 44*o. Suppose -561 = r*x - 29*x. Sort -5, x, 2 in increasing order.\nAnswer: x, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {m: 5, i: 2, s: 3, r: 1, j: 1, d: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.12 - 0.12. Let p = -1047\/11 + 95. What is the smallest value in c, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1\/3, -2, 2, 1\/2, 570.85?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:35 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65144841?\nAnswer: 3, 21714947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.728 + -2.728. What is the closest to 9 in 5, w, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 539815511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c5 + 65?\nAnswer: 95a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 31 = 5*f, -3*u - 15*f + 14*f - 35 = 0. Does 55 divide (1870\/34)\/((-2)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:57 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 334774\nAnswer: 334774.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q + 3. Let x(y) = -4*y - 58. Let k(d) = 10*d + 102. Let f(n) = 4*k(n) + 7*x(n). Calculate -3*f(p) + 2*o(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2490 + 2490. Solve d = -30*o + 34*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20120211022 + -1?\nAnswer: -20120211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63776, -510161, -1721774, -4081229, -7971140, -13774121, -21872786, -32649749?\nAnswer: -46487624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 49. Solve -4*k = -5*k - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2308 + -2307. Let f(i) = i**3 + 7*i**2 - 12*i + 10. Let o be f(-9). Find the common denominator of 97\/28 and ((-6)\/o)\/((-152)\/148 + n).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + (6 - 4) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2 - 102991*l - 823992 = 0. What is l?\nAnswer: -8, 102999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 783*r + 15613. Determine x(-22).\nAnswer: -1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10503 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) + -53*8\/88?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - n + 5*n + (-n + 3*n - 3*n)*(89 - 96 + 143) + (-3 + 4 + 0)*(-n + 5*n - 5*n) - 8 - 5*n + 8 as v*n + z and give v.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 209\nAnswer: -271.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:52 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 62, 108, 176, 272?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 1221. Suppose -2*g + y = 2*u, -3*g - u - 3*u = -1729. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -257a - 31?\nAnswer: -25ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*l - 3, -6 = 85*l - 81*l - 2*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*n - 31, -2*n + 20 = -2*t - 6*n. Let l be 0 + 2 + (-4)\/t. Suppose -5*w = 4*k - 17, 2*w - 2 = k - l. Solve -5*r - w = -21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**36)**(2\/15)*(i\/(i**1\/i)*(i\/i**(-7\/5)*i)\/i)**38 assuming i is positive.\nAnswer: i**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 444.0906 - 0.0906. Is w at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Suppose 1955 = 19*i + 6686. Let n = i + 245. Give t(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 28*w**3 - 27)*(2*w - 2*w + 5*w) as m*w**4 + t + g*w + n*w**2 + y*w**3 and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stsz when four letters picked without replacement from zzzztslzzztzzsstzssz?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373244973*l - 457473964 with respect to l.\nAnswer: -373244973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -61, 3, -0.05, 2\/3.\nAnswer: -61, -0.4, -0.05, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51605355 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let s(x) be the second derivative of 187*x**3\/6 + x + 92. What is s(m(a))?\nAnswer: 187*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4566*q - 75846 + 151691 - 75845 as f*q + g and give f.\nAnswer: 4566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1838116866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -651242656 less than 179?\nAnswer: 651242835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23863, -47727, -71589, -95449?\nAnswer: -119307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 5202.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.5 - 0.5. Suppose -54*q + 49*q = k - 13, 5*k = -2*q + 19. Let y = 3 - 2.8. Which is the closest to k? (a) -1 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*x**2 + x**4 - 50*x**2 - 16*x**2 - x + 24*x**2 - x**3 - 10*x**2 in the form l*x**4 + u + k*x + p*x**3 + a*x**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 4468256?\nAnswer: -4468261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 63, -2\/19, 0.3, -1, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 78 = 3*m + o, 0 = 2*m + 4*o - 166. Let c be 3*4\/4*1. Suppose -c*l - m = 62. What is the common denominator of 25\/2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -3, 18, 2, 7, 101, -0.3 in ascending order.\nAnswer: -3, -0.3, -2\/13, 2, 7, 18, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*f**3 - 153*f**3 + 116*f**3 + 20*f**3.\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*u**2 - 2*c**2*u**3 + 37582*c**2 - 10585919*c*u**3 wrt c?\nAnswer: -24*c*u**2 - 4*u**3 + 75164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4948061*n + 5*n**2 + 4948061*n - 339 to the form m*n**2 + o*n + r and give r.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8680, -33081, -73744, -130663, -203832, -293245, -398896?\nAnswer: -520779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*r - 8 + 8)*(2*r - 6*r + 3*r).\nAnswer: -113*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 5. Let o = -1.5 + v. Let n = 1.1 - -2.9. Which is the closest to -2? (a) 0.3 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*t - 6*t = 5147 - 5096, 0 = -3*n + 3*t + 51 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 64763*a\/4 + 517848.\nAnswer: (a + 32)*(a + 64731)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 26*t**2 - 48*t - 5. Let k be d(24). Put 3, k, 33, 0, 6 in decreasing order.\nAnswer: 33, 6, 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207300 and 68730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/675 and 35\/297.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)\/r*r)**(-2\/25)\/(r**(-3\/7)\/((r*r\/(r*r**(-1\/17)*r*r)*r)\/r)) assuming r is positive.\nAnswer: r**(-1168\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 130. Let x be d(-25). Let k = x - 211. Put -4, -8, k, 0 in decreasing order.\nAnswer: 0, -4, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-36) - 170\/6)*(-40 - -39)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 898535d?\nAnswer: -8985361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12000000*w - 2. Let m be t(-4). Suppose -p = 3*c - m, -c - 15999992 = -2*c - 4*p. Round c to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 14. Suppose -4*n + 2*k = -v - 18, n + 4*k = 9. Solve -2*u - 5 = 4*f - n, -2*f - 6 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 18. Let k = i + 4. Let d = 0.2 - 0.2. Are k and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 5*w**2 - 4*w - 30. Let b be c(-6). Let f(g) = -17*g + 517. Let z be f(b). Let t(a) = -a + 2. Let v be t(0). Solve z - v = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 3. Let t be f(7). Let d = 28 - t. Calculate the remainder when 52 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 459 + -414. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935.4 minus -3865?\nAnswer: 9800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 81*z + 924. Is f(39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 15 + 183. Suppose -5*f + j = -2. Solve -10*n + 3 = -f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 28*l + 3. What is w(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247086 or -3.28?\nAnswer: -247086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u**3 + 8*u - 3 - 1169*u**2 + 1177*u**2 - u**3 + 17. Calculate f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*136\nAnswer: 16.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f + 5 = 5*y, -4*f + 5*y - 8 = 0. Let j = -2 - -5. What is the second derivative of f*g - j*g**4 + 0*g + 3*g - 3*g wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 159?\nAnswer: 159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 2. Let o be h(-2). Let i(f) = -f**2 + o*f + 0*f. Let z(b) = -2*b**2 - 2*b**2 - b**2 + 4*b**2. What is i(z(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 203054 (base 12) to base 5\nAnswer: 112043122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1190 - 1178. Calculate the remainder when 165 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247840 is divided by 181?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38229612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188454 and 1344.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24045874 + -6092287.\nAnswer: -30138161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7022612.\nAnswer: 2, 1755653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/6 - -2)\/1)\/(3\/(-81))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73279, 146559, 219839, 293119, 366399?\nAnswer: 439679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w = -355 + 139 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10338 (base 13) to base 7.\nAnswer: -150612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**2*u))**(-16) assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f\/f**(-5))\/(f**(-1)*f)**(-48))\/((f**(-1))**(4\/5)*f**4*f**(5\/6)*f) assuming f is positive.\nAnswer: f**(259\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 + 6*a - 3. Let z(n) = 9*n**2 - 7*n + 4. Let y = 41 + -34. Determine y*k(b) + 6*z(b).\nAnswer: -2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 = -4*g - 3, -4 = 3*n + g. Let q be n*1\/2*2. Suppose 0 = 4*r + z - 3 - 6, -5*r - 5*z = 15. Solve q = m + r*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195825 by -195825.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 10*y - 28. Let -6*n**3 - 18 + 0 - 31*n + 687*n**y - 26*n - 732*n**2 = 0. Calculate n.\nAnswer: -6, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -302?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -31?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 31*u**2 - 6*u + 175. Let a(m) = 5*m**2 - m. Calculate 6*a(q) - p(q).\nAnswer: -q**2 - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112\/(1 - (4 + -5)). What is the greatest common factor of v and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:35 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1808, 2397, 1776, -61, -3120, -7407, -12928, -19689?\n\"Answer: -h**3 - 599*h**2 + 2393*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -70.2+36660\nAnswer: 36589.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 11) to base 14\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3, 2\/27, 45\/13, 3\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (9 + -4 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 22. Let q(j) = -3*j + 7. Let n be q(g). Let x = n - -49. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 q when four letters picked without replacement from qoqooqqiqoooooq.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -2\/9 (c) 0.01962 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7, 16, 1\/3, 0.2135, -0.4 in decreasing order.\nAnswer: 16, 7, 1\/3, 0.2135, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022819 rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g - 19*g - 4 + 4 as q + f*g and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -196*b. Let i(t) = -2*t**2. What is o(i(p))?\nAnswer: 392*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1158*i - 25520*i + 1459005 + 1582287 for i.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2077 + 1223*w + 2077)*(-3*w**2 + w**2 + 4*w**2) to the form d*w**3 + o + b*w + q*w**2 and give d.\nAnswer: 2446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -195, -312, -477, -690, -951, -1260?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*y**2 - 5 + 32*y**2 + 1 - 58*y**2 to the form q*y + w*y**2 + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-78))\/(22\/198).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5087*u + 11 - 5086*u + 17. Let a be z(-14). Solve 6*m - a = -44 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 13) in base 4?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 10*b - 325 = -5*b. Solve 49 = b*n - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-49 - 3)) + -25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 9:51 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 2*p + 3. Let a(m) be the first derivative of -m + 2 + 1\/3*m**3 + 0*m**2. Determine 4*a(w) + s(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 260850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13302111 - 210?\nAnswer: -13302321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(14904\/1371) + 45\/120 and 53\/460.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(j**4 + 0*j**2 + 0*j**2) - 2*j**5 + 98 - 98 - 12*j**4.\nAnswer: -j**5 - 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*z - 12, 0 = -w + 4*z - 6 + 22. Suppose 4*v - s - 4 = w, 5*v + 0*v + 4 = -s. Suppose v*a + a = 23. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.28, -36445?\nAnswer: -36445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 100401.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -355583276?\nAnswer: -355583255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010161323 rounded to 6 dps?\nAnswer: -0.001016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*p**2*v**2 + 4*p**2 - 4*p*v**3 + p - 4*v**3 + 1310*v - 2 wrt p?\nAnswer: 28*p*v**2 + 8*p - 4*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(3 - (-28)\/(-8)). Suppose -3*j - 2*g - 1 = -2*j, -f*g = 16. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/3)\/s))\/s*s*s**(-2)\/s*s)\/(s*s\/(s\/(s\/s**(2\/5))))**(-26) assuming s is positive.\nAnswer: s**(619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 42*v**2 + 28*v + 80. Let s be h(-3). Suppose -z + 4*z + 4*n = 110, -2*z + 76 = 4*n. Calculate the highest common divisor of z and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177757.0910083 + 177757. Let u = 0.091 + k. Round u to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 5. Let l = 0.3 - 0.4. Let h = 1.1 + l. Sort h, -5, s in descending order.\nAnswer: h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*c = -12, -4*l + 32 - 13 = 3*c. Suppose -s = -4, -2*w = -l*w + s. Solve w*k = -5*q - 30, -3*q - 7 = -2*k + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 - 3 - 1) - (-17 + 41)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 2. Let k(s) = s + 1. Let a(y) = k(y) - t(y). Let h be a(-4). Let m = h + -8. Let g(i) = -i**2 + 7*i - 4. Calculate g(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -1, -28.\nAnswer: -28, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1 - (11\/(-2) - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57952958 a multiple of 6114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-4))\/(31 + (28 - 61)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 26*x + 32. Let f(b) = -7*b**2 + 51*b - 61. Give -7*f(t) - 13*y(t).\nAnswer: -3*t**2 - 19*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 408000\/(-2080) + 143 - (15\/(-13) + 1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - r**2. Let p(j) = -j**3 - j**2. Let b(z) = -c(z) + 3*p(z). Let b(a) = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.097 + -0.297. Which is the third biggest value? (a) l (b) 2\/3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 38 (b) 0.05 (c) 6\/7 (d) -2.7 (e) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 + 3*h + 3. Let w(j) = 2*j - 4*j**2 + 4 - 2*j + 4*j + 12*j**2. Let x = -3 + 17. Let o = -20 + x. Determine o*d(i) + 5*w(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + p + 24, -5*p = 5*w - 40. What is the remainder when 15 is divided by w + (-4)\/(-16)*0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s - 1536 = 1071 - 584 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6.9. Let t = 25.6 - 26.6. Put 1\/8, t, a in ascending order.\nAnswer: t, a, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 55, 2\/5, -60, 0.09, -3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 676*j**4 - 390*j**4 + 4407 + 3540*j**4 wrt j.\nAnswer: 15304*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1646691*r + 4940075. Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5*(1 + -3). Is 17 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 7*w + 5. Let r be a(-2). Suppose 827 = g + r*y, -7*g + 5*g + 1660 = 4*y. What are the prime factors of g?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = 0, -2*v + 2*c = 7 - 37. Suppose -18 = -2*s - 2*u, v = -3*u - u. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24008555 is divided by 858?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -214, -423, -632, -841?\n\"Answer: -209*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v - 39*v - 10 = 0. Find the third derivative of 7*m**3 - 31*m**2 - 42*m**v + 9*m**2 - 62*m**3 wrt m.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 6*x - 7480 = 0. List the prime factors of x.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 4. Let c be n(3). Suppose -5*u + u + 8 = -3*b, -5*b - 25 = c*u. Let k(o) = -o - 1. What is k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 16)\/(-2)*-1. Let j = f + 4. Let w = j - -7. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2 - w. Suppose -70 = -3*x - 49. Let z(o) = -11*o**2 - 3*o. Determine x*j(m) - 3*z(m).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {n: 3, l: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13*t = 220. Suppose t*v = -125 - 2779. Round v to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.5853 and -4.\nAnswer: -11.5853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + v = 10*y - 1509, 3*y = -5*v + 1491. Suppose 0 = 6*j - y - 2018. What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 21*t + 22. Let k = 21271 + -21249. What is i(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -101*d**3 - 2*d**2 - 8*d - 11. Is 3 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/5)\/((-162)\/270).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32193, 257681, 869823, 2061981, 4027517, 6959793, 11052171, 16498013?\n\"Answer: 32227*w**3 - 35*w**2 + 4*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3889*z + 101115. What is p(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 143+15.2236\nAnswer: 158.2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = 5*u. Solve -4*j = -j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2944*h**3 - 2*h**2 - 540?\nAnswer: 17664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.83 - -0.53. Which is the closest to 0.1? (a) -6 (b) 0.2 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550 times -5\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 + 58*i**3 - 15 - 871*i + 872*i + (2*i**2 + 0*i**2 - i**2)*(0 - 2*i + 0).\nAnswer: 56*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -103*r - 2. Let a be z(1). What is the common denominator of ((-29)\/(-2))\/(a\/25) - -1 and 107\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3\/4 + 74995*l**2\/2 + 12164700*l = 0. What is l?\nAnswer: -29670, -328, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582 - -582. Solve l - 5*r - 2 = -13, l + 5*r - 9 = x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9317499733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((12\/(-9))\/(-4)). Let u(c) = c**3 + c. Let w(y) = -2*y**3 + y**2 + 1. Let x(t) = 3*u(t) + 2*w(t). Let g be x(3). Sort g, 0, k in ascending order.\nAnswer: k, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.99 + 0.01. Let j = -3 + 3.6. Let i = -0.09 - 2.91. Which is the second smallest value? (a) q (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*g - 11 = k, -2*g = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h**2 + h)*(2*h + 0 + 0) - 3*h**3 + 3*h**2 - 2 + 6*h**3 - 5*h**3.\nAnswer: 2*h**3 + 3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3491, -1, 0, 2, 5, -37 in descending order.\nAnswer: 5, 2, 0, -1, -37, -3491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 0.21. Let h be 1\/(25\/59) - 2. Let g = 11\/25 + h. Which is the third biggest value? (a) 0.4 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -20*s**3 + 4*s**2 - 4. Give p(-2).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g + 88*g = 12*g - 500 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6693 - -6380. Sort l, 2, 7.\nAnswer: l, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172.3 - 147.3. Let u = 3.92 - -0.08. Sort u, -3\/5, b in decreasing order.\nAnswer: b, u, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 6, 0.2, 420 in descending order.\nAnswer: 420, 6, 0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30514 and 2057.\nAnswer: 5706118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x. Let h(v) = -1. Let i(o) = o**2 - 10. Let t(q) = -5*h(q) + i(q). What is t(w(p))?\nAnswer: 4*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 26383*x - 79149. Determine r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4\/4 - 8*v**3\/3 + 3*v**2 + 10*v + 2. Let g be p(7). Solve 3*a = m + 3 + 14, -g*a = 4*m - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 3 + -63 + 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 402638650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let g be (-512)\/128 + (3 - -4). Let u(a) = 6*a + 2. What is g*s(q) + u(q)?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5131.0821 + -62.31?\nAnswer: -5193.3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 148 - 120 = 0. Solve 0 = -4*a + 2*a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*0\/(-4*(-60)\/(-48))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -153a (base 15) to base 11\nAnswer: -3471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*p**2 - 231*p**3 - 136*p**3 + 831*p**3 - 311*p**3 as y*p + l + n*p**3 + v*p**2 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333 + -147.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 59 = -4*c + 6*p, -16 = -c + p. Suppose -3*y = 2 - c. Solve 0 = -2*i - y - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 7*j**6\/6 + 27*j**2\/2 + 9. What is the second derivative of n(d) wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 100620*c - 402479\/4.\nAnswer: -(c + 1)*(c + 402479)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 345\/46586?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:24 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37243\/606 less than 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41150 + -316?\nAnswer: 40531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let p = 21 + -21. Let u = 0.5 + -0.6. Which is the nearest to p? (a) w (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 - 28*h - 3. Let z(b) = -36*b**2 - 85*b - 8. Give 8*g(w) - 3*z(w).\nAnswer: 12*w**2 + 31*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:19 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*n + 431, 5 = -46*a + 47*a. Calculate the smallest common multiple of n and 12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 38, 87, 156, 245?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 2*m + 4. Let j be y(-3). Let a = j - 38. Suppose a*h = 2*k + 2 - 1, -5*h - 3 = -4*k. Solve 3*p - 16 = -h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*s + 4, -2*w - w = -2*s - 6. Let t(k) = -4*k. Give t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3 in descending order.\nAnswer: 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7575*u - 2372*u + 546*u + 863*u to v*u + y and give v.\nAnswer: -8538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005977 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m = 190*m - 112632. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 60*l**2 + 72*l - 128.\nAnswer: -4*(l - 16)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 9*q = 12090. Suppose 1001*v - 995*v = q. Does 85 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.42 and -0.4884593844.\nAnswer: -0.0684593844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*u + 3, 0*u - 9 = 4*u + 3*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*u + 8448 = -60*u. Calculate the greatest common divisor of u and 2912.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k - 1. Let w(n) = n + 9*n + 3 + 0 + 7. Let t(x) = -20*l(x) - 2*w(x). Let g(f) = 4*f. What is g(t(d))?\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**2 - 3*l - 3. Let f be k(-2). Let r = f + 40. Solve 3*c + 5 = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 15*t - 2*t**2 - 2 - 8*t - 9*t - 2*t**3. Let l(w) = -8*w**3 - 9*w**2 - 9*w - 9. Calculate -2*l(p) + 9*x(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1\/5, 3\/2, 0.07, -2\/13, -2\/3073?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20668634 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -159 and -9.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5586)\/(-21))\/14 + -11 + 4\/6*-87?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. What is the second derivative of 1 - v*f**3 + 3*f**3 - 2*f - 1 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(3\/1). Differentiate 2*m**3 + 0 + t*m**3 - 3*m**3 - 1 with respect to m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6.98713, 0.2, 1\/155?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(-2 + 2 + sqrt(1539)) + 2 + 1*-1*sqrt(1539) + 5)**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -0.21.\nAnswer: -8.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 12. Let u(x) = -70*x**3 - 140*x**2 - 155*x. Let k(g) = 5*g**3 + 10*g**2 + 11*g. Let o(i) = b*u(i) + 85*k(i). Factor o(c).\nAnswer: 5*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let b(z) = 3*z**2 + 3*z + 2. Let w(g) = -4*a(g) + b(g). Let t = 1 + 2. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.06, -427.1, -533?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 3, -0.08, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2339709, 4679419, 7019129, 9358839, 11698549?\nAnswer: 14038259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.07 * -0.4.\nAnswer: -3.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5)*(1 - 4 + 0)*(-2*h + 1 - 1).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/(-5170)*-22*(2 - -58)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 34*g**4 - 5093 + 5098 - 14*g**4 as d*g + z + w*g**3 + o*g**4 + a*g**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let h be (-2)\/(1 - 10\/6). Let l be (h*51\/144 + -1)*-2. Which is the fourth biggest value? (a) n (b) 0 (c) 0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*a**2 + 1 - 1 - 42*a**3.\nAnswer: -42*a**3 + 220*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:57 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*g - 9572 = 0, 9560 = 8*b - 4*b - 2*g. Let h = -1675 + b. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/512 and (-11)\/(-55)*-1 + 2391\/2880?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -18557?\nAnswer: -16\/18557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100111010 (base 2) to base 8\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(112)*3)*-2 + sqrt(112) + 2 + -4)**2.\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 6, 3, -11, 35062.\nAnswer: -11, -5, 3, 5, 6, 35062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -5*v**3\/3 - 200*v**2 - 395*v - 2050. Suppose j(x) = 0. What is x?\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*o**3 + 0 + 946*o**3 + 0 + 934*o**3.\nAnswer: 2892*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122436065 and 930.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*t - 2, -6*t = 2*g - 3*t - 4. Let c = g - 0. Suppose o + c*o - 33 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -14.7. Let j = -8 - x. What is the smallest value in -5, j, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*16\/48)\/(75\/(-18) + 3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*x**4\/5 + 5792*x**3\/5 - 63314*x**2\/5 - 49956*x\/5 - 9522\/5 = 0. What is x?\nAnswer: -3\/8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340 + -337. Let l be 216\/(-56) - (h + -8). Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, h: 2, l: 3}. What is prob of sequence ll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 55976\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*l**2 - 569*l*w**2 + 2*w**2 - 688 wrt l.\nAnswer: -40*l - 569*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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 g(h) = -h**3 - 4*h**2 - 4*h - 2. Let n be g(-2). Is (-434)\/(-10) + n\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/12 - 1\/(-3). Let y be 17 + -3 + (0 - d). Let q(x) = 10*x**3 - x**2 + 1. Let p be q(1). Calculate the highest common divisor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**4 + m**4 + 84 + 47*m**3 + 47*m**3 + 9*m**3 wrt m?\nAnswer: -8*m**3 + 309*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 410 - 368 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggbrjggggg. What is prob of picking 1 g and 1 r?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.2722736 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 196 + -1388?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/4 - 5207*i**4 + 229241*i**3\/4 + 62517*i**2 = 0.\nAnswer: -20839, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -17. Let m = 1.6 + -1.4. Sort m, 1.6, j in increasing order.\nAnswer: j, m, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*w + 24, -4*q + q = -3*w - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33 + 35*q**3 - 13 - 30*q**4 - 20 - 5*q**5.\nAnswer: -5*q**3*(q - 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i**3\/2 - 1796469*i**2\/2 - 1902252*i - 211362 = 0 for i.\nAnswer: -2, -2\/17, 35227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19822 divided by -53.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.474 to the nearest 10.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 - (1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 2*q - q + (6 + 0 - 4)*(-2*q + q + 2*q) + q - 3*q + 4*q + (-5 + 0 - 4)*(3*q + 2*q - 3*q))*(-290*q + 18833 - 18833) as m + r*q**2 + s*q and give r.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/255 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(18)\/sqrt(6) - sqrt(3))**2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -5, 3\/5, -9\/40?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -186, -177, -152, -105, -30, 79, 228?\n\"Answer: m**3 + 2*m**2 - 4*m - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-2 - -4). Suppose -x + 17 = p*t, -2*x + 5*t - 16 = t. Find the third derivative of -i**6 + 275*i**3 - 275*i**3 + i**x wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3\/4 + 114355065*k**2\/4 - 653853758669955*k\/4 - 3269271652227025\/4 = 0. Calculate k.\nAnswer: -5, 11435509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30252 divided by 10084.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 30*s**3 - 6*s**2 + 76*s - 560. Does 105 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 34*m - 52. Let g be t(4). What is the highest common factor of g and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b91628 - 4a?\nAnswer: -b91676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918415*w**2 + 306134*w**2 + 2 + 306120*w**2 + 306148*w**2 - 2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(n**2 - 2*n + 2*n) + 2*n**2 + 0*n + 0*n + (-3*n + 7*n + 0*n)*(-n + 7*n + 2*n).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1385751381 from -415.\nAnswer: -1385751796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -1, 4, -28, -4.44, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 176. Let x be a(0). Let w = 20 - 4. Calculate the greatest common factor of w and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(33\/(-44))*(-5)\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, -7, 0, -2 in decreasing order.\nAnswer: 15, 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from pppdppdpddpppp.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2257792 + 310\nAnswer: 2258102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 3*v - 44535, -5*o + 20447 = 3*v - 24130. What is the greatest common divisor of 42 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 172, -4, -1\/2 in descending order.\nAnswer: 172, 3, 1, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(25\/35 - 3*(-2)\/21). Solve -o = b + 2*r + 3*r, -5*b - 5 = 2*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3507*i**2*q*x - i*q*x - 7*i - 2*q - 13*x wrt i.\nAnswer: 7014*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 l, and 1 v when four letters picked without replacement from ltvledt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 566 - 570. Which is the second biggest value? (a) 1\/2 (b) -5 (c) -10 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 3. Let x(z) = z. Let b(f) = 16*f + 16. Let n(o) = b(o) + 4*x(o). What is -3*n(u) + 16*p(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-33))**(1\/12) assuming g is positive.\nAnswer: g**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d - 2*d)*(-3 - 3 + 2) to f + w*d and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h. Let o(r) = 2*r**2 - 624*r. What is o(d(i))?\nAnswer: 288*i**2 - 7488*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -10119592.\nAnswer: -10119582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1299 + 2403. Calculate the remainder when a is divided by 365.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4122 and 435329.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -489 (b) -4.568 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(28\/(-32))*1. Suppose 0*r + x + 62 = 5*r, o = -4*x. Solve -5*j = -j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let i = 12 + -7. Let w(c) = 0 - 2 + 7 + 11*c. Let u(k) = 17*k + 8. Let v(p) = i*u(p) - 8*w(p). Calculate g(v(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -281294396, -562588796, -843883196, -1125177596?\n\"Answer: -281294400*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q - 2. Let r be l(-3). Let v be 3 - (72\/20 + -1). What is the nearest to 1 in r, v, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103937597*r**2 - 7406594*r - 2 wrt r.\nAnswer: -207875194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -374*p - 27. Let f be u(-12). Is f\/27 + 4\/(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x - 2 = 0. Let r = 28 - 13. Let q be r\/10*(2 + 0). Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, t: 2, s: 4, j: 1, q: 1}. Give prob of sequence tj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -p + 76 - 15, 67 = 2*p - b. Let n = p - 32. What is the lowest common multiple of n and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17414 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1661 and 32\/1359.\nAnswer: 14949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -4533507514.\nAnswer: -4533507503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6326886 millilitres to litres.\nAnswer: 0.0006326886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 192.9. Let i = -26.2 + j. What is i rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -627 + 630.011. Let n = -0.011 + w. Let m be -3*(10\/(-6) + 2). Which is the nearest to 0.2? (a) m (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + w + 21 = 0. Let k = -7.8 + -0.2. What is the second smallest value in k, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) -4 (c) 276\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -12773.5643.\nAnswer: -12774.5643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((5 - 1) + -1)) + -11 + 60 + -87\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a - 2*v = -48, -4*v - 34 = -a. Let s be (-3)\/(-4)*(a + 2). Suppose 3*u - 3 = 4*u, 0 = -3*k - 5*u - s. Sort k, -3, -1 in ascending order.\nAnswer: -3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516742 - 516742 + d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 8*w. Suppose 3*p + 35 + 13 = w. Let i(v) = -v**3 - 15*v**2 + 14*v - 16. Is i(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.156, -0.3, -1.58, 1?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 2*v - 1. Let t be u(-1). Suppose f - t*f = -4. Suppose 669*o - 22 = 660*o + 5. Solve -o*g + j = 15, 2*g - f*j = -0 - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:52 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r)*(-r**3 + 0*r**2 + 0*r**2) + (73*r**2 - 143*r**2 + 74*r**2 - 384)*(3 - 2*r - 3)*(-r - 2*r + 4*r).\nAnswer: -7*r**4 + 768*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1080) - (-1*sqrt(180) - sqrt(180))\/sqrt(6))\/((sqrt(66) + (-1*sqrt(66)*-3 - sqrt(66)))\/sqrt(11)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/4 (b) 5\/2 (c) -19 (d) 1\/11 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 3*y + 3. Let q be v(-6). Suppose -q = 5*i - 176. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y - 8. Suppose 2*m - 11 + 5 = 0. What are the prime factors of m\/y*-2*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21336 from -18.\nAnswer: -21354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 15*r**7\/14 + 43*r**6\/6 + 53*r**5\/4 + 65*r**4\/12 - 5*r**3 - 121*r + 1. Suppose f(h) = 0. What is h?\nAnswer: -3, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 + 0.14. Let q = 74.3 - 77.3. What is the closest to 0 in i, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02948092363 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 129, 128, 127, 126, 125, 124?\n\"Answer: -j + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261\/130 + 100\/13. Find the common denominator of (4\/(-10))\/((-20)\/1425) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**2 + 2*w - 48. Let o(t) = 7*t**2 - 4*t + 97. What is 3*o(a) + 5*u(a)?\nAnswer: a**2 - 2*a + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.341228072 rounded to 5 decimal places?\nAnswer: 0.34123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -0*c - 4*d + 24, d - 10 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 4*j + 2 - 3*j. Let i(g) = 5*g + 48. Let p be i(0). Suppose -3*d = 13*d + p. What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10 - 0. Suppose -1035 = -3*u + l*t, 0*u + 4*u - 1345 = -5*t. Round u to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/7, -3\/4, 1\/9 in ascending order.\nAnswer: -4, -3\/4, -4\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:14 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5304*z. Let x(q) = -q. Determine a(x(k)).\nAnswer: -5304*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8230 and 100850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 280\/7455*141\/376\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43012 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - (0 + (-3)\/3). Let d = 37 - y. Suppose 104 = 3*m + d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1052 and 0.4.\nAnswer: -420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l - 121. What is a(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b - 5. Suppose 0*n - 9 = -n. Let i be ((-3)\/(-6))\/((-2)\/12). Let a be (-16)\/(-36)*i*-3. Let h(k) = 13*k + 11. Calculate a*h(j) + n*w(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**4 - 636*s**3 + 600339*s**2 + 4228944*s + 3627972 = 0.\nAnswer: -563, -6, -1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 2*q**2 + 4*q. Let h(g) = 17*g**3 - 184*g**2 + 31*g + 200. Let t(n) = -3*h(n) + 24*o(n). Factor t(d).\nAnswer: -3*(d - 200)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 4, 12, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*z - 114*z = 351 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 1\/4, 5, -11 in ascending order.\nAnswer: -11, 1\/4, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + 0.4. Let h = -0.27 - -0.17. What is the nearest to h in -2, -5, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5716 - 25?\nAnswer: 5671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:06 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3884*u = 3953*u + 1380 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -14. Let g = q + 8. 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: In base 8, what is -7 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001122 (base 4) to base 6\nAnswer: 31214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/20 + m**4\/8 - m**3\/2 - 4*m**2. Let n be h(3). What is the units digit of 2\/3*-1*n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 4, -2, -3 in descending order.\nAnswer: 4, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (7 - 21 - 2) + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1131211122 (base 4) to base 14\nAnswer: -9d9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 7*y - 41. What is c(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b**2 - 2*b - 2. Let t be g(2). Suppose 0 = -2*a - 0 + t. Suppose -a*z + 144 = -45*z. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 divided by -253\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 2 + sqrt(2448))*6 + sqrt(2448))**2 - (sqrt(2448) - ((-2*sqrt(2448))**2 + -5) - sqrt(2448)).\nAnswer: 3744*sqrt(17) + 423643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 70 = 2*o, 5*k = 2*o - 28 - 41. Suppose 2*t = 53 + o. Let d(p) = p**3 + 8*p**2 - 12*p - 3. What is the remainder when t is divided by d(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -2*j**6\/15 - 3*j**2\/2 + 7*j. Differentiate d(m) with respect to m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3 = 6*r, 2*r + 78846 = 4*a. Calculate the greatest common divisor of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5dcc (base 16) to base 9.\nAnswer: -35840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -427+0.7170426\nAnswer: -426.2829574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/45*9)\/18*8.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34307.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, 1 in descending order.\nAnswer: 8, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -370 + 386. What is the highest common divisor of 24 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*g - 115 + 469 - 24 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, 2, -1, 3, 9 in descending order.\nAnswer: 9, 3, 2, -1, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72.5? (a) -8 (b) -9 (c) -1.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 2*h**2 + h**3 + 81*h - h**4 - 2 - 82*h + 0*h**2 as k + d*h**2 + g*h + s*h**3 + l*h**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6620 + 2540. Suppose -58*d - j = -63*d. Is d a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q*q\/q**0)**23*(q**(-6)\/(q**(1\/3)*q*q))**(2\/15) assuming q is positive.\nAnswer: q**(-1252\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825592*d + 825588*d - 1651180*d + 47*d**3.\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7417 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 442 + -8?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p - 2*h + 328 = 0, -8 = -2*h. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4813 divided by 43.\nAnswer: -4813\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 + 8*u + 2. Let m be b(-7). Suppose 30 = 2*w - m. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, j: 5}. Give prob of picking 1 j and 3 b.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*t = 28, t + 0 = -4*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(4\/(-8)). Let f be (9 - 7\/1)\/(n\/(-2)). Put f, 1, -19, 4 in increasing order.\nAnswer: -19, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195086 is divided by 278.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 + 1147*t - 1148 = 0?\nAnswer: -1148, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-40) - (-259992)\/(-10). What is g rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = k, p + 4*p - 3*k - 30 = 0. Suppose p = 18*x - 69. Calculate the smallest common multiple of x and 6 - (3 - (0 - -2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/48 and 59\/208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 33*l - 6. Let g be w(5). What are the prime factors of (-82)\/(24\/16*4\/g)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 6 + 6)*(3*q**3 - q**3 - q**3) + q**4 + q**4 + 0*q**4 to the form s*q + t*q**3 + u + p*q**4 + n*q**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 175 (c) -67 (d) -0.5 (e) 3\/5 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54851, 54836, 54801, 54740, 54647?\nAnswer: 54516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35269924 is divided by 3308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*-4 + sqrt(648) - sqrt(648)) + sqrt(648))\/(sqrt(4) + -2*(sqrt(4) + sqrt(16))).\nAnswer: 27*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123606475*t**3*u + t**2*u + 6*t**2 + 2*t*u + 633*t + 9*u + 83 wrt t?\nAnswer: 741638850*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -6)\/((-3)\/(-3)). Suppose -2*p = p - 2*y - 8, -z*p + y + 10 = 0. Let u be ((-4)\/6)\/((-8)\/12). Solve p + u = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 337*k**2 - 3 + 4 + 204*k - 203*k.\nAnswer: 337*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1539 + -519. What is n rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 = -1. Let h(u) be the third derivative of u**6\/120 - u**5\/15 + u**4\/8 - 557*u**2. Is h(w) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311103232 + 231?\nAnswer: 311110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(20 - (-7 - -25)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-10 - (17 - 0)) + 59.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -12. Put 5, r, -8 in increasing order.\nAnswer: -8, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**4\/4 + 4*q**3\/3 + 5*q**2\/2 + 4*q - 8. Let k be r(5). Suppose 0 = -d + 53 + k. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*d - 11. Let m be (-175099388)\/d - 4\/(-10). Suppose 6019878 - m = 5*b. Round b to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1618*m**2 + 2080*m**2 - 614*m**2 as v + w*m + i*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let b(p) be the first derivative of 0*p**4 + 3 + 0*p**2 + 1\/120*p**5 - 1\/3*p**3 + 0*p. Let c(i) be the third derivative of b(i). What is v(c(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*u - 24, -4*u + 5*a - 9 = -0*a. Let w = u - -9. Suppose w*r - 246 = -24. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.934238 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) + sqrt(70) + (sqrt(70) - 4*sqrt(70))))\/sqrt(10).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-10) - -4) + 4\/6. Which is the nearest to 0? (a) 5 (b) -4 (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73671.88 weeks in seconds?\nAnswer: 44556753024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3 (b) 136 (c) -6\/11 (d) 11 (e) -0.2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1244 + -19831\/16. Find the common denominator of 109\/14 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 314*a - 9155. What is c(29)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15589454821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -544 in -5, 1\/2, -1\/4, 0.15, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*d**2 - 172*d**2 - 48*d**2 + 8*d**2 to the form f + p*d**2 + h*d and give p.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 7*q + 2. Let w be s(-6). Let a(r) = -r**2 + 10*r - 10. Give a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1222, -4295 in descending order.\nAnswer: 2, -1222, -4295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.019 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59464 divided by 14866?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 67*d - 201. Let q be o(-14). Let f = q + 2042. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -575 or -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**3 - 5 + 2\/25*l**5 + 4\/5*l**2 + 0*l - 3\/10*l**4. Solve g(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 36. Let g(v) = -v**2 + 6*v + 4. Let z be g(6). Suppose -28 - q = -z*y. Calculate the smallest common multiple of 8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867961 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193901*j**4 + 15*j**2 - 11475078*j.\nAnswer: 2326812*j**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/(f*f**(-7)\/f*f) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48389028 divided by -16162\nAnswer: -2994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/(-396)*(-264)\/72?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 8*h + 10. Let t be g(4). Let r(f) = f + 18. What is the tens digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -2. Let v be -3 - (2 + -2) - -5. Let c be x\/v*30\/175. Is c less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-2))\/6)\/((-29)\/(-174)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18517 (base 10) to base 9\nAnswer: 27354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98328 is divided by 19656?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 1755, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807 divided by -401?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -7*s**6\/60 + 5*s**4\/8 - 8*s**2 + 14*s. Let k(u) be the first derivative of d(u). Find the second derivative of k(y) wrt y.\nAnswer: -84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 + 19*j + 45. Let w(v) = -v**2 - 1. Let k(s) = -h(s) - 4*w(s). Let m be k(-5). Which is the closest to 2? (a) 0.4 (b) m (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rryrrllrgl. Give prob of picking 1 r, 2 l, and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 - 3*i**3\/2 + 9*i**2\/2 - 2*i. Let u be g(7). Let c = u - 0. Let v(t) = -2*t - 4. What is v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23406 and -129.\nAnswer: 23277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7470223, 7469555, 7468885, 7468213?\nAnswer: 7467539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 19158?\nAnswer: 95790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by 6\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6553667*y**6 - 874672*y**2?\nAnswer: -786440040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 4*n + 1. Let m be a(-4). Let d = -100 - -6997\/70. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 399987*z**2 - 39998000016*z - 119990400192.\nAnswer: -(z + 3)*(z + 199992)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430 and 20.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/3947 - 6729680\/35523. Let b = -189 - s. Let c = 2 + -2. Is c equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062337508815 + -0.5?\nAnswer: -1062337508815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-35)\/(-10) + -3)\/(1\/818). Let p be 1*(0\/3 + u). Suppose -10*t + p = -8491. Round t to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8509*i + 11108*i + 2 + 0 - 1950*i. Let n be l(-6). What is n rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98514\/7 - 35072825\/2492. Let c be ((-4)\/534)\/((-40)\/(-60)). Let r = k + c. What is the second biggest value in -1, -5\/4, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*q - 56, 3121*q - 244 = -15*o + 3122*q for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-27)\/(-2) - -8. Let i be (19 + 0)*(-5)\/(-5). Which is the closest to 1? (a) f (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.9467 + 0.0533. Let a = -38 + u. What is the biggest value in a, -0.5, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/123525 and -59\/329400.\nAnswer: 988200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/2 + 2*f**3\/3 - 6*f**2 + 98*f. Suppose 0 = -4*o + l + 2*l - 11, -3*o - 3 = -4*l. What is the hundreds digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 96.\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 284727 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25555 - 46947322.\nAnswer: -46921767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31387, -31386, -31393, -31408, -31431, -31462?\n\"Answer: -4*f**2 + 13*f - 31396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 6 - 10. Suppose 10 = -5*y, -5*y - 13 = -0*s - s. Suppose 0 = -s*h - 4 - 5. What is the smallest value in -2, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518324966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160638 and 21894?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - -47. Suppose -6*c = -c - a. What is the greatest common divisor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -109?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b - 32. Determine v(-25).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 13493149*o**2\/2 - 26986301*o\/2 + 13493151\/2.\nAnswer: (o - 1)**2*(o + 13493151)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7))*-6 + 3.\nAnswer: -6*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747282387 a multiple of 5020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16223510 divided by 5?\nAnswer: 3244702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 1, w: 1, i: 2, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64834 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 52 + 21 + 114*i as r + q*i and give q.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.75 - 16. Round m to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 5\/12*k**4 + 0 - 25\/6*k**3 + 15*k**2 + 66*k. Find h, given that r(h) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 9. Let j(u) be the third derivative of -u**4\/12 - u**3\/2 - 5*u**2. Let b be j(-9). List the prime factors of r(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 30 + (20 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = 5*c, -3*b - 4*c = -0*b + 6. Suppose v - 7 = x + 4, 0 = -b*v - 3*x + 22. Let a = 11 + v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1856736*q**2 + 191663*q**2 + 411574*q**2 - 2450343*q**2.\nAnswer: -3703842*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 - -207.86. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32879)\/77077 - (-2)\/13.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6080 and 93312?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231435?\nAnswer: 5, 41, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1838 divided by -1\nAnswer: -1838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-24))\/(15\/45). Let c = 0.2 + 0. Let r = c + 0.3. What is the nearest to r in -0.2, -3\/5, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1141 in 0.11, -2\/5, 14, 3\/4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19455 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)\/w**(1\/9)*(w\/(((((w\/w**(-1\/6))\/w)\/w)\/w)\/w))\/(w\/(w\/(w**(-1\/4)\/w))))\/((w\/w**(-5))\/w**(-2\/3)*(w**(-2\/5))**(-44)) assuming w is positive.\nAnswer: w**(-3293\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042921155 a multiple of 1933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(5\/3))*s\/(s*s**(1\/3)\/s*s)*s**(-2\/15)\/s**(-7)*(s**(-1))**(-20)\/(((s*s**(-2\/3))\/s*s)\/(s**3*s)) assuming s is positive.\nAnswer: s**(428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 998372989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -12*n**4\/7 - 2*n**3 + 36*n**2\/7 + 26*n\/7 - 12\/7 = 0?\nAnswer: -2, -1, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2811\/7496 - (1 + (-341)\/8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69687803 or 0.1?\nAnswer: 69687803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 - 3*n**2 - 3. Let o(h) = h**3 + h**2 + 1. Let l = 687 - 684. Give l*p(x) + 9*o(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18813824130 rounded to the nearest one million?\nAnswer: -18814000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1230 - 26*q + 434 + 440 to the form j + n*q and give j.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 229, 294, 383?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/11? (a) 4 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-3)\/q)**(-2\/41))**(-7)*(q**(-1)\/q)**(15\/4)*(q*q**(2\/9)*q)**(13\/5) assuming q is positive.\nAnswer: q**(-1775\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 131.118. Let j = w + -1.018. What is j rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = -5*c - 0*c, -5*o - 4*c + 6 = 0. Suppose 6*s - 3*s = -3*d - 15, -d + o*s = -1. Let x(p) = -37*p - 4. What is the tens digit of x(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -28*p**2 - 57*p + 5. Let m(t) = 9*t**2 + 20*t - 2. Let s(a) = 6*g(a) + 17*m(a). Give s(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 4. Let c be a(-3). Let t = 20 + c. Suppose -p - 8 = -3*q, 16 = 5*q - 4. Solve -x = 3*n + p*x - 18, -3*x + t = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u - 24 = 3*i, -4*i - 8 = 2*u. Let t(d) = d**3 - 4*d**2 + d - 1. Let y be t(u). Solve -4*p - 4 = y*q, -8 = -2*p - 3*q - q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, -7, -61, -3.\nAnswer: -61, -31, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/((r*r*r**(1\/4)*r)\/r)*r)\/r)\/r)\/r)\/r*r**24 assuming r is positive.\nAnswer: r**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76)*1*1 - sqrt(76)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 + 529*s\/7 - 18546\/7.\nAnswer: (s - 33)*(s + 562)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:31 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -808 + 4039\/5. What is the second smallest value in -4, -15\/7, j, -2?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 0*y + 0*y + (-13*y**2 + 0*y**2 - 18*y**2)*(2*y**2 + 0 + 0).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6464, -12923, -19380, -25835, -32288, -38739, -45188?\n\"Answer: x**2 - 6462*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(114) - (sqrt(114) - 2*sqrt(114))))\/(1*2*sqrt(6) - sqrt(6)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31353?\nAnswer: 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31263534 to the nearest integer?\nAnswer: 5591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 818801094 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 3835*v**7\/42 + 3515*v**3\/6 - 6*v + 2. What is the second derivative of d(q) wrt q?\nAnswer: 76700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/17 - -13\/51. Let w = 535.052 + -530. Let o = -0.052 + w. What is the closest to d in o, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3086*w**2 - 2937*w**2 - 39*w**4 + 38*w**4)*(4 - 1 - 4) in the form p*w**2 + x + k*w**4 + z*w + q*w**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/4 - 18\/(-24). Let k be (-6)\/(-4)*(-6)\/i. Let c(n) be the first derivative of -11*n**2\/2 + n + 1. Determine c(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) - -2 - -1. Solve u = -v + 3*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3035, 12900, 29597, 53126?\n\"Answer: 3416*r**2 - 383*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 102355. Let a be u(0). Let w = 321620 + a. Suppose w = -2*t + 5*n, 0 = 3*t + 5*n - 229663 + 865688. Round t to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3\/4 + 1745*r**2\/2 - 184275*r + 12269070 = 0. What is r?\nAnswer: 162, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1053) - ((1*sqrt(1053))**2 + 2)) + -2*2*sqrt(1053) + (3*3*(3 + sqrt(1053)))**2)*3.\nAnswer: -1529406 - 78246*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52038 and 766?\nAnswer: 19930554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 967 = f - 4*h, -5*f = -5*h - 1565. Let m = 346 - 197. Let w = f - m. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/(1\/(-3)*61\/61)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58725807 is divided by 703?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3655 - -3664. Solve 0 = -d - 1, -d - o = 4*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i\/i**(10\/9)))*i*i\/(i\/i**(-1\/16)))\/(i**(2\/23)*i\/(i**11*i)) assuming i is positive.\nAnswer: i**(42193\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93602*g**3 - 13*g**2 + 8588 wrt g?\nAnswer: 561612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.529 + -0.999. Let g = -8 + x. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -149998, -300075, -450152?\n\"Answer: -150077*x + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34564358 - -8115031?\nAnswer: -26449327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.226 + 30.16. Which is the third biggest value? (a) d (b) 4 (c) -1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 less than -0.031?\nAnswer: 32.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1 + 1 = -3*n - 23, -595 = 165*n + 4*t + 568 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1479\/9)\/29*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253935 divided by -9.\nAnswer: -28215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-7)\/(-3))*-3. Suppose m - 25*m + 9*m = 32*m. Solve m = -12*u + j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/10))\/(s\/((s**(3\/11)*s)\/s))*(s**(-1\/4))**(-2\/93) assuming s is positive.\nAnswer: s**(911\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-2)\/(-10)*2. Let y be 12\/(-3)*(-2)\/k. Suppose -a = y*a - 54. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - p = 1467 - 340, -5*p - 1510 = -4*h. What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + k + 3. Let s(p) = 9*p**2 - 3*p - 8. Let r(v) = -8*l(v) - 3*s(v). What is the second derivative of r(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, 0.2, 4913.3?\nAnswer: 4913.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2821582843 to the nearest integer?\nAnswer: 53119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 82682861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b - 4. Let v(t) = 9*t - 3. Let f(z) = -2 - 2*z - 5 - 3*z + 4. Let n be f(-2). Suppose -3*w + 2*w = 5. Give n*v(g) + w*p(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 6*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 149*c + 21778. Give q(-150).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2296616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - (0 + 0 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 9, 32, 67?\n\"Answer: 6*x**2 - 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 198\/1683*(1 - 2 - -2). What is the smallest value in -1\/4, w, 2\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 6 (c) -0.5 (d) -0.4 (e) 7.93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = t - 11816 + 11786 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 998 = 2*k, i - 2*k - 398 = 103. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3\/7 + 1552*m**2\/7 - 1524*m = 0.\nAnswer: 0, 7, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 + 5*m + 6. Let p be k(-4). Suppose 30 = 3*c - p*q - 51, 5*c - 122 = -q. Let y = c - 23. What is the lowest common multiple of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 142*p + 12 - 144*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17757222 by 291102.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.138*-5.56468\nAnswer: 0.76792584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4\/16461958)*2. Suppose 3*a = 49030979 - t. Round a to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 9. Let z = n - -9. Which is smaller: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*(-6)\/(-5). Suppose 0 = -0*p + 14*p - 504. Suppose 44 + p = -20*h. Sort h, 1, k, 0 in ascending order.\nAnswer: h, 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 4*w + 4. Let t be y(5). What is the remainder when 36*(-1 - (-15)\/t) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 25, 38, 57, 82, 113?\n\"Answer: 3*d**2 - 2*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*d**3 + 105*d**2 - 192*d - 12 = 0 for d.\nAnswer: -2, -2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6962.5 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.39 decades to months.\nAnswer: 73966.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*q - 2. Suppose -5*h + q - 1 = 0. Suppose -7*b + h*b = -45. What is the greatest common factor of b and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/148846 and 91\/2.\nAnswer: 148846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/6 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49869555 and 1.\nAnswer: 49869555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46\/5 of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from {o: 11, w: 5}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 222279938 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305273.98 rounded to the nearest one thousand?\nAnswer: 3305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 3. Suppose 56 = -4*c + 3*z - 7*z, -c - 4*z = 23. Let a be 14\/(-63) + c\/(-9). Let g(q) = 6*q + 4*q - 9*q + a. Determine -6*g(t) - 2*o(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, y: 3, w: 2}. What is prob of sequence wws?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6482 > -6483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 2*o + 6*m, 5*o + 989*m - 984*m + 34 = 104 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 + 44632*k**2 - 128844164*k + 24015552800 = 0?\nAnswer: 200, 5479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*x = 2*x + 3, -4 = -4*t - 4*x. Suppose t*j = -8*j + 8260. Suppose -2*f = -5*i + 802, -f - j = -5*i - 5*f. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 6*t**2 - 6*t + 8. Let k be (-2)\/(-4) + 78\/12. Let m be y(k). Round m to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22*w + 15. Let d(x) be the third derivative of -x**6\/120 - 7*x**5\/60 + 3*x**4\/8 - x**3\/3 + 2*x**2. Let i be d(-8). Is y(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428 (base 16) to base 7.\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2107, -7\/2, -2.\nAnswer: -2107, -7\/2, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600 divided by 46?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = -40. Let i be 124\/6 - 1\/(-3). Suppose -j = -0 - i. Calculate the highest common factor of j and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 277, 820, 1643, 2746?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.35962 - -0.12\nAnswer: -0.23962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10583*p + 21155*p - 10572*p - 2146 + 926*p**3 wrt p?\nAnswer: 2778*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:49 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 k, and 1 o when four letters picked without replacement from kkkkskowowkokkssko.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d - 5. Let h be o(-4). Let r = h - -9. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2643 divided by 5.\nAnswer: 2643\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(-2*sqrt(612) - sqrt(612)) + -3)*-1 + -5)**2.\nAnswer: -1008*sqrt(17) + 88177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 f, and 1 y when four letters picked without replacement from rffyffrfyfrfyyrff?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 545548877 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.095787 nanograms in milligrams?\nAnswer: 0.000001095787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -726230 (base 8) to base 13\nAnswer: -857a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Let u(z) be the third derivative of -17*z**5\/15 - 190*z**2. What is v(u(c))?\nAnswer: -4624*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7182924083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 22*m + 2. Let g(n) = 403*n + 1610. Let x be g(-4). Let j(p) = -1320*p - 121. Calculate x*j(y) - 121*c(y).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, -1, -2.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 1. Solve -3*m = 4*d + 3, -5*m + 2*d - l = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -4*c. Let j = c + -10. What is the remainder when 26 is divided by (2 - 3)*j + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqaj when four letters picked without replacement from pjjjwpjqa?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5409 + 5409 - 6*m. Let j(d) be the first derivative of -d**3 + 2. Calculate j(u(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)*(-52)\/(-8). Calculate the common denominator of 5\/14 and (p\/(-520))\/((-1)\/(-106)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 13*d**2 + 105*d - 22. Let l be f(4). Solve 209 = -21*s + l for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Suppose -10 = -3*g + 2. Suppose 0 = 5*n - g - 11. Let j(i) = 2*i - 2. Determine n*j(b) + 4*h(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 5, -56\/9, 122, -0.2 in decreasing order.\nAnswer: 122, 5, 3, -0.2, -0.3, -56\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 4312. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873 and 2134.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 298 - 303 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37370 and -12.6009.\nAnswer: 37357.3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23545000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 13*o**3 - 5*o**2 + 2*o**2.\nAnswer: 13*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8185, 6069, 3953, 1837, -279?\nAnswer: -2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = -6*w + 169 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-261)\/812)\/((-2)\/(-14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16544 and 160?\nAnswer: 82720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5022 (base 6) to base 10.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 133391184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 - 29*h**2 + 23*h - 66. Calculate s(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35852430.\nAnswer: 2, 3, 5, 19, 31, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -67*a + 368. What are the prime factors of n(-12)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*1*-10. Suppose -5*w + s + 0 = l, 4*w = l + 21. Let o be (-2 + -1)*w\/(-3). Solve -4 = 2*h + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Suppose 0 = c*g - 3, 3*j - 4*g - 7 = -5*g. Let y(m) = 3*m. Let q be y(3). Solve -q = -3*u, j*s + 0*u - 17 = -3*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 + 5*r. Let h be q(-5). Suppose -45 = -h*y + 5*y. Let o(n) = n**3 + 10*n**2 + 10*n + 6. Let m be o(y). Are m and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, 1 h, and 1 o when four letters picked without replacement from {a: 1, z: 1, o: 2, h: 3, q: 2, w: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + p + 8*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 11*s - 2*s**2 + 26 - 61*s - 34 + 12 as z + g*s**2 + q*s and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6))**(4\/3)*s\/(s\/(s*s**(-1)))*s**9 assuming s is positive.\nAnswer: s**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 - 13*s - 7. Is d(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 494, 1, 25, 0, -98 in ascending order.\nAnswer: -98, 0, 1, 25, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3812, 14, 5, -0.1, 15, -2.7.\nAnswer: -2.7, -0.1, 0.3812, 5, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0 + 0)*(0*x + 2*x - x) + (6*x - 6*x - 2*x**2)*(2*x + 0 + 0).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -939, 79, -2407 in ascending order.\nAnswer: -2407, -939, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1537, 3096, 4647, 6190?\nAnswer: 7725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 236708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 37.1. Let n = 216.4 - 171. Let f = d + n. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*r**5 + 112*r**5 + 154*r**5)*(-3 + 6 - 1).\nAnswer: 314*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5. Suppose -b - 5*a = -10, -17 = -0*b - 4*b + 3*a. Suppose 2*k - 31 = -b*x, 10 = x + x. Suppose -c = -k*c. Give i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3 (c) 1\/5 (d) 2\/7 (e) -0.0154 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1ca79b?\nAnswer: 1ca797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*s**3 + (-s**2 + s**2 - 2*s**2)*(-3*s + 3 - 3) - s**3 - 2*s**3 + 2*s**3 - 11*s + 22*s - 8*s + 5*s**3.\nAnswer: 7*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from {u: 4, k: 2, p: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10658, -10660, -10662, -10664?\n\"Answer: -2*w - 10656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4385 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 440447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -43. Let b(s) = -44*s**2 - 2*s. Let i be b(2). Let x = i + 305. What is the highest common factor of x and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10*w - 7*w - 2, 37 = -5*d + 3*w. Which is the closest to -2? (a) 0.4 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:11 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((1530\/51)\/90)\/(0 - (-1)\/1083) is divided by 81.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Let c(j) = -8*j + 66. Give -c(l) - 10*p(l).\nAnswer: -2*l - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 6:51 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (sqrt(700) - (4 + sqrt(700)*-2)))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -17*h + 91. Which is the closest to -1\/2? (a) 2\/5 (b) h (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315831, -315830, -315829?\nAnswer: -315828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkkk. What is prob of sequence krrk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 15 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 9*v**2\/2 + 9. Let t(a) be the third derivative of 5*a**4\/24 + a**2. What is 4*g(m) - 7*t(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-552)\/(-414)*(6\/2 + 0). Suppose 4*r - 2*r - 288 = v, -5*v - r = 1495. Put o, v, 1 in descending order.\nAnswer: o, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.71 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 12) to base 8.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2976.1259 - -2976. Let a = u - -0.0366. What is a rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 + 9*w - 1. Let k be z(-4). Which is the third smallest value? (a) -2 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15419*m + 1952 - 3880 + 1928 in the form y*m + p and give y.\nAnswer: -15419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243634*h**3*j**3 + 2*h**3*j + h**2*j**3 + 12*h**2*j + 2*h*j - 12*j**3 + 2*j**2 wrt h?\nAnswer: 1461804*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 25245 = -343*i - 60*i - 79*i for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196 + 207. Suppose -7*a = -17 - g. What is the third smallest value in -11, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.4 (c) -176 (d) -3\/25 (e) 8\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5315 is divided by 172?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -201101121 (base 4) in base 6?\nAnswer: -2530533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5190 + 5190 - 3762*i to c + f*i and give f.\nAnswer: -3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 420871039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -780295*a**3*x**2 + 2*a**2*x**2 - a**2 + 3*a*x - 37*x**2 - 206*x wrt a.\nAnswer: -4681770*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27506 divided by 2?\nAnswer: -13753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239 or -148046?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31454 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 88*p - 143. Calculate h(78).\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 14. Which is the smallest value? (a) 0.34 (b) 5 (c) 2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*u + 24*u**2 + 524*u + 525*u - 1486*u - 89*u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 15, -0.3, -9\/7 in descending order.\nAnswer: 15, -0.3, -9\/7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 649*q - 652*q + 6 = 0, -2 = 3*p - 5*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12361.\nAnswer: 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18.103 times -732\nAnswer: 13251.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -481353 and -481353 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2*n. Suppose 3*q - 12 = -q. Let l be t(q). Let x(o) = o. Let s be x(0). Which is the closest to 2\/5? (a) 0.3 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 134*b**2 + 21*b - 59. Give a(2).\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/(61152\/56))\/(2\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b - 15. Let f(v) = 4*v**2 + 10*v - 46. Let i(z) = 7*a(z) - 2*f(z). What is the remainder when 19 is divided by i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 352818*i + 4587141.\nAnswer: -3*(i - 13)*(i + 117619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2345 and 871?\nAnswer: 30485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40030 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:10 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 5456*j**2 - 16404*j.\nAnswer: 4*j*(j - 1367)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42943+-9321.94338\nAnswer: 33621.05662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 + 6*t**2 - t - 12. Is m(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 45326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 + -26.25. Let u = 9.1647 + -9.2647. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {i: 11, b: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -25. Is -21 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 43 = -21. Suppose -n*m + 25 = -7. Let u be (-1)\/(-36) + 6\/(-24). Is u at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2524739 - 1639739. Suppose -11*k + 14*k = -p. What is k rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25*c - 194 + 390 - 176. Let q be j(0). Solve 0 = 4*m + q, i + 0*i - 2*m - 14 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*b - 1311*b - 982*b.\nAnswer: -2690*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-105))\/(2 + (-4)\/3). Which is the closest to -3\/4? (a) 5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - -4 - 47) + (-15 - -17)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/((-3)\/18). Suppose 3*l = -12, 0 = -2*o + f*o + 3*l - 9. Calculate the common denominator of 40\/7 and -3*(-3)\/((-99)\/o).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p + 6*p - 10*p + (-3*p + 0*p + 2*p)*(2 - 3 + 0).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and 295?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 7 (c) 1\/12 (d) 4 (e) -1.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27 - 0.13. Let w = -24 - -23. Sort 4, k, w in decreasing order.\nAnswer: 4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -4*c, 5 + 6 = 3*c - 4*g. Let z(o) = o**3 - 32*o**2 + 62*o - 57. Let j be z(30). Sort -3, j, c in decreasing order.\nAnswer: j, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2158 or 37511?\nAnswer: 2158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**6\/30 - 302*w**4\/3 - 863*w**2\/2 - 137*w - 2. Differentiate f(q) wrt q.\nAnswer: -4*q**3 - 2416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -59. Suppose 1 - p = -x. Solve 0 + 0*w**2 + 0*w - 2\/3*w**5 - 8\/3*w**x - 8\/3*w**3 = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25*t*t**5)\/(t**(-6))**26 assuming t is positive.\nAnswer: t**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - 11701311\/(-1265616)) + 2\/17. Let z = v + 1\/2256. What is the common denominator of z and (-276)\/(-63) + (-1 - 2)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 888 + -890. Which is the closest to 1? (a) 1\/9 (b) q (c) 0.4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3 - 21. Find the common denominator of -69\/2 and 30\/(-8)*40\/y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (113491\/(-14))\/(-31)*958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1062 and 2242?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*k**6 + 45293*k**4 - 2*k**3 + 1687605*k**2?\nAnswer: -2160*k**3 + 1087032*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 2. Let j(x) = 3*x - 6. Determine 4*j(b) + 11*u(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c - 14*c + 1 + 2*c. Let n(b) = 7*b + 1. Calculate -n(j) + 5*t(j).\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15821*i**4 - 1397*i**5 - 15821*i**4 - 632*i**2 + 3472*i**2 + 2*i**3 + 2*i wrt i?\nAnswer: -83820*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67923665.9 to the nearest 1000.\nAnswer: 67924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -41*a**3 - 10332*a**2 - 60*a - 15126. What is k(-252)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let i(z) be the third derivative of 0*z**3 + 0*z - 36*z**2 + 0 - 1\/24*z**4. Determine i(c(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose 5*o - 15*o + 40 = 0. Solve 4*x = -o*a, j*a - 1 - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8948*c - 11690 = -9518*c + 21330 + 24550 for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1\/12*x**4 + 0 + 0*x**3 + 0*x - 1\/30*x**5 - 4*x**2. What is f in z(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -463*j + 466*j + 2*f, 3*f - 2 = 4*j. Let m(p) = 9*p + 1. Determine m(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34.58 and -0.82687?\nAnswer: 33.75313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 135227?\nAnswer: 13524c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h. Let y(d) = -2*d + 3. Let a(p) = 0*p + 2*p - p + 1 - 2*p. Let z(u) = -3*a(u) + y(u). Calculate j(z(f)).\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.04, -6, -0.0257, 0, -36 in decreasing order.\nAnswer: 3, 0, -0.0257, -0.04, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - (8 - 8)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -20, 4, 38?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46620 and 540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 4*b)*(4954 + 6 + 6322 - 980 - 1512).\nAnswer: -8790*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = -3*d, 0 = d - 4*d - 4*x - 3. Suppose y = 2 + d. Suppose -3*w - y = -4*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885753 is divided by 1189.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -5*x + 182. Suppose -7*j + 9*j = 6, -5*m = -4*j + x. Solve m = -2*n - 6, o = 6*o + 2*n + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*o - 7*o - 6 = 0, 13 = 2*m - 3*o. Let k(w) = -w**2 - 1. Let s(g) = -4*g**2 - 4. Give m*s(l) + 6*k(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q - 86*q - 66*q.\nAnswer: -118*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*q + 41*q - 166*q + 4*q to the form z*q + x and give z.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 13. Let k(u) = -u**3 + 4*u**2 + 5*u + 7. List the prime factors of k(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(-2)*5. Suppose -2*u + 8 = -2*l + l, l = -d*u + 12. Differentiate 2*f**l - f**2 - 33 + 30 with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 485.79597 minutes?\nAnswer: 0.3373583125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2389*21\nAnswer: -50169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 802934300 to the nearest one million.\nAnswer: 803000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419\/5 + -239\/3. What is the common denominator of ((-2)\/(-54)*3)\/((-8)\/1644) and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 - 55*v + 1. Let i be q(12). What is the highest common divisor of 13847 and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.9 + -13.9. Let l(x) = -x**2 + 4*x + 3. Let d be l(3). Suppose d = b - 3*h, -5*b - 3*h - 2 = 4. What is the closest to b in -1, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29037690 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - (0\/(-2) - 39) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 71.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*((-1 + 0 + 0)*(1 + 2 - 5) - 1 + 3 - 1)*(5*m**3 - 56*m**2 + 56*m**2).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 6*c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110606 or 110593?\nAnswer: 110606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2 - 2 + (-1327 - 1540 + 4010)*(a + 5 - 5))*(3 - 3 + 2*a).\nAnswer: 2290*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 90. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddx when three letters picked without replacement from {d: 2, c: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 - -423. Sort p, 2\/19, -0.2, -0.5 in ascending order.\nAnswer: -0.5, -0.2, 2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485, -80, 434 in descending order.\nAnswer: 485, 434, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43915381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 - -249. Let s = 117 - u. Suppose s = 13*i - 8*i. Solve b + i = -4*z, -5*b - z + 2 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2 - 3277*c - 17119 wrt c.\nAnswer: 4*c - 3277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, and 1 i when three letters picked without replacement from iijidwdwiwjikjjiiii.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*u + 27 - 7 = 0, -i - 2*i - 70*u - 584 + 92 = -28*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(156)\/(sqrt(24)\/sqrt(4)))\/(4*sqrt(288) - sqrt(288)))**2.\nAnswer: 13\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*j + j. Calculate the remainder when (82\/1)\/(-2 - -4) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149355, 149354, 149353?\n\"Answer: -r + 149356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-36)*2*(-16)\/8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13118 + 3*m - 13114 + 9*m. What is the hundreds digit of z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 680*m**3 + 42*m**2 - 69141*m wrt m.\nAnswer: 4080*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011585386 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/25 (b) -2\/7 (c) -418 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d - 79. Let q be z(-9). What is the highest common factor of 783 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8220.0625 + -0.2?\nAnswer: 8219.8625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -28*a + 37. Is x(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) -2930 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3542\/(-184))\/(6*119\/816).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a934 - -4?\nAnswer: -a930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 24*f + 11. Let m(r) be the first derivative of 4*r**2 + 4*r + 1374. What is 4*b(o) - 11*m(o)?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l + 871 = 551 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-20)*2 + 6\/15. Let h(a) be the first derivative of -1\/5*a**3 - 4 + z*a**2 - 6\/5*a. Factor h(c).\nAnswer: -3*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 3*x + 3*x + 2*x + 2 - 2 + (7*x - x - 4*x)*(-3 + 4 - 3) - 3 - x + 3 - 3 + 3 - x - 3*x - 3*x + 4*x - 2*x + 1 - 1.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 577 + -579. What is the hundreds digit of j\/(-4) + 7*(-2856)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/133, 0.01, -30\/29 in descending order.\nAnswer: 0.01, 1\/133, -30\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/1*(-4)\/10. Suppose -4*o + 16 = 2*y, 5*y - 8 = l. Solve 6 = -3*s + o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/(176\/(-30)))\/((-11)\/(-88)). Let p = 0.9 - -0.1. What is the nearest to p in w, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3725260 and 499730.\nAnswer: 40977860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25130 and 21770?\nAnswer: 7815430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*g**3 + 2*g**2 + g - 328 wrt g.\nAnswer: 2136*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i + 3. Suppose 15*k - 19*k = -24. Let f be n(k). Let l be f\/(-9)*-1 + 4\/12. Solve l*y = 3*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x**3 + x**2 + x. Let t be ((-8)\/6)\/(2\/(-15)). Suppose -3*y - 6 = -4*k + 1, -5*y = -5*k + t. Calculate the remainder when 50 is divided by h(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-6 + 12 - 17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5860913 is divided by 488409.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2. Let q(j) = 3*j - 676 + 676. What is q(v(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 12. Suppose -3*q + 8*q + j*m = 796, q - 2*m = 162. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 607?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h**2 - 228*h + 120. Let g be v(-29). Solve 19 = -g*n + 4*m - 9, -3*n = -5*m + 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 36. Let u = -3870 + 3862. What is t(u)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -323?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -72\/19, -0.2, 1, -2, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:22 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -183, -415, -741, -1161?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 505.\nAnswer: -5, 7, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -638, -5429, -18414, -43685, -85334, -147453, -234134, -349469?\n\"Answer: -682*u**3 - 5*u**2 - 2*u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(-40*t - 74*t**3 - 67*t**3 + 139*t**3) to s + n*t**2 + c*t**3 + p*t and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.616 times -9647\nAnswer: 15589.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k. Suppose p = 59 + 61. Suppose -o = o, p = -5*n - o. Let h be (5\/(-20)*2)\/(2\/n). Determine d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 45 + 11 = 0. Is h greater than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 - 217 + 985*h**2 - 222 - 255*h**2.\nAnswer: 730*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*j + 9 = -219*j. Suppose j*r = 22*f - 17*f + 17, f - 11 = -3*r. Let a be -3 + 1 + 248\/123. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 873807099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0354 + -93635063?\nAnswer: -93635063.0354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142142510.\nAnswer: 2, 5, 67, 353, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 71 = -j + 5*h, -5*j - 3*h + 355 = 0. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1256055\/6*404\/5. Suppose -d = 2*t + 11885126. What is t rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2353 + -1235?\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*v + 10, 4*v + 3*u - 4*u - 7 = 0. Let l be (v - 1) + (61 - -56). Is l less than or equal to 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*n = 7*n + 1212, 4*t - 5*n - 2428 = 0. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 0.4, -39, -3, -2.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33331\/5688 + -70\/711. Calculate the common denominator of q and 40\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*l + 50 = 1232*l - 26 - 35 for l.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6435 and -77?\nAnswer: -495495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161621\/22 + -7344. What is the common denominator of v and -65\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 - -13 - (-4)\/1. Let r(u) = -u - 2*u**2 + u**2 + 2*u. Let q be r(j). Let n(f) = f**2 + f + 2. Calculate n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2919.4068 milliseconds to minutes.\nAnswer: 0.04865678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*q + 48, -19*j = q - 18*j + 16. Let p be (-24)\/((-2)\/q + 77\/(-336)). Which is smaller: p or 385?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*56\/(-12)*13\/260*-5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12288 and 1632.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -776\/11327 or -1?\nAnswer: -776\/11327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 41*h**2 + 77*h - 47. Let o be -7 - 16\/24*48. What is n(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375367.\nAnswer: 7, 61, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 763762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 168 + 183 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 12*c = -168. Suppose -21600004 = -h - a, 2*h = -2*a + c*a + 43199984. Round h to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1212991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1573 - 25149\/16. Is a less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 19*c - 1 = 17*c, -6 = -3*a + 3*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -53850, -0.2 in decreasing order.\nAnswer: 10, -0.2, -53850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76003928 divided by 19000982?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/22 - -2)*(-196)\/(-147)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + -2 + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) + (-7 - 204\/(-30)). Suppose -x = -n + 3*n - 811, 4*n + 5*x - 1619 = u. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q**2 - 27494*q - 1208207?\nAnswer: 10*q - 27494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7345*g - 44050. Calculate h(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 473 - 2?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + -1 + sqrt(17) - (-5 + sqrt(153) + sqrt(17))) + sqrt(85)\/(sqrt(5) - sqrt(45)*-2)) + 0.\nAnswer: -100*sqrt(17)\/7 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/12 - r**4\/12 + 2*r**3\/3 + 4957*r**2. Let u(n) = -n**2 + n - 1. Determine -b(s) - 3*u(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 140257 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301 - 5*c**3 + 150 + 151.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -12 - (-5 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51826 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 60 = -11*g. Calculate the remainder when 97 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.07 + 0.07. Sort 5, v, 0.01 in descending order.\nAnswer: 5, 0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/152 + 311\/1064. Factor -2\/7*b**2 + v*b + 0.\nAnswer: -2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**3*u**2 - 2*t**3*u - 4765*t**3 - 5186*t**2*u**2 - 42*t*u**2 + u**2 + u + 10 wrt u.\nAnswer: 2*t**3 - 10372*t**2 - 84*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.23 - -82. What is j rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9.1. Let h = 1.6 - 8.6. Let z = 7.3 + h. Which is the second biggest value? (a) z (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1253*f + 1959*f - 4765*f)*(2 - 5 + 4) to the form d*f + u and give d.\nAnswer: -1553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0283362 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1372940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 10 = 14*h. Suppose -4846 = -2*l + 3*s, -6072 + 1222 = -h*l + 4*s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 113 + 1001 = 0. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/16*((-16)\/(-6))\/(126\/1449).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2496 and 73\/234.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 6. Suppose -112 = -7*z - 91. Solve 0 = z*c - 6*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-6)*(-12)\/(-9). Suppose -4*l = 8, l + 2 = 5*t - 15. What is the smallest value in t, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -100. Which is smaller: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 118007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 9937 = 2*u - 2427, 3*u - 18562 = y. List the prime factors of u.\nAnswer: 2, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0) + 3821\/(-3325). Let j = -3\/475 - i. Let v = 4\/21 + j. Which is the nearest to 2\/5? (a) v (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20016*d**3 - 19981*d**2 - 6*d + 1. What is s(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17394, 17380, 17340, 17262, 17134, 16944?\n\"Answer: -2*i**3 - i**2 + 3*i + 17394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(3465\/605)*(-1)\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45358 plus 0?\nAnswer: 45358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 - 934*b**2\/3 + 8392*b\/9 - 1864\/3.\nAnswer: 2*(b - 1398)*(b - 2)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -49*t + 7. Let z be x(-6). Let v = -203 + z. Let d(g) = -8*g + 33. Calculate the remainder when v is divided by d(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*x + 15. Suppose x*h - 1349997 = -5*y - 0*h, 5*y + 2*h = 1349998. What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18345, 18414, 18611, 19002, 19653?\n\"Answer: 11*p**3 - 2*p**2 - 2*p + 18338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0659598629626 and -20?\nAnswer: 19.9340401370374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -7*z**4\/6 - 5*z**3 + 12*z**2 + z - 25. Let l(g) = -g**2 - g. Let b(s) = -10*l(s) + x(s). Factor b(a).\nAnswer: -4*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724*f + 776*f - 3432 = 0. Solve -18*j = 48*j + f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/11 - 4*p**2 + 2*p\/11 + 4 = 0. What is p?\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1*(2 + -4)). Let u(v) = v**2 + 18. Is u(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 - 4*w + 3. Calculate q(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -62, -0.5, 3 in decreasing order.\nAnswer: 3, 2, 0, -0.5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*h + 15, 3*h - 9*p - 24 = -4*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-3))\/(16\/(-24)). Let y = -4 - x. What is the remainder when 26 is divided by (-114)\/y - 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -11 in descending order.\nAnswer: 5, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1279\/147 + -410\/49. Let f(n) be the third derivative of 0*n + p*n**4 + 0*n**3 + 21*n**2 + 0 - 1\/45*n**5. Find u such that f(u) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-8 - 12)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1464*q + 116980 + 67061 = 4545*q + 2496*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54\/23 + -694\/253. Let o(d) = -d + 8. Let k be o(7). Calculate the common denominator of 0 - k*(-12)\/(-10) and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*n + 173 + 42 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -t + 13, 4*v - 3*t = -7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75358 or 12?\nAnswer: 75358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 28*t + 12. Let g(m) = m**2. Let l(k) = -2*g(k) + x(k). Let a(h) = -h**2 + 19*h - 8. Let b(q) = -7*a(q) - 5*l(q). Factor b(d).\nAnswer: (d + 4)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*j**3 + 1 + 2*j + 22*j**3 + 9*j**3 as u + m*j**2 + z*j**3 + f*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + k**3 - k**3 - 6*k**3 + 4953.\nAnswer: -4*k**3 + 4953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5\/3)\/((-24)\/360). Let y be (-164)\/(-8) + s + 3\/(-2). Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Let o = 0.31 + 0.09. What is the third biggest value in o, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + w**5 - 3*w**5 + (-2*w + 4*w + 0*w)*(-2*w**4 - 4 + 4) + 3*w**5 - 3*w**5 + w**5 - 1324*w**5 + 2527*w**5 + 4102*w**5.\nAnswer: 5303*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 22*i**2 - 14*i**2 + 322 - i - 6*i**2 to k*i**2 + z + a*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert a492 (base 14) to base 10.\nAnswer: 28352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.9 + 11.7. What is the second biggest value in -2, 5, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -13910139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2401.8 or 2?\nAnswer: -2401.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23946, 94557, 212236, 376977, 588774, 847621, 1153512, 1506441?\n\"Answer: -v**3 + 23540*v**2 - 2*v + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1068 - 962 - (33 + -6 - 6).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28794 and 312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1555527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -19, -0.7, -2\/9, 4, -0.75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1360, -1308, -1216, -1066, -840, -520, -88, 474?\n\"Answer: 3*r**3 + 2*r**2 + 25*r - 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 254?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 210*o + 4138. Calculate v(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2*m**3\/3 + 192. What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q + 152 + q + 83 - 4*q wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -457.3 + 456.3. Which is the third smallest value? (a) 1 (b) 2\/17 (c) -4.4 (d) q (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1917, -2337, -3021, -3969, -5181, -6657?\nAnswer: -8397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.176?\nAnswer: -0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3))**(18\/7) assuming z is positive.\nAnswer: z**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.3 bigger than -2.5442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17038 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 6, 5, 38, 7902 in decreasing order.\nAnswer: 7902, 38, 6, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2114 is divided by 345?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + t**2 - t - 2. Let z be x(-1). Suppose -10 = -0*n + 2*n, 0 = z*v - 3*n - 163. Calculate the remainder when v is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11764986 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56333076.\nAnswer: 2, 3, 31, 151433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 876*t**2 + 5*t + 18. Let j(w) = 1753*w**2 + 11*w + 39. Give 6*j(o) - 13*y(o).\nAnswer: -870*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.8 - 33.7. Let w = b + 14.89866. Round w to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.86704 to 1 decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, l: 2}. Give prob of sequence ggll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -857763338.\nAnswer: -857763330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424760 and 175.\nAnswer: 2123800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-407970)\/95193*56\/10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55873)\/(-18) - (4 + -1). Let t = -3108 + b. What is the common denominator of 61\/22 and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0 + l + 6*l + 5 - 6*l. Let q be p(-5). Which is greater: 11 or q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -22493971.\nAnswer: 44987942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/177)\/(144\/(-54)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**4 + w**3 - 2. Let z(a) = 3404*a**4 - 6*a**3 - a**2 + 51*a + 12. Let t(p) = 6*u(p) + z(p). Find the third derivative of t(b) wrt b.\nAnswer: 82128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 + 11*q - 15. Let i(o) = 5 - 19*o**2 - 4*o - 22*o**2 + 39*o**2. Let w(r) = 7*i(r) + 2*j(r). Determine w(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -204*l**3 + 44*l**2 - l - 6. Let u(p) = -p**2 - 2. Let b(v) = -s(v) + 3*u(v). Find the third derivative of b(q) wrt q.\nAnswer: 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 1303 = -58*b. Solve -93*o - b = -86*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727017416 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose f = -t*f + 625. What is the highest common divisor of 50 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 >= -198\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019705 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*n = 18, 2*n + 11 = 5*c - 0*n. Suppose -2*h + 12 = c*m, 5*h + 12 = m + 2*m. Solve -2*x = m + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/168 and 13\/102340?\nAnswer: 614040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 7, o: 2, e: 4, c: 1}. Give prob of sequence bq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000116746743 rounded to 7 decimal places?\nAnswer: 0.0001167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.67 times -0.34\nAnswer: -0.9078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -18. Solve w = -4*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503083410 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-42 - -43) + -11 + 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpc when three letters picked without replacement from cvvwccccpwvwwccwcwx?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876425 is divided by 5443.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 30\/158407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10639216*j**3 - 16559630*j**2 wrt j.\nAnswer: 63835296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u - 112. Let s be q(-31). Let i = s + -26. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 24*w**2 + 6*w - 7. Calculate t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -10)*(1 + 20\/(-12)). Let r(j) = j**3 + 7*j**2 + 7*j + 3. Calculate r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + sqrt(96) + -2*sqrt(96) + sqrt(96))\/sqrt(8).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 425 and 34.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axq when three letters picked without replacement from {a: 4, n: 3, q: 1, g: 1, x: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 250 = -h. Suppose h = 12*k - 7*k. Calculate the common denominator of -5 + 3 + (-61)\/k and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4541)\/49951 + 1*398\/(-462).\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*j = 17, z - 5*j + 17 = 8. Let g = 9 - 9.8. Let v = g + 0.3. What is the third biggest value in v, 1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -222\/5 (b) -1\/2 (c) 0.1 (d) 5 (e) 2\/5 (f) 77 (g) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*g - 2146*g + 168381 = 572*g for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.127231 times 1.07\nAnswer: -0.13613717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.2447?\nAnswer: 0.04894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 - 7*g - 9*g**3 + 0*g**3 + 3 - 14*g + 0 in the form d*g**3 + q + w*g**2 + p*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*r - 120*r = 40. Suppose r*t - 7*t - 342 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 36*k - 1. Let d be p(-5). Let n = -36 - d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (355\/(-1562))\/((6\/(-4))\/3)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 118.456\nAnswer: 236.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 460\/(-840) - -2*5\/12. What is the closest to 0 in -0.3, -44, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-134)\/201)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3316*z + 2. Let a(i) = 5176*i + 1. Calculate g(a(q)).\nAnswer: -17163616*q - 3314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 28*d**3 - 3*d**2 - d - 4. Suppose 3*s - 57 = 24. Let y be 8\/36 - 114\/s. Let v be g(y). Round v to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1089*j**2 + 4444*j wrt j.\nAnswer: 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w + 53. Suppose -2*z + 71 = -w. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55405667 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 5.99. Let m = j - -11. Let x = -4.999956 + m. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 244? (a) 5 (b) -0.3 (c) 0.114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 78. Suppose -15*x + 66 + t = 0. Let u(h) = h**2 - 6*h + 5. What is u(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 8 = 8*u. Let f be (20\/(-6))\/(7\/(42\/u)). Let g = f - -66. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + x - 184 = 0, -4*p - 2*x - x + 732 = 0. Let k be (p\/(-35))\/(-3)*42. Is (-1)\/(-4 - (-285)\/k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:06 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/16)\/(6\/4). Let b = 7 + -5. Suppose -4*y - 12 = 4*p, 7*p + 10 = b*p. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01631 - -2.01631. What is the nearest to 21 in p, -1.4, -1, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -279*i + 15*i + 484*i**2 + 184 - 148 = 0. What is i?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**2 + 14*b - 34008 - 5*b**2 + 34006.\nAnswer: -27*b**2 + 14*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*m**2 - 3*m**2 + 3*m**2 + (4*m - 3*m - 3*m)*(-6 + 9 + 4 + 6*m).\nAnswer: 3*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - 40\/15. Let k be n\/7 - (-76)\/14. Is (-12)\/(-20) + 312\/k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 + -123?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:10 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, i: 3, t: 4}. What is prob of sequence itp?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-2)*8\/100. Factor -l*c - 2\/5*c**2 - 4\/5.\nAnswer: -2*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mye when three letters picked without replacement from {m: 1, y: 1, g: 1, r: 3, x: 1, e: 5}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (148\/185)\/(2*6\/(-20))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -3, 4, 1, -2, -20 in decreasing order.\nAnswer: 4, 1, -2, -3, -20, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and 0.046534?\nAnswer: 0.1721758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 45.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1232050*b**4 + 1553529 wrt b.\nAnswer: 4928200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 13, -6, -59, -158, -315?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701\/288 + 173\/32. Find the common denominator of -73\/66 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2. Let x(b) = 6*b**2. Let y(l) = 2*q(l) - 3*x(l). Let n(f) = -f**2 + 2*f**2 + 2*f**2. Calculate n(y(u)).\nAnswer: 192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4 + 1078408*i**3 + 1445578448*i**2?\nAnswer: -24*i + 6470448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-16)*2*(-8)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + y**4)*(-1 - 307 - 148).\nAnswer: -456*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/9*57\/152?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9275*l**4 - 42090*l**2.\nAnswer: 222600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2, -3*h + 35 = 6310*o - 6326*o for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26072711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from cgwwnwawmwcanaa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 105430740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12271*m - 28. Let y(f) = -4*f. What is y(g(w))?\nAnswer: 49084*w + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/13 - 8080*r\/13 + 3047198\/13 = 0.\nAnswer: 421, 3619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-10 - 46) - -37.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 94 + 18. Solve j*t + 21 - 1 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.037 - -3.737. What is the nearest to n in 0.2, 4\/13, -4?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72646338 and 36.\nAnswer: 435878028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g + 6*g**2 - 2 - 17*g**2 + 9*g**2.\nAnswer: -2*g**2 - 76*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 - 63*j. Let u(h) = 47*h**2. What is u(b(n))?\nAnswer: 47*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose -3*d + 12 = d. Find the third derivative of 2*g**3 - 2*g**d + 3*g**2 + v*g**3 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/24 and 76\/3304191.\nAnswer: 26433528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -55520 at most 156\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 3977 = 52*u + 69*u for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12357.11266144 + -6?\nAnswer: 12351.11266144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -353, -347, -345?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 11*o - 5. Let n(a) = a**2 + 4*a + 2. Suppose -3*z + 33 = -0*z. Let b(l) = z*n(l) + 4*k(l). What is the first derivative of b(s) wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 35, 27, 21, 17, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4334769 and 21288.\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185061*u**5 - 91*u**4 - 11*u**2 + 1346320*u + 1?\nAnswer: -11103660*u**2 - 2184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54145 and 273?\nAnswer: 162435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8*b - 10 = 0. Let s(y) = y + 3. Give s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/20)\/((-360)\/(-640)))\/((-12)\/(-20))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 106 = 3*a, 2*a + 3*n = 7*n + 76. Calculate the common denominator of (-8)\/18*a\/4 and -91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -936, -1248, -1562, -1878?\nAnswer: -2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -613953 at most -1227903\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/10 - o**4\/6 - o**3\/6 + 6*o. Let z be a(-2). Is 25 a factor of (-5)\/z*((-188 - 2) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18168920 divided by -133595?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 32 + 3*x - 9\/2*x**2 - 1\/12*x**4 + 1\/2*x**3. Calculate r(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336.4 - 336. Which is the closest to 2\/3? (a) 4\/3 (b) -11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 12*m + 20. Calculate a(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(243) + 1 + sqrt(243)*1 + 1)**2 + 0 + 3.\nAnswer: 72*sqrt(3) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 50*x**2 - x. Give g(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 27*s - 255. Let n be (4\/1)\/2 + -30. What is the remainder when 2 + (-2*1 - n) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84339215 or 590374510\/7?\nAnswer: 590374510\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5 + 11. Let m be (0\/6)\/(a\/(-2)). Suppose m = -4*i + 54 + 6. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/66 and 32\/231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.4 - 7. Let c = -55 + 49.8. Let s = c + 5. What is the second biggest value in 3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1711617 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 63*i + 28. Let n be b(-42). Let t be (753 - 3)*n\/(-21). Round t to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**2 + 146*q**2 + 101*q**2 - 46*q**2.\nAnswer: 248*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose p = 5*w - 0*w - 15. Suppose 10 = w*m + 1. Solve 25 = 2*z + m*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 111.4. Let k = -110.0059 + c. What is k rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -802.26 + 793. Let s = g + 9.2. Which is the nearest to -0.05? (a) s (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.5 * -0.2.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -9*c**6\/40 - c**5\/30 + c**3\/6 - 9*c**2. What is the remainder when d(-1) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131243, 131237, 131231?\nAnswer: 131225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41127548 is divided by 14657.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*a = 37, a - 1 = -0. Suppose 9 = m - r, 2*m - 2*r = -w*r - 3. What is the smallest common multiple of m and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*w**3 - 21*l**2*w + 2*l**2 + 4709*l*w**3 - 52*w wrt w?\nAnswer: -18*l**2*w + 28254*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*-6*sqrt(192)\/sqrt(4))\/(-1*sqrt(324)*-1))**2.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-10)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 2706.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -146 and 33473.\nAnswer: -4887058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 14*p**2 - 3*p**2 - 13*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, 1\/4, -1, 18\/13, -1\/5 in increasing order.\nAnswer: -1, -1\/5, 1\/4, 1, 18\/13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32185 and 2501.\nAnswer: 1963285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1720966741 to the nearest integer?\nAnswer: 41485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.56317816 to four dps.\nAnswer: -1.5632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-6*-2*(sqrt(130)*-2 - sqrt(130))*1)\/(sqrt(90)*3 + 3*sqrt(10)*-5))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -78.5, -0.5, 1\/7, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9533927 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5063448 and 56.\nAnswer: 35444136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-22 + 24)*7091 - 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67602143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 964099 and 20937?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r**6 - 2*r**3 - 5*r**2 - 2. Let d(k) = -11*k**6 + 3*k**3 + 4*k**2 + 3. Let z(c) = 2*d(c) + 3*f(c). Find the third derivative of z(y) wrt y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**0\/o)\/o))*o)**28*o**(-6)*o**(4\/5)*((o\/((o**5\/o)\/o))\/(o**4*o))**(9\/4) assuming o is positive.\nAnswer: o**(-979\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29149436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870247502493 take away -48?\nAnswer: -1870247502445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4 + a**3\/3 - a**2\/2 + 5. Let f be r(1). Solve 0 = -f*p + 3*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 5*u**2 + 7*u + 8. Let l be n(-6). Suppose 5*g + 3*j - l*j = 69, 5*j - 85 = -5*g. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*g - 20, -12 = -4*g - 2*r + 36. Let j = g + -11. Factor -6*w**4 - 4*w**3 - 2*w**5 - 6*w**2 - 2*w**j + 4*w**2.\nAnswer: -2*w**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*p = 113*p - 18 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.97423l to millilitres.\nAnswer: 30974.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -873 divided by -318664\nAnswer: 873\/318664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-75)*5)\/(4\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 623 - 626 - 32*f - 30*f as n*f + l and give n.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*n**2*t**3 + n**2*t + 39186*n**2 - 69*n*t**2 - 14275*t**3 wrt n.\nAnswer: -96*t**3 + 2*t + 78372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51, -119, -187, -255?\n\"Answer: -68*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -1 + sqrt(637))**2 + (sqrt(156)\/sqrt(108) + sqrt(13) - sqrt(13)) + -2 + 5 + 0.\nAnswer: -83*sqrt(13)\/3 + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -13*h + 8*h. Solve 2*d + h = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 565 = -5*x - 500, 0 = -2*w + 5*x + 2105. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*a**2 + 20 + 164*a**2 - 20 - 83*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -23*a**4\/24 - a**3\/6 + a**2. Let r = 1275 - 1274. Give u(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a century in decades?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9527384 is divided by 4576?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33930 and 195?\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 2*k - 51*k + 53*k + 2 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 278 - (-3)\/((-15)\/(-10)). Suppose 0*h = -5*h + z. Is h a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 38863\nAnswer: -8\/38863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12634705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1068914.637ms?\nAnswer: 0.0017673853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.122\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26451511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, -5, 0.1, -49?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1648796*w**3*x**2 + 5603273*w**3 + 2*w**2 - 2*w*x**3 - x - 2 wrt x?\nAnswer: 3297592*w**3 - 12*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208085112.\nAnswer: 2, 13, 11616203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -352*c**3 - 12*c**2 - 4*c + 343. Let a(v) = -352*v**3 - 15*v**2 - 5*v + 342. Let s(b) = 4*a(b) - 5*g(b). Differentiate s(u) with respect to u.\nAnswer: 1056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 3}. Give prob of sequence jv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - -2500?\nAnswer: 251b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)\/d**(4\/23) assuming d is positive.\nAnswer: d**(-257\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i**2 - 1. Let k be 15\/(-2)*224\/70. Let l(n) = -73*n**3 + 145*n**2 - 88*n + 24. Let d(h) = k*t(h) - 3*l(h). Find y such that d(y) = 0.\nAnswer: 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/300 + 1\/10. Solve -8*o + 3*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/110)\/(9\/3*(-4)\/(-24)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161825 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.13854 and 125.\nAnswer: -142.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -7*k + 6*k, 12 = 4*i - 2*k. Suppose 5*n - n = -i*q, -3*q + 2*n = -18. Let d = -1.98 + -0.02. Which is the closest to d? (a) 0.4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.2 and -4986.\nAnswer: -95731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -2, 24, 70, 142, 246?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11480 and 51209.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5757 divided by -7.\nAnswer: 5757\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -14, -16, -16, -14?\n\"Answer: t**2 - 7*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(20904\/737)*-1\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53593 is divided by 26101?\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/75024 and 11\/7127280.\nAnswer: 7127280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -13 - (1 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 26*t - 196. What is the remainder when 215 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**2 + 2*l - 1\/3*l**3 + 1\/12*l**4 + 0 + 1\/30*l**5 + 1\/120*l**6. Let c(g) be the second derivative of u(g). What is c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 34.928, -2, 3, 1\/20, -1.\nAnswer: -2, -1, -3\/4, 1\/20, 3, 34.928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58\/20)\/((-1)\/(-2)). Let h = j + -26\/5. Let m = -4.97 - 0.03. Which is the nearest to 0.1? (a) 0.4 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*m**5 - 55*m**2 + 55*m**2 + (2*m**3 - 3*m**3 + 2*m**3)*(3*m**2 - 5*m**2 - 3*m**2) + (3*m - 5*m + 0*m)*(-2 + 2 - m**4).\nAnswer: -27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((6\/4)\/(1133\/(-206))). Let l be -4*5\/(-4) + -1. Solve 12*s = c*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -132*w - 1049. Suppose x - 39 = 87. What is the smallest common multiple of u(-8) and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345345189.\nAnswer: 3, 371705021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 2*c + 2*c)*(2*c**2 + 5*c**2 + c**2)*(0 - 2 + 0).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1094*f + 13046. Calculate z(12).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23078, -33514, -43950, -54386?\nAnswer: -64822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 3 = 5*t. Let q = -3 - t. Sort 1, q, 2 in descending order.\nAnswer: q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - (-6)\/(-5). Let p = 1 + o. Let a = p + 2. Sort 5, a, 4 in increasing order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -1152315533?\nAnswer: -1152315528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 21776*k - 21784*k. Solve 32*h = k*h + 18*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6 + 2*g**5 + 560110*g**3 - 701300*g**2 wrt g?\nAnswer: -120*g**3 + 120*g**2 + 3360660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*x + 814*x + 2*p = 8, -4 = 5*x + 6*p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1178*v**3 - 599*v wrt v.\nAnswer: -7068*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1154930 and 145530?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f - 9 = 0. What is the highest common factor of f and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/((-96)\/320). Suppose -675 = -b*n - 55. What are the prime factors of n?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2 = 2*v, v = 6*v - 2537*l + 5065*l - 2531*l + 23 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -2. Let z = 1.18 - 0.18. Sort q, -1, z in decreasing order.\nAnswer: z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 8*g + 7. Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:00 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(192) + sqrt(3))**2 + (sqrt(48)*2)**2.\nAnswer: 18*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30291*j + 60384 = -32807*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28515, 28351, 28185, 28017, 27847, 27675, 27501?\n\"Answer: -l**2 - 161*l + 28677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/17 - 109\/187. What is the nearest to 1 in 5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2736722 * -89\nAnswer: -243568258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43396 divided by -19\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 548309153 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*a + 32 = -281*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11477501 or -38\/5?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 20. Let a be i(3). Let v(q) = 71*q - 47. List the prime factors of v(a).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44086045, -44086046, -44086047, -44086048?\nAnswer: -44086049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 + -3. Let k = -42696 - -42695.900035. Let x = k + y. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 1. Let a(q) = q. What is 7*a(d) - 2*x(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -45701552 divided by -5359\nAnswer: 8528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 2*y**3 - y**2 - 3*y**3 + 25 - 30 + 2*y. Let f be g(6). Solve 3*q - f = 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 243\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -17. Let b = 40 - 30. What is the remainder when b is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270116.4 days in hours?\nAnswer: 6482793.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -660900 (c) -0.1 (d) -0.2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -146, -265, -472, -773, -1174, -1681?\n\"Answer: -h**3 - 38*h**2 + 2*h - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - 152*t**2 - 17 - 2*t**4 + 158*t**2 + 2*t to the form j*t**3 + i*t + x*t**4 + a*t**2 + r and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 21*d - 2*d + 41*d. Let i(w) = 2*w. Determine x(i(y)).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/22 and 21\/152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16378695, -16378724, -16378779, -16378866, -16378991, -16379160, -16379379?\nAnswer: -16379654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 29*u + 71. Let i be y(21). Suppose -25*o - i = -42*o. What is the smallest common multiple of o and 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 503 + 935 - 432.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + -1 + 4 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108208093*k**2 - 471542817*k wrt k.\nAnswer: 216416186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dfdddddfddddd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:19 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -3, -4 in ascending order.\nAnswer: -4, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/209664 and 101\/2592.\nAnswer: 1886976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -17) + -30 + 49.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2 + -1 + 1. Let n(s) = c*s**2 - 2*s**2 + 3*s**2 + 1. Let p be n(0). Calculate the highest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19824455 or 59473367\/3?\nAnswer: 19824455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b**2 + 3 - 2*b**3 + 6*b**4 - 3*b**2 - b**2 - b**2 - 1 in the form v*b**4 + f + t*b**3 + q*b + d*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12, 13\/3, 2, -1, -12\/11, -0.2, -1\/6?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*3399.\nAnswer: -57783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 69 + 59. Suppose 3*b - 3*x = 498 - 54, -278 = -t*b - 4*x. List the prime factors of b.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 635, 2, 24, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3161437*a**3 - a**2 - 922114?\nAnswer: -18968622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2924 divided by -21641\nAnswer: 172\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*5\/(-20))\/(98\/(-168)*1)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -12. Suppose 9*d - l*d + 1442 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 4354483?\nAnswer: -4354484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -153, -18 in ascending order.\nAnswer: -153, -18, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.845 + 0.445. Let s = -1 + -1. Which is the smallest value? (a) -0.2 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*b**12\/b)*b*b**(-2))\/(b\/(b\/b**(-4))*b**12))**3 assuming b is positive.\nAnswer: b**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:59 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(-50)\/290\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1342 + 20121?\nAnswer: 13224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -450447 - -41?\nAnswer: -450406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 + 12*h**4 + 34*h**3\/3 - 12*h**2 - 35*h\/3 = 0. Calculate h.\nAnswer: -35, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 123445?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.600056 + -0.6. Round r to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = 5*x. Suppose -l - 4*z = -14 - 2, 0 = x*l + z - 80. Suppose 3*v - 695 = -167. What is the greatest common divisor of v and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 56, 135, 246?\n\"Answer: 16*x**2 - x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-88)\/16)\/(1\/22). Let v = y - -131. Solve -x + v = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + 52\/12. Let c be (-6)\/(-15) + 178\/d. Suppose q - 4*q + c = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 24 = 6*f - 3*m, -f - 2 = m. Suppose -4*w + f + 8 = -u, w - u = -1. What is the lowest common multiple of w and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)\/((d*d**(-1\/14))\/d))**(-23\/5) assuming d is positive.\nAnswer: d**(299\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780, 1815, 3108, 4659?\nAnswer: 6468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = 87*s - 1587 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/11 (b) 0.02 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 4. Let s be y(6). Let q = -10.12 - -0.12. Let t = q + 9. Which is the closest to t? (a) -0.2 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.835 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 5*x + 2. Let s be j(-4). Suppose -k = -s + 5. Solve -2*t - k = -5*h + 5, 4*t = h - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60 + -61)\/((-2)\/(-4))*(-5)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.258223ml to litres.\nAnswer: 0.000258223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, w: 11}. What is prob of sequence swy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -88. Suppose -2*v - x + 17 = -5*o, 11 = 5*v + 2*o. Let j be v\/(6\/4) + (-1)\/(-1). Solve -j*s = -0 - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -272, 8, 4, -3, 2 in descending order.\nAnswer: 8, 4, 2, -3, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 28 + 23 = 3*z, 2*y - 68 = -4*z. Suppose -7574 = -z*d + 2575. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 49137*u**2 - 83430*u?\nAnswer: -6*u + 98274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 - 3)*((-1 + 1 + 3)*(7 - 7 + 2*o) - o - 2 + 2) as f*o + u and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-8 + (2 - -2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 462\/1078*(-8)\/(-6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -101210?\nAnswer: 101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.2 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*m - 1 - 118*m + 16*m**2 + 235*m as c + h*m + z*m**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/32667 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*u + 18 = 0, 0 = -z + 3*u + 6 - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318 + 316. Let y = -1.3 - -0.6. Let h = -2 + 2. Which is the second smallest value? (a) h (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than 46533475288.6?\nAnswer: 46533475288.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.15 + -7.65. Let w = -62\/11 + 1200\/209. Let s = 24 - 19. Sort 1, w, s, k.\nAnswer: k, w, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.322 + -3.\nAnswer: -7.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 26. Let o be h(-8). What is the third derivative of 71*j**2 - 37*j**2 + j**5 - 28*j**o - 27*j**2 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-21) - 4\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*j + 48*j + 2416. What are the prime factors of j?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432994.\nAnswer: 2, 149, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2506*t**3 - 1605*t**3 + 3179*t**3.\nAnswer: 4080*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 10*p - 30. Let v(t) = -t**2 + t + 2. Let r(h) = j(h) + 4*v(h). Let o be r(12). Solve 0 = -3*b + 5 - o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fryyyrr. What is prob of picking 1 f, 1 r, and 2 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 5, b: 3}. Give prob of picking 1 g and 3 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -30*u**3 - 44*u**2 + 3. Let f(b) = -31*b**3 - 59*b**2 + b + 3. Let q(h) = 3*f(h) - 4*z(h). What is q(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32360 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 128\/(-20) + 2\/5. Let q = u + 8. Suppose -2*n = -q, 0 = -3*r + 2*r + 2*n + 28. Solve 5*j + 3*p = 20, r = 5*j - 0*p + 5*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p + p + 0*p**3 + 2 - p**3. Let f be t(0). Factor -4*l**3 - f*l**3 + 4*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/25 + (-4152208)\/(-10). Let f = q + -282221. Round f to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/240 + 29*m**4\/12 + 18*m. Let q(u) be the third derivative of o(u). Let w(a) = 0 - a**2 + 0. What is q(w(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l - l**4 + 3*l**4 + 2*l**3 - 1 - 27*l in the form k + x*l**3 + a*l**4 + z*l**2 + d*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 241224675971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.7 + 9.7. Let w be 0 + 1 + (-95)\/(-8). Let q = w + -25\/2. What is the second biggest value in b, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 4*r - 7. Let n(f) = -f**2 - 1. Let k(s) = 4*n(s) - y(s). What are the prime factors of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4 + 2. Let h be (-417)\/(-30) - (8 + -6)\/(-4). Factor -8\/5 - 162\/5*r**x - h*r.\nAnswer: -2*(9*r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f)**(-10) assuming f is positive.\nAnswer: f**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -5)*(315\/(-108) - -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 8*t + 9. Let n be y(6). Let v = 0 - n. Suppose 4*k - 37 - v = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1966233550 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*z - 247 + 137 - 234 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 127, 5, 66, -12, 1 in decreasing order.\nAnswer: 127, 66, 5, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185622.\nAnswer: 2, 3, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/948 and -95\/4582.\nAnswer: 27492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4, -14*d + 17*d + 3*n = 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(832)*2 - sqrt(832))*3 - sqrt(832)) + (sqrt(832) - 5*((2*sqrt(832) - sqrt(832)) + sqrt(832) + sqrt(832))) - -4*(sqrt(832) + 2 + 1))*-3)**2.\nAnswer: -13824*sqrt(13) + 480528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000182167 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21907 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2909 divide 48388306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaptzyt. What is prob of sequence yttp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47784927 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d8 + -c8?\nAnswer: -5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 2 (b) -26\/71 (c) 0.58 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 68. Which is the nearest to -1\/3? (a) r (b) -3\/8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 580b - -8b?\nAnswer: 5898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 1. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -71*u + 70*u + 85, 2*u - 2*x + 28 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 13 - 116*z**2 + 0 + 4*z + 119*z**2.\nAnswer: 3*z**2 + 6*z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 706973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -51302057 equal to -51302056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3210231 (base 4) to base 16\nAnswer: -392d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1008*i + 19236. Determine q(-19).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.437528 hours?\nAnswer: 26775100800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvu when three letters picked without replacement from cuuv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7077.063 - -7081. Let q = 4 - k. Let a = q + -0.0629943. Round a to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9203, 13249, 17295, 21341, 25387, 29433?\n\"Answer: 4046*j + 5157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78022 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1 + 1 - sqrt(208)) + -4 + sqrt(208)*-1)**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 4*h**3\/3 + 48*h**2 - 100*h - 2650. Find y such that g(y) = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/60 - 21*m**2. Let d(l) = 14*l**2. Calculate w(d(h)).\nAnswer: 196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -5612296.\nAnswer: -5612296.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -62*c + 379765 - 379765. Let o(k) = -2*k**2 - 3*k. Let d(v) = -v**2 - v. Let p(l) = -3*d(l) + o(l). Determine p(n(h)).\nAnswer: 3844*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.344656157*-0.1.\nAnswer: -0.0344656157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8520?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118\/5 - 821\/35. Which is the closest to p? (a) 2 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, g: 5}. Give prob of picking 3 y and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1 - 4\/(-5)). Solve -v*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*z - 24 = 0, 5*j + 5*z - 14 = 36. Let c be (-2)\/(-7) - 102\/14. Let o(h) = h + 10. Let s be o(c). Calculate the highest common divisor of j and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4316 and 344616?\nAnswer: 4480008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*j + 5*q = 426*j + 49, -3*q = j - 23 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 58, 2, -57 in increasing order.\nAnswer: -57, -4, 1, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 901929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - sqrt(90)*-2) + (sqrt(343)*-2 + -3*sqrt(7)*1)**2 + -3*(sqrt(2401) + -1*sqrt(2401))\/(-5*sqrt(63)).\nAnswer: sqrt(7)\/7 + 2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 2*c + c)*(1 + 2*c - 1)*(-2*c**2 + c**2 - 3*c**2) in the form h*c**4 + k*c + o + s*c**3 + x*c**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 14*m)*(3 - 3 + 2*m) + 12*m**2 - 20*m**2 - 10*m**2.\nAnswer: -46*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 49*x**2 + 3*x - 5. Let g be 2*(-5)\/75 + 86\/(-30). List the prime factors of a(g).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**3 - 4*j**2. Let q(y) = 11*y**3 + 8*y**2. Let d = 555 - 529. Let n be -7 - (d\/39)\/((-2)\/(-6)). What is n*l(t) - 4*q(t)?\nAnswer: t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/312 and -58\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -676, -2670, -5982, -10612, -16560?\n\"Answer: -659*t**2 - 17*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211898\/9 or 23544?\nAnswer: 23544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -18, -4 in decreasing order.\nAnswer: 7, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1242 times -0.1\nAnswer: -0.01242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -306.9916 to 1 decimal place.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose m - 18 = -0*m + 3*w, -44 = -4*m + v*w. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-55)\/56 + 1). Let c = 37 - w. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354637.\nAnswer: 1354637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 81*s - 223. Let d(i) = -94*i + 223. What is 6*d(u) + 7*l(u)?\nAnswer: 3*u - 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 1836716340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1*((-3)\/30)\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(7\/4)*q**(-4)*(q*q**(-20))\/(q\/q**(3\/10)))**12 assuming q is positive.\nAnswer: q**(-1257\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68083*n**3 - n + 163809 wrt n?\nAnswer: 408498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(1536) + sqrt(1536) + sqrt(1536)*3))\/sqrt(12)*6.\nAnswer: -234*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksrkhlshrkrhrmmm. Give prob of picking 3 r and 1 s.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + 7. Let i be (0\/(-2))\/(n + -1). Solve i = -8*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.57 in 4, 0, -2\/13, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(448) + 1) + ((sqrt(448) - sqrt(448)*-1 - sqrt(448))*5)**2 - (sqrt(448) + -1 + 2 + 5)**2.\nAnswer: -64*sqrt(7) + 10720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 13. Let a(k) = 5*k + 14. Let c(b) = 2*a(b) - 3*r(b). Let n be 24\/60 + 110\/(-25). Is 2 a factor of c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + 3*sqrt(11)*-1).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 17*g + 5. Let f be m(-17). Suppose 0 = -f*q + 2 + 13. Suppose -q*t = 2*j - 71, 2*t + 4*j + 83 = 5*t. Which is bigger: 23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 350*q**3 + 123*q**3 - 457*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-24) - 129\/(-24). Suppose 0 = 6*z - m*z - 8. What is the lowest common multiple of z and 366?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13806 and 36387.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17754.\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3 + 495*l**2 - 987*l - 1044. Determine c so that k(c) = 0.\nAnswer: 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.046 - -0.046. Let d = k + 13. Which is the closest to d? (a) -7\/2 (b) -2\/9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*d - 0*k + k, -5*d - 23 = k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 4:57 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:12 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28+-76044848107.2\nAnswer: -76044848079.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-455)*35950\/(-2157).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 46*o - 273. Let u = -3436 - -3475. Calculate x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 8. Suppose 4*z = -5*k + 53, -4*k + l = -0. What is the common denominator of -101\/8 and ((-1)\/z)\/((-15)\/(-50))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633904.\nAnswer: 2, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l**4 - l**4 + l**4)*((-2 + 2 + 1)*(-1 + 4 - 5) + 0 + 0 + 3) in the form y*l**3 + h + x*l**4 + r*l + a*l**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(3\/20)*i*i)\/i)*(((i\/((i**15*i)\/i))\/i)\/i*i)\/i)**25 assuming i is positive.\nAnswer: i**(-1615\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 + 9*d + 2 + 2 - 1 - d**2. Let p be a(9). Suppose 3 = p*n - 17. Solve -3*m + 4*h - 3*h + 16 = 0, -2*h = -n*m + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 25 = -0*z - 2*z, -3*r - 4*z - 5 = 0. Suppose 0*v + v = 2*i + 168, -r*i = 4*v - 620. What is the highest common divisor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u. Let p be (0 - -1)\/((-2)\/(-26)). Let t(j) = 9*j. Calculate p*n(f) + 6*t(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let w = 2.9988 + d. Round w to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-3)\/3)*(-66080)\/2240\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 64\/5 of a second?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416691*s**3 - 416681*s**3 + 833369*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -10 in descending order.\nAnswer: 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 - 13 = 36*t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29024 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 18*r**2 + 13*r + 51. Is 17 a factor of a(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-108)*2\/5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2817*r**3 - 2381*r**2 - r - 50159512.\nAnswer: 8451*r**2 - 4762*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/346 and -97\/2422.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1342)\/44 + 34 + 2163\/(-588).\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. Let k be ((-24)\/(-4))\/s - -4. Find i such that -3*i**2 - 2 - 2*i**4 + 257*i + 2*i**5 - 255*i - 4*i**3 + k*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from oxoozzoczoojjddjzo.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/429)\/(35\/36 + -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 2 - 5*w + 4)*(-3*w**4 + 3*w**4 + 2*w**4) + w**3 + w**5 - w**3.\nAnswer: 3*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 505590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110014.339 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - 28*a**2 + 15*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v**2 - 2*v + 2. Let h(z) be the first derivative of 15*z**3 + 9*z**2\/2 - 9*z - 79. What is -2*h(l) - 9*x(l)?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 6 = -22*s. Let f(h) be the first derivative of -h**3\/3 + h**2\/2 - 2*h + 23. What is f(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 9 - 9)*(-5 + 2 + 5) as a*h + s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1005)\/12 - -2)\/((-18)\/48). Let n = o - 2719\/12. Find the common denominator of -53\/32 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*q**3 - 108010*q**2 - 17*q + 133584.\nAnswer: -114*q - 216020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/11842?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29707, -59422, -89087, -118696, -148243?\n\"Answer: q**3 + 19*q**2 - 29779*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7840*i - 47256. What is a(6)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 3*y - 14, 3*y = 2*a - 2. Suppose -l - 9 = y*l, -2*p - 3*l = 3. What is the remainder when 2\/(-7) - 116\/(-14) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-5)\/4). Suppose -2*a + 55 = -13*a. Sort n, a, -0.3 in decreasing order.\nAnswer: -0.3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34038802 - 552.\nAnswer: -551.65961198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 - 37*f**2\/5 + 2*f\/5 + 112\/5 = 0. What is f?\nAnswer: -7, -2, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i. Let k(q) = -q. Let y(r) = -11*r + 7. Let l be y(1). Calculate l*d(o) - 36*k(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 5)*(-1 + 1 - z) - 1 + 2*z + 1)*(-z + 2 + 5*z**2 - 8*z**2 + 6*z**2).\nAnswer: 3*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345387?\nAnswer: 3, 7, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3944 = -2589810*i + 2589926*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12643947 + -12644158.00099. Let u = -211 - w. Round u to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 11*h - 3. Let b be k(-8). What is the nearest to -1 in 4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.617313 to 3 decimal places.\nAnswer: -0.617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Put -1, m, -0.5 in ascending order.\nAnswer: -1, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2349 - 325 + 2345 - 23*f - 4368.\nAnswer: -23*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -d59a (base 15) in base 16?\nAnswer: -b059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62591 less than or equal to -1044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfhrftlflfl. What is prob of sequence ftf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(204) + 5*4*sqrt(204))\/(-1*(sqrt(12) - (sqrt(24)\/sqrt(2) - sqrt(12)))) + 0).\nAnswer: 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23503805 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 207122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4479649, -4479587, -4479527, -4479469, -4479413?\n\"Answer: -l**2 + 65*l - 4479713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 24. What is p(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 8, u: 2, x: 4, w: 1}. Give prob of sequence gvxg.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 623934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 29*l**2 + 416*l - 246. Let d be f(40). Which is smaller: -1204 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 172*d**3 + d + 169*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 39 - 400*o - 3709*o)*((-3 + 1 + 3)*(o - 3*o + 0*o) - 4*o + 0*o + 2*o) to l + p*o + b*o**2 and give b.\nAnswer: 16436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4, -2*v + 0*v - 2 = 5*x. Let c = x - -3. Let m(i) = 42*i + 1. Is m(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461843 (base 9) in base 2?\nAnswer: -1000011100111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30459800379535+4\nAnswer: 30459800379539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17067 + -13022116\/763. Let v = p - -106027\/4578. Calculate the common denominator of -83\/10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -177\/236393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - k = 6, 0 = -n - 8*k + 6*k + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.462153um?\nAnswer: 0.0009462153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 531, 1325, 2351, 3603, 5075, 6761, 8655?\nAnswer: 10751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 53*z**2 + 23*z - 77. Give o(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 58*j + 2427. Give t(-44).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuupuuupuuuuppupu. Give prob of picking 2 p.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvvv when four letters picked without replacement from {x: 1, b: 3, q: 4, v: 6}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19692 + 36819. Is g a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 v when three letters picked without replacement from {y: 8, r: 3, i: 2, v: 5, k: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 3 = 18*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -732*d + 387. What is the hundreds digit of p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 + -180. Solve -3*d - s*b = -6 + 1, d - 3*b = -7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 11) to base 2.\nAnswer: -10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -39394 and 2989 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14093 - 14089. What is the closest to -1 in 0.02, z, 1\/92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 50.39969cm?\nAnswer: 503.9969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 37*x + 24. Let n be f(16). What is the units digit of (-3 + 0)\/(8\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14846, -15723, -18138, -22871, -30702, -42411, -58778?\n\"Answer: -130*v**3 + 11*v**2 - 14727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 15*a**2 + 2. Let c be x(15). Suppose 3*m - c*j = 8, -m - 2*m = -4*j - 4. Sort -10, m, -3 in decreasing order.\nAnswer: m, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*(z*z**(-8\/11)*z)\/z*z)*z)\/z**(-7))**(1\/8))**(-6\/7) assuming z is positive.\nAnswer: z**(-27\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txtd when four letters picked without replacement from {d: 3, g: 2, t: 2, x: 2, l: 2, s: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895018601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 137*m - 58. Calculate the remainder when 269 is divided by s(-25).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 250132 = a, 9*a = 13*a - 5*r - 1000653. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*96\/88*(68\/8)\/17.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let x(h) be the first derivative of 2*h**3 - 1 - 1 - 3*h**t - 2*h**3 + h**3. Factor x(f).\nAnswer: 3*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 36. Let z be 1*0*1\/(-7). What is x(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*h = 7, 18*h + 10 = 13*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 - 0.9. Let a = w + 13.1. Let m = a + -14.9971. Round m to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.6 + 53.28. Round g to 1 decimal place.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22669*d*m - 275*d + 16 wrt m?\nAnswer: -22669*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, u: 6}. Give prob of picking 3 u.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(39))\/sqrt(3) - (sqrt(13) + sqrt(208) + 1)).\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745 is divided by 602?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, 4, 1, -3.\nAnswer: -3, 1, 4, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.10456 - -0.10456. Which is the second smallest value? (a) 3 (b) r (c) -0.278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (6 - (33 - 17)) - -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2655)\/(-18)*(-2)\/(-5) + -3. Differentiate 53 + f**3 - f**3 - l + 177*f**4 with respect to f.\nAnswer: 708*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21318*h**2*p**2 + h**2*p + 143*h**2 + h*p**2 + 210*h*p - h + p**2 - 659*p + 4 wrt h?\nAnswer: -42636*p**2 + 2*p + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -357*q + 5358. Let w be a(15). Solve 0 = b - w*c + 8, -3*c = -3*b + 4*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) - 5\/3. Let n(k) = -2*k**3 + k**2 + 3*k + 2. Let r be n(c). Solve -r*l = 2*z - 10, 13 + 2 = 3*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/24 - -6*364\/(-126)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - 114?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let a(i) = i + 3. Let l(d) = 7*d**2 - 18*d + 6. Let r be l(3). Determine r*p(o) + 5*a(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 1037421536*z + 67265215209787456 = 0. Calculate z.\nAnswer: 129677692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5718.91657 to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -12. Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/505 and 5\/26?\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 6) + 183\/60. Let k = h + 9\/20. Let o = 3201\/65 - 247\/5. Is o greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) - (-4*(sqrt(245) + 0))**2.\nAnswer: -3920 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 987139 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69\/4 + 17. Sort -0.5, v, 2 in decreasing order.\nAnswer: 2, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times -14276?\nAnswer: 2712.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a404 - -3a5?\nAnswer: 10a7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(70))\/sqrt(10).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (2584\/40 - -5). Let z be (-1)\/(2\/(-10))*(73 - t). Solve -h + z = -3*q, -3*h = h + 3*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1630209, -1630180, -1630131, -1630062, -1629973, -1629864, -1629735?\n\"Answer: 10*o**2 - o - 1630218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18272.308 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -680, -2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:15 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -4, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 16 + 15*s + 15)*((117*s + 960 - 960)*(2*s + s - s) - s + s**2 + s).\nAnswer: 3525*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34014 * 3\nAnswer: 102042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let w(i) = i**3 + 2*i**2 - 16*i + 2. Let m be w(-5). Let y(a) = 8*a**2 + a**2 - m*a**2 - 2. Determine r(y(s)).\nAnswer: -4*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4522 + 4488. Which is the smallest value? (a) -0.6 (b) -0.5 (c) 0 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46500.4 - 46692.3502. Let r = t - -193.95. Let m = -2 + r. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 17*g - 2. Let w be f(11). Let z = w + -39. Solve -z = h + 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 41815590.\nAnswer: 41815590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206.915 - 207. Let t = 0.08849 + y. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25370151 + 2*f - 25370151.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66c58 + 12?\nAnswer: -66c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -102 (b) -5 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2. Let r be m(-1). Let l(s) = s**3 - 4*s**2 + 5*s. Let k be l(4). Let o = 28 - k. What is the greatest common divisor of r and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981493 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -91. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {z: 1, b: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18032196 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 3:28 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10290 - -20891. What are the prime factors of c?\nAnswer: 31181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 293*h - 27. Let l be v(-11). What is the greatest common divisor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*h - 75. Let i = 39 - h. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 k when three letters picked without replacement from {k: 5, m: 2, f: 1, v: 6, o: 1, s: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.57 and 157469.\nAnswer: 157468.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:05 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {h: 2, j: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 4*q + 1. Let b(a) = 13*a**2 - 9*a - 2. Let c be (9 - (-49)\/(-5))*5. Calculate c*b(k) - 9*h(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274678442?\nAnswer: 2, 131, 1048391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253588695?\nAnswer: 3, 5, 16905913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 15 - 3. Let f be -3 + b\/14 - -3. Is f < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(200))*5 + sqrt(200))**2 + 4*(sqrt(200) + sqrt(200) + -1).\nAnswer: 80*sqrt(2) + 7196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {w: 5, v: 2, x: 1, e: 3, j: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252299 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3)*-1*-5 + 1 - (4 + sqrt(12)\/sqrt(4) + 1 + sqrt(300)))**2.\nAnswer: 144*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 10 = 0. Suppose 0 = -s*p + 7 + 1. What is the least common multiple of 6 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1628 - 4*u + 3*u + 4886 - 1628 - 1630.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10509920 rounded to the nearest 10000?\nAnswer: 10510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b - 2. Let a be s(-5). Let d be 3\/15*(a + 2). Suppose -n = -13 + d. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314460750006 + 314458116596.99982. Let y = 2633432 + b. Let l = 23 - y. What is l rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and -1*((-2)\/(-6) - 124\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - t - 36. Let f(o) = 2*o**2 + 28*o + 2. Let x be f(-14). Let l be 0\/(-1*(x - 5)). What is b(l)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236098 + 236098 + 872*w.\nAnswer: 872*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 5*x**2 + 35*x**2.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -613, -2039, -4793, -9313, -16037, -25403, -37849?\nAnswer: -53813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {m: 4, l: 1, i: 1, r: 1, y: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, s: 4, w: 1, g: 4, r: 2}. What is prob of sequence wsr?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 845049 - 3327802945\/3938. Let f = h + 2378399\/35442. Let i = f + -67. Put 1\/2, -3, i in descending order.\nAnswer: 1\/2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + (sqrt(3)*1 + sqrt(3))*-3 + sqrt(3))**2 - sqrt(3) - (-2*sqrt(243))**2)*4 + (-4*sqrt(30)\/sqrt(40))**2*1 + -2.\nAnswer: -3686 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 1365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-64)\/2))\/(3\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/24 + 31*d**3\/6 + 3*d**2 - 50*d + 5. Let z(g) = 51*g. What is z(l(c))?\nAnswer: 51*c + 1581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let c(s) = s**2 - 3*s. Let i(b) = c(b) - 4*t(b). Let u(d) = d - 2. Let q be u(3). Let o(f) = f**3 - 6*f**2 - 7*f - 2. Determine q*o(g) + 6*i(g).\nAnswer: g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 60\/203 (c) -0.04 (d) 4 (e) -0.2 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 14*r - 3*r**2 - 12*r - r**2 - 2. Determine k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -3. Let a = 8 + g. Suppose 4*v - 1279984 = a*l, 5*l = -5*v - 1589269 - 1610751. What is l rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, 52, 1\/18, 1\/5, -0.03?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/16 and -127\/624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 249\/7 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*t + 123*t - 742 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 226490?\nAnswer: -1\/45298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) + sqrt(252) + -1) - sqrt(7)) + 4*(sqrt(7) - sqrt(28)\/sqrt(4)))**2.\nAnswer: -14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.99 (b) 4 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 5 - 9*w**3 - 1 - 2*w**2 + 11*w**3 to y*w + h + f*w**2 + b*w**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-10) - 9\/(-12)*(-144)\/(-135)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1422205, -2843015, -4263839, -5684683, -7105553, -8526455?\nAnswer: -9947395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*v - 1840509 = -1888360 for v.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqqqqqq. Give prob of sequence quq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 - 13*f**3\/6 - 36*f**2 - 3*f + 13. Let h be x(-6). Is h < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 divided by -1?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*r - 11, l + r - 3*r = 9. Suppose 8*i - 3*i = l. Solve -2 = 5*y - 2*u, i = -5*y + 3*u - 2*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-6)*(245\/25 + -10). What is the closest to 6 in y, -1\/6, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14813965 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 + -506. Let p = 476 + i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 8\/9*c + 2\/27*c**3 - 91 + 5\/9*c**2. Factor g(n).\nAnswer: 2*(n + 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111210 divided by -369\nAnswer: 37070\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*z, 8*z + 154 - 29 = -2*o + 6*z + 3*z for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 345*w + 5293. Determine i(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02612965583 to five decimal places.\nAnswer: 0.02613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1826936 months in centuries?\nAnswer: 0.000985578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*t = -44, -9 = -4*t - 1. Let c(p) = -3*p + 2 - a + 8*p. Let f be c(6). Solve z = -0 - 4, -3*y - f = 3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791732 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 + 488 - 488 - q + (q**3 - q**3 + 2*q**3)*(-2*q**2 - q**2 + 2*q**2).\nAnswer: 3*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*s = 3*s - 5, -5*z + 4*s - 5 = 0. Let i(m) = 7496*m**2 - 6*m - 7. Is i(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 1680777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -654, -1741, -3320, -5385?\n\"Answer: n**3 - 255*n**2 + 169*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95\/468 + 1\/52. Put -1, k, -0.5 in descending order.\nAnswer: k, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 4, t: 6}. Give prob of sequence obb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251944109 by 3.\nAnswer: -251944109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*w + 8*w - 13*w + 17*w to the form g + z*w and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/39)*f\/((f*f*f*(f*f**(-1)\/f)\/f*f*f)\/f*f))\/(f\/(f**3*f))**30 assuming f is positive.\nAnswer: f**(3473\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y - 4. Let u be r(7). What is the units digit of u\/(-2) + (2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 50503 (b) -6 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(w - 2*w + 3*w) + 13*w - 45*w + 195*w.\nAnswer: 169*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) -2 (c) -0.7 (d) 14 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 10 - c - 10 - 2*c + 17. What are the prime factors of b(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.066, -0.2, 10?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131004468 and 8.\nAnswer: 262008936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 668.8 - 668.83. Let q = -6 - -4. Which is the nearest to x? (a) q (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2505, 10104, 22761, 40470, 63225, 91020, 123849?\nAnswer: 161706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -787, -783, -777, -769, -759?\n\"Answer: w**2 + w - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443.21 rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 2\/9 (c) -5 (d) -1 (e) 7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 10, -14 in descending order.\nAnswer: 10, 4, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 27*d - 6345. Suppose -282 = -7*r + r. What is the greatest common divisor of d and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 13, 2, -2 in descending order.\nAnswer: 13, 2, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90490 and 72392?\nAnswer: 361960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 3 (c) 49 (d) 18 (e) 1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u - 8 + 34 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -3, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - a = -4, 2*a + 875 - 883 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -45)\/(-1)*(-9)\/6. Let o be 1\/((-6)\/7 - -1). Find the common denominator of o\/y*(-118)\/(-4) and -25\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 19*m = -0*m - 14*m - 68 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g - 39. Let o be w(-11). Let v be (-4 - 6)\/o - -3. Is v at least as big as 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130212991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + s**2. Let x be g(1). Let o = x + 6. Calculate the remainder when 6 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and 11\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4*1*sqrt(396) + 2*sqrt(396)*-3 - (1*sqrt(396)*-2 + sqrt(396) + sqrt(396) + (sqrt(396) - (sqrt(396) + sqrt(396) + (sqrt(396) + 0)*3)))))**2 + -2.\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126353911 and 1751?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62*-759.\nAnswer: 47058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 1, a: 2, b: 1, n: 1, m: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9694 divided by -11?\nAnswer: 9694\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 25*x - 22. Let q be w(24). Solve -q = 13*p - 15*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 2*l + 4. Is 12 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 870 = 5*f. Let o = 244 + f. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001321797 rounded to 7 dps?\nAnswer: 0.0001322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 2, 1.\nAnswer: -74, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 573214.226 rounded to the nearest 10000?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -81 (b) -99\/16 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 14 - ((-3 - 0) + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) 0.1 (d) -4 (e) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606015*b**4 - 397980*b**3 + 206010*b**2 - 2020*b + 5 = 0. What is b?\nAnswer: -1, 1\/201, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 10*y = 102 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015660968.\nAnswer: 2, 18691, 40231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 - (0 + 4 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 8:07 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*h + 1702 - 182. Solve 13*q = 71 - h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1 + (-1 + 5 - 3)*(2 - 2 - 2) - 3 + 5 + 0)*(b + 0*b - 4*b)*(1 - 3 + 0) to a*b + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189950770 and 20?\nAnswer: 379901540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 19. Let d(p) = p + 4. Suppose 132 = -31*t + 19*t. Calculate t*d(a) - 2*b(a).\nAnswer: a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0\/6)*((35 - 31) + -115)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*r**3 + 173*r**3 + 11*r**3 + (-2*r**2 - r**2 + r**2)*(0 + 0 + 2*r) + 4*r**3 - 3*r**3 + 0*r**3 in the form v*r**2 + u*r + q*r**3 + w and give q.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s*s**(5\/4))\/(s\/(s\/((s**(-13)\/s)\/s))*s**(-18)) assuming s is positive.\nAnswer: s**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.192 and -4231851786.\nAnswer: -4231851785.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*b - 30, -78 = -4*s + b. What is the remainder when ((-122)\/4 + 3)*4110\/(-3425) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72613, 72466, 72319, 72172?\nAnswer: 72025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 - -0.9874.\nAnswer: 9.3874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**2 + 1250*v + 3618. What is i(107)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.1 (b) -26 (c) -2\/7 (d) -4\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/511 and 50\/73949.\nAnswer: 517643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 344 = 102*j. Let k(h) = 5*h**2 - 5*h + 12. Let f(s) = -6*s**2 + 6*s - 11. What is j*f(z) - 5*k(z)?\nAnswer: -z**2 + z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320568015.\nAnswer: 5, 464113603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/19169298 and -17\/12.\nAnswer: 38338596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68188979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 101*y - 312.\nAnswer: (y - 3)*(y + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2578*q + 18044. Let x be d(7). Let z be (-2)\/1 + (-46)\/(-27). Let w = 110\/189 + z. Which is the closest to w? (a) -0.1 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Sort d, 1, 0 in descending order.\nAnswer: d, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361*i**3 - i wrt i.\nAnswer: 2166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*k + 25 - 70 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/25 and ((-35)\/(-75915))\/((-3)\/207)?\nAnswer: 18075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t - 64 + 701 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(12\/9)*-2 + -44. Let f = -43 - p. Let k = -5.13 - -0.13. What is the nearest to -1 in f, 2, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5855 and 17388179.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106722 and 791406?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.9999901 + 11. What is p rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*z - 2*m, 0 = 2*z - 5*z - 2*m + 7. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*f = 3, 2*p - p = -f - 6. Let k(m) = -m**2 - 5*m - 2. Let w be k(p). Solve -3*n + 8 + w = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 173*a - 14. Let s be m(-87). Solve -7 + s = 22*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24829, 25193, 25557, 25921?\nAnswer: 26285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-63)*(-9)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -38. Let y(j) = 3*j. Let z be y(6). Suppose l - 4*l + z = 0. Solve -q = -g*q + l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 4. Suppose -4*z - 27 = 1. What is v(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 + 27*o - 8. Let w be a(-7). Let l be 7\/(-5) - w - (-185)\/25. Suppose l*k - 380 = 2*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 741544*k - 820542 with respect to k.\nAnswer: 741544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/2))**(-2\/37)\/((r*r*r\/(r\/(r*r**1))*r*r*r)\/r)**(5\/7))**(-45))**(-26\/3) assuming r is positive.\nAnswer: r**(-441090\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 592 - 587. Sort 0.03, 2\/15, 0.1, r in descending order.\nAnswer: r, 2\/15, 0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/3 (b) 4 (c) -51\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*s = -0*s + 27, -4*s = -4*h + 24. Let v be h\/(-6) + 7\/6. Let j = 2 - v. Solve -l + j + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15*6\/40)\/(6\/(-160)). Let w be (-80)\/q*42\/8. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 209*j + 363*j - 132*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -643 - -459. Let p = i + 187. Let o(w) = -w**2 - 7*w - 3. Calculate the least common multiple of o(-6) and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 35. Let t be l(8). Let r(b) be the third derivative of 0 + 0*b**t + 0*b**4 + 0*b**5 + 2*b**2 + 0*b + 1\/600*b**6. Factor r(k).\nAnswer: k**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237645429 divided by 11316449?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*u = -55, 0 = -61*w + 57*w - u + 20. Put 0, w, 4, 509 in ascending order.\nAnswer: 0, w, 4, 509","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -17\/935128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 0*l = -8*l - 713 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28470267.\nAnswer: 3, 7, 451909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:12 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395123 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 39425?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8*m - 28. Let z be (-9)\/(-12) + m\/(-16). Solve -5*u - 16 = -z, 12 = -k - 5*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -24. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2464609 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837364434 to the power of 1\/2, to the nearest integer?\nAnswer: 53267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2336*f - 74. Let x(l) = -1557*l + 53. What is -7*x(g) - 5*y(g)?\nAnswer: -781*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*d**3 - 255*d**4 + 522*d**4 + 14*d**2 - 11*d - 266*d**4 as r*d**2 + y*d + a + k*d**3 + n*d**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 200553, 802262, 1805149, 3209214, 5014457, 7220878?\n\"Answer: 200589*l**2 - 58*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 6*i + 2. Let l = -7\/6660 + -25873427\/6660. Let p = 3891 + l. Calculate the common denominator of p and s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 16*b**2 + 1840*b - 23406. Determine q(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 2*d + 1. Let t(y) = 8*y**2 + 24*y - 30. Give 12*k(h) + t(h).\nAnswer: -4*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -3*f - 5\/6*f**3 + 1\/2*f**2 - 1. Let u(n) be the first derivative of t(n). Calculate u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-765)\/(-425))\/((1065\/175 - 1) + -5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12061584569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -49*q + 63. Let b(t) = t - 6. Let a be b(10). Let u(d) = 3*d + 42. Let z(r) = 27*r + 332. Let x(o) = 8*u(o) - z(o). Calculate a*g(y) - 63*x(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/24 - k**2. Let w(d) be the first derivative of -2*d**3 + 13. Calculate y(w(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 + 3. Let u be d(-3). Let v = -22 + u. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:32 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + -1 + 7\/21. Let m be (0 + 1)\/((-61)\/(-3)). Let n = m + 89\/671. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -86*p**3 + 129*p**2 - 129*p - 129. Let y(r) = -r**3 + r**2 - r - 1. Calculate -d(v) + 129*y(v).\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y*y\/(y*y*y\/y**(11\/3))*y)**(2\/29) assuming y is positive.\nAnswer: y**(-50\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 1. Let y(x) = x**2 + 59*x + 27. Determine y(t(c)).\nAnswer: 4*c**2 + 114*c - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 5) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -60761.292 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**34)\/(n*n\/n**(-37)) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*k + 1 + 170*k + 0 + 5*k**4 + 0 + 109*k**3 in the form l*k + h*k**4 + d*k**3 + i*k**2 + r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 35*l - 69. Give b(10).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3173974, -6347687, -9521400, -12695113, -15868826?\nAnswer: -19042539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177 - -182. Let c(r) = 3*r**3 + 7*r**2 - 13*r - 8. Let b(d) = -d**3 - 4*d**2 + 6*d + 4. Let q = 91 - 86. Let a(z) = q*b(z) + 2*c(z). Give a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 63 = -3*i. Suppose -i*v + 11*v + 50 = 0. Solve -10*n + 25 = -v*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*c - 6 + 2, 4*c = 4*j + 4. Let m(v) = -v**3 + 12*v**2 - 32*v - 7. Let r be m(7). Suppose -r*d = -20*d + 42. Solve 2*f = d + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 - -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose -105 = 2*v - 0*o + b*o, 25 = -v + 4*o. Does 16 divide ((-288)\/v)\/(2\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4*s + 2*p**4 - 1215*p**3*s - 4*p**2*s - 2*p**2 wrt p.\nAnswer: 24*p*s + 48*p - 7290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*s - 1)*(0*s - 51*s - 61*s) + 12*s**2 - 9*s**2 - 30*s**2 to f + q*s + z*s**2 and give z.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, -133, -22, 98, -3\/7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -892+-126631\nAnswer: -127523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30764.346 - 31108.35462. Let o = 344 + v. What is o rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7025, -56154, -189507, -449198, -877341, -1516050?\nAnswer: -2407439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -5*n + c, 4*n - 122*c + 47 = -241*c + 116*c for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -181.533 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + -633?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-12) - 3) + (-445)\/(-700). Is 1\/4 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340893, 681800, 1022719, 1363650, 1704593, 2045548, 2386515?\nAnswer: 2727494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:24 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 - 0.52. Let t = 2 + -1. Let z = t - 1.2. Put l, z, 4 in increasing order.\nAnswer: z, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*p - 57, y + 91 = 87*p - 84*p. Is 0.78 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 5669.9, 37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 948 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129933916 by 7.\nAnswer: -18561988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -2. Let j = -9 - p. Let l be (-4)\/14 - (-32)\/63. Which is the second smallest value? (a) l (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -614 - 21*t + 614 - 2*t + 5 - 5 + (1 - 1 - 2*t)*(2 + 1 - 5) + 4*t - 4*t - t as i + c*t and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:09 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, q: 2, k: 1, s: 2, d: 3, x: 4}. Give prob of picking 1 x, 1 k, and 2 s.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/63)\/(-8))\/(62\/((-22134)\/(-255)))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -144, -217, -290, -363, -436?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11295*q + 135543. Give o(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 32. Let t(y) = -9*y - 877 + 10*y**2 + 872 - 3*y**3 + 4*y**r. What are the prime factors of t(-10)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -4. Suppose -5*q = -19 - l. Suppose -13 = -q*s + 27. Calculate the least common multiple of s and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 0 + -1 + (-1 - 6). Let f(v) = 5*v - 2. Let k(h) = -6*h + 2. What is u*f(a) - 2*k(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 - 26 = k, -5*i = -4*k - 41. Let m be 9\/45 - 28\/(-10). Solve -4*j - 2*f - 3 = -i, -m*j = -f - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 + 11*o + 44. Let a be c(-4). What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 + 2 - 1 + 1 - 12*f**3.\nAnswer: -23*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooooyoyoyyoooooyy. What is prob of sequence oyo?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -j - 2*r, 5*j - 2*r - 904 = 645. What is the smallest common multiple of j and 3?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1809\/94606?\nAnswer: -1809\/94606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 3, 4, 5?\n\"Answer: l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 306 = 4*s - 533, 0 = 3*s - k - 634. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46270 by -2.\nAnswer: -23135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024435 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -531*c. Let u(p) = -35572*p. Calculate u(o(j)).\nAnswer: 18888732*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**4 - 328*n**3 + 6716*n**2 - 4*n. Let m(j) = -7*j**4 + 328*j**3 - 6718*j**2 + 3*j. Let x(t) = -4*m(t) - 3*p(t). Suppose x(z) = 0. Calculate z.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 5, 1213, 0.\nAnswer: -4, 0, 4, 5, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 24 = -3*d - 2*d, -4*d - 18 = 3*a. Let w(k) = -k + 1. Let c(u) = 5*u - 8. What is a*w(o) - c(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 18 = 12*m. Is (m - -387)*(2 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*-4)\/(sqrt(20)\/(sqrt(16)\/sqrt(4))) + (sqrt(85)*-2 + sqrt(85))\/sqrt(5) + 0 + 1 + 5.\nAnswer: -9*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 319101397947?\nAnswer: -319101397946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -11 - (-2 - -1). Let v = l + 11. Suppose -5*b + 23 = 3. Solve 0 = v*n + p - 3, -7 = -5*n - b*p - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -5*o**2 + 7*o - 599. What is n(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382150.\nAnswer: 2, 3, 5, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27642463 by -2.\nAnswer: -27642463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (-6 - -2). Suppose 0*y + 12 = -v*y. Let a be 2 - (-1 - -2) - -1. Put y, a, -4 in decreasing order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c - 1\/5*c**5 + 1\/3*c**3 + 52 - 3\/4*c**4 + 3\/2*c**2. Factor a(v).\nAnswer: -v*(v - 1)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/200*4*(-168)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - (1 + 11 + -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66136443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*c**3 + c**2 - 2*c**2 + c**2 - 38*c**3.\nAnswer: 237*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*l**2 - 549*l**2 + 114*l**2 + 109*l**2 + 114*l**2 + 138*l**2.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -2, -11 in descending order.\nAnswer: 6, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - ((sqrt(208) + 1)*1 - sqrt(208)))**2 + (0 + sqrt(208) + 4 + sqrt(208) - sqrt(208))**2)*2.\nAnswer: 48*sqrt(13) + 866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/9))**(-2\/133)\/(c**(-2\/13)*c*c\/(c**10*c)*c))**(-4) assuming c is positive.\nAnswer: c**(-506696\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, p: 1, q: 3}. What is prob of picking 1 f and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((-301)\/86).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-2 + 4 - 2) - (-6 + 3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d + 103 - 403 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*k - 159*k = -32. What is the third derivative of 149*x**3 - 417*x**2 + 54*x + 209*x**2 + 209*x**k wrt x?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 3*u - 12, 4*u + 15 = -5*r. Suppose 0 = -4*q + 6*o + 4, -4*o = -33*q + 38*q + 41. Which is the closest to -2\/3? (a) -0.5 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641150615 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.4, 0.07, 0.5, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 2. Let z(a) = a + 1. Suppose 0 = -3*f + f + 4*c + 12, 10 = -5*c. Calculate f*k(u) - 5*z(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 1\/3*b**3 - 1\/4*b**4 + 0*b - 3 + 0*b**2. Give p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1013 or 23950?\nAnswer: 23950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*q + 26, 0 = q - 4*q - 12. Do a and -17 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.6 times 5?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/3 - 22229772*x + 133378636\/3 = 0.\nAnswer: -66689318, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j - 3. Let s(w) = -w**2 + 3*w + 3. Let q = 3131 + -3134. Let g(u) = u**2 - 2*u - 2. Calculate j*s(h) + q*g(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - j - 21913 - 4426, -3*m - 5*j + 15837 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3*r**2 + 9*r + 771. Let n(y) = -3*y + 5. Let m be (10\/8)\/(14\/(-56)). What is m*n(g) + 3*h(g)?\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46789 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 4*o + 4. Is 3 a factor of f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v**2 + v. Let u(q) = -144*q**4 - 3*q**3 + 20*q**2 - 3*q - 5. Let s(x) = -3*d(x) - u(x). Find the third derivative of s(z) wrt z.\nAnswer: 3456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.017444 and -382.\nAnswer: -382.017444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 + 18 - 19)*(2*v + 0 + 0) - 2*v + 2*v + 2*v + 4*v - 4*v + 9*v)*(v**2 - v**2 - v**3).\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 - 22530 - 11*p**3 - 8*p**3 + 22530.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*sqrt(19)*-2)*-6 + (sqrt(1216) + -1)**2 + (sqrt(228)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: 32*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/25989302 and -19\/6616.\nAnswer: 103957208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 41 = b - 400, b - 3*h - 459 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/441 and -149\/18?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 16) in base 11?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.04 (c) -5\/2336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*i - 180 = 0, -31 + 19 = 4*i. What is the least common multiple of y and 275?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2857653 and 188352.\nAnswer: 2943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110110000010100101001100 - -11?\nAnswer: 100110110000010100101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 62\/21, -3, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.6. Let h = -976 + 977. Let g = -7 + 3. Which is the closest to h? (a) g (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 - 45. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -828 - -861. Solve 0 = f*m - 20*m + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 975*v - 796*v - 2 in the form l + h*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d - 2*i + 3, 3*i + 2 = -2*d. Let m(a) = 2*a**2 - 10*a + 3. Let f be m(4). Put f, d, -12 in increasing order.\nAnswer: -12, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 2. Let n be r(4). Let s be (n\/(4 - 1))\/2. Suppose 5*z - 2 = -7, s*o - 4*z = 99. Calculate the greatest common divisor of 152 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11 and -2 + -1 + (-200)\/(-45).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + i - 112 = 0, -2*c + 49 = 3*i - 4*i. What is the highest common factor of c and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 2*o. Suppose j + o*j - 14 = -4*m, -12 = -4*j - 4*m. Let q = j + -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2841 + -114. What are the prime factors of k?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435976422 divided by -679091.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 0 - 2*x**3 + 3*x**3 + 1 - 3*x**2. What are the prime factors of y(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 107527168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 372940 = 4*g, -122*g - 298393 = -4*h - 127*g. Is 148 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 8:10 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -18, -9, -4, -3, -6, -13?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 13) to base 15.\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43822308.06283 + 43823527. Let t = 1219 - q. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -4*d - 736, 0 = -4*b. Let n = 445 + d. Suppose 0 = 5*k - 5*j + 4*j - 327, 4*k - n = j. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + t - 52 = -2*t, 0 = -2*t + 8. Let h be (y + 2)\/(-3) + -3. Find the third derivative of x**2 - 9*x**3 + x**2 + x**h wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13501 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2 + 2 + -3)**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 4:14 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose -2*p + 8 = -s*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14747*j**3 - 219*j**2 + 3*j**4 + 0*j - j + 14753*j**3 - 90*j**2 as o*j**4 + u*j**3 + l + b*j + s*j**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12001 (base 3) to base 4\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/40 and 27\/424?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -71, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l**3 - 34*l**3 - 13*l**3 + 311*l + 0*l**3 - 309*l.\nAnswer: 22*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, -0.3, -0.66, 2\/9 in decreasing order.\nAnswer: 1\/4, 2\/9, -0.3, -0.66, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -15 - -7) + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 12 - 4) + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 11 = -36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyoy when four letters picked without replacement from yyyyyyyyooy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose o*p + 4*v = 3*p + 11, -3*p = -v. What are the prime factors of 39\/(2 + 1) - p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-10 - ((11 - 1) + 13 + -15 + -7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b2 - 2?\nAnswer: 5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1732 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v**2 + 3*v**2 - 3 + 2*v + 4. Suppose 3*c - 5 = -2*z - 21, 0 = -2*z - c - 8. Let m(q) = q**3 + q**2 - q. Let h be m(z). Calculate s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*p**2 - 2 - 75*p**2 - 1.\nAnswer: 26*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 22 = -5*n, 51*u + 19 - 29 = 53*u + 3*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33 - -32)\/((-1)\/9). Suppose -6*b + 1758 = 3*f - p*b, -3*f - 3*b = -1728. What are the prime factors of f?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006639 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*u + 32, 0 = -34*u + 40*u + 12. What is the smallest common multiple of 273*(-1)\/((-6)\/4) and p?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 2*k**4 + 3 + 3*k**2 + 8*k**2 - k**3 - 25 - 9*k**2 + 46 in the form c + g*k**2 + m*k + b*k**4 + d*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2054 + 2050. Let g = -10 - -59\/6. Which is the third biggest value? (a) g (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:57 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3\/3 - 4*t**2 - 2*t - 7. Let n = -17 - -11. What is the least common multiple of x(n) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4*o + (2*o + 0*o - o)*(0 + 0 - 1))*(0*o - 2*o**3 + 0*o) to v*o**2 + k*o + i*o**4 + x*o**3 + g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57639 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -112. Let u = -21 - p. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -2.5. Let a = -1473.966092 + 1481.466. Let w = v + a. Round w to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053797879916 + -9\nAnswer: -8.946202120084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196600578, 393201155, 589801732, 786402309, 983002886?\n\"Answer: 196600577*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0496 + 0.6124. Let u = y + 0.338. What is the closest to u in 1\/3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-20))\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91561509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1415296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + s + 1. Let u(f) be the second derivative of -f**5\/20 + 5*f**4\/12 - f**3\/2 + 3*f**2 - 11*f. Let k(r) = -u(r) + 4*x(r). Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13340237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**4 + 44*l**3 + 78*l**2 + 2*l + 2. Let v(h) = -35*h**4 - 310*h**3 - 545*h**2 - 15*h - 15. Let j(t) = -15*o(t) - 2*v(t). Find b such that j(b) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 42850*b**2 + 100470860*b + 36205859640 = 0. What is b?\nAnswer: -4066, -438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 5. Let k = -59 + 61. Let j be i(k). Let x(v) be the third derivative of v**5\/60 - v**4\/24 - v**3\/6 - 4*v**2. Determine x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**4 + 11*y**4 + (3*y**3 + 2*y**3 - y**3)*(-y + y - 2*y) + (4 - y - 4)*(-y**3 - 3 + 3).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - (-3 - -1)) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 12*t - 240 = 0. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.05, -5, -3\/8, 0.4, -48?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675845273954138*y - 675845273954138*y + 7*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -19, -29, -39, -49?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-4))\/(27\/6))\/((-176)\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*(-39)\/(-2860)*6\/(-2))\/((-147)\/(-56))?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -22) + (43 + -94 - -47)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.44\nAnswer: -0.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 31 + 47. Solve -2*a - 2*o + 0*o = 6, -3*a = i*o + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 51\/(-18)*-6 + -11. Suppose o + 3 - 7 = 0. Solve b = -c + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 61 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16149751 is divided by 108.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14070 and -1\/1221108.\nAnswer: 409071180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01871 - 0.23?\nAnswer: -0.24871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(209) - (sqrt(209) + -1*sqrt(209))*3))\/(sqrt(66)\/(-5*(sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(18)\/sqrt(3)))))))**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2419\/340 + -54\/85. What is the common denominator of j and 19\/139?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.051788l?\nAnswer: 8051.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 1.1, -1\/6, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2801\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -454, -1705, -3770, -6655, -10366?\n\"Answer: -s**3 - 401*s**2 - 41*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/70*(-7)\/(-16)*8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 33 = o - o, -1 = -w + o + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) 0.5 (d) -14.1 (e) 6\/205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f = -3*j - 33*f + 1, -12*f - 68 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -173388.\nAnswer: 49\/173388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 4, u: 7, l: 3, w: 2}. What is prob of sequence aaxu?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*sqrt(39)\/sqrt(3) + -1 + sqrt(65)\/(-1*sqrt(5)) - (0 + 3 + (0 + sqrt(637))**2*-5).\nAnswer: 4*sqrt(13) + 3183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 10*u = 3*u - 1104. Solve 492*l - 500*l = -u for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77))\/sqrt(11))**2 - 6*(sqrt(7) + 0 - sqrt(7)) - ((sqrt(70) - (1*sqrt(70) + sqrt(70)))\/sqrt(10) + 1).\nAnswer: sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 301*r - 1179266 - 950008. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 17*l = 2*a + 5294, -5*l + 6630 = -5*a. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 6) in base 4?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffee when four letters picked without replacement from {e: 11, f: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*l**2 - 260 + 136 + 123.\nAnswer: 253*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 1. Let n be m(8). Is (1570\/n)\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - t = 49, -4*j + 2*t + 44 = 6*t. Let y be (-2)\/(1 + (27\/j)\/(-3)). Let i(o) = 3*o**2 - 2*o. Let z(g) = g**2 - g. Give y*i(v) + 10*z(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.00558.\nAnswer: 0.03906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1544004669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.234584kg?\nAnswer: 7234584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 + 4*q - 5. Give c(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 - 7*x**3 + 5*x**3 - 95 - 13*x**2 - 4*x**3 - 19*x. What is the tens digit of c(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0077552657 * -4.\nAnswer: 0.0310210628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3190 + 281918*p**2 - 282 - 281916*p**2)*(-2 + 3 + 1)*(-2*p - 2*p + 2*p).\nAnswer: -8*p**3 + 13888*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/60 + n**3\/6 - n. Let g(i) be the second derivative of y(i). Let o(m) = -m**2 + 3*m - 3*m. Calculate o(g(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1523788 + 5\nAnswer: -1523783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -253. Which is smaller: z or 181?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.0522 litres in millilitres?\nAnswer: 503052.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 16.546?\nAnswer: 18.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.7. Suppose 0 = -8*s + 100 - 28. Suppose s*c - 3*a = 4*c, -2*a - 5 = -5*c. What is the third smallest value in c, w, 0.5, 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 16*y + 56. What is t(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 != 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 14, 33, 72, 137, 234?\n\"Answer: h**3 + h**2 - 5*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 4, -22 in increasing order.\nAnswer: -22, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4717113 tonnes?\nAnswer: 471.7113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from ppmpppppmp.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*n - 17. Which is the second smallest value? (a) 1\/6 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1, 13, -67 in increasing order.\nAnswer: -67, -22, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 74, 95, 122, 155, 194?\n\"Answer: 3*b**2 + 6*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r + 92. Suppose 7*g - r + 1 = 0. Suppose 3*c - 5*i - 2 = 0, 7*c = 11*c - 5*i - g. Solve c*m + 5*v + 31 = 0, -3*m - 2*m - v - 23 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 3. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.67 + -93. Let i = -2.81 + k. What is i rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 6*c + 2*t + 4, 3*c = -3*t - 6. Solve c*g - 2*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (13 - (-45)\/9*2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/423? (a) -6 (b) 2\/9 (c) 2\/7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18964 - -20944. What is the greatest common factor of c and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11629, 23254, 34901, 46570, 58261, 69974?\n\"Answer: 11*l**2 + 11592*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 941 + 20629 = 0. Suppose 5*p + n + 10715 = 0. What is p rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 11. Let l be (n\/(-7 - -4))\/(-2). Calculate the highest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - (-10 - -13 - 0)) + -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -11*y**4 - y**2\/2 - 38*y - 161. Find the first derivative of f(o) wrt o.\nAnswer: -132*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v - v. Let u be (v - -1)\/(10\/(-525)). Let w be u\/(-9) - 1\/(-3). What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 - 13*w. Let v(j) = 12*j**2 - 27*j. Let t(y) = 4*v(y) - 7*z(y). Let m(d) = -d**2 + 3*d. What is -34*m(a) - 6*t(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14899 is divided by 138.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32323 - 45969 + 14436 = -208*s. Solve -85 = 56*a + s for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3894 and -44\/255.\nAnswer: 330990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w + 1329. Let n be f(-64). Solve n*i = 96*i + 102 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d**3 + 41*d**2 - 2*d + 2773 wrt d.\nAnswer: 168*d + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*d**3 + 79*d**3 - 39*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -680, -2001, -4572, -8807?\nAnswer: -15120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 24\/(-4) - (-28)\/(-32).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o - 18*o + 5*o)*(217*o + 213*o - 429*o - 352).\nAnswer: -24*o**2 + 8448*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -41*v - 39. Let o be d(-1). Which is smaller: 10\/13 or o?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-56)\/1)\/(-8) - -772.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nawzzaawzwa. Give prob of sequence wzaa.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 125.3, -282?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1625 = -4*j, 419 - 17 = j - 3*t. What is the greatest common factor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49410879\/10 - 4945381. Let r = u - -4301. What is the common denominator of 18\/210*(-85)\/(-2) and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:46 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 881*c**2 - 2*c + 887*c**2 + 225*c**4 - 2 - 2647*c**2 + 881*c**2 wrt c.\nAnswer: 2700*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*2 + 347 + -334\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((6\/(-15))\/1). Suppose -3*q + 5*l = 9, 4*l + 1 = r*q + 3. Suppose 0*f + q*f = 22. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + 10.6. Let k = d - 16. Which is the closest to 7? (a) k (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + -10 + (7 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10328328 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53.2 (b) -2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2\/6)*6. Let a be (1*(2 - 2))\/f. Is -1\/3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and 51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -34*k - 322. Determine z(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l + 110 = -148*l + 61*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let w(k) be the third derivative of k**4\/8 + 10*k**2. Calculate y(w(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5565 to two dps.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7177, 7849, 8963, 10519?\n\"Answer: 221*g**2 + 9*g + 6947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -748*m + 51. Let h be v(0). Solve 11*b + 40 - h = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4 - 9*z**3 - 13*z**2 + 9*z + 14 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -39*p - 59. Let x(a) = 2*a. Calculate y(x(n)).\nAnswer: -78*n - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206951, -207188, -207425, -207662, -207899, -208136?\n\"Answer: -237*q - 206714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.053853, 0.3, -3\/4, 0.2, -53 in descending order.\nAnswer: 0.3, 0.2, -0.053853, -3\/4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 3) to base 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -3*u**5\/5 - 26*u**2 + 49. Find the second derivative of o(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53710 - -53660.983. Let q = d - -49. What is q rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.781 + 0.219. What is the third smallest value in y, -4, -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -1. Let h(x) = x - 4. Let q be h(4). Let z(l) = l**3 - 14*l**2 + 84*l - 292. Let u be z(8). Which is the closest to q? (a) u (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 - ((-2 - -2) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*t - 13 - 15, 3*t - 20 = -4*z. Let n = 1839 - 954. Suppose -n = -3*i - y - z*y, 0 = -2*i - 3*y + 592. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27349 and 4243002?\nAnswer: 29701014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 - 9)*(118*k - 204*k - 5 + 12) to the form q + u*k and give q.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**4 + 81*p**3 - 585*p**2 + 492*p. Let v(w) = w**4 - w. Let j(n) = -a(n) + 15*v(n). Find d such that j(d) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 3, 863.\nAnswer: -1, 0.4, 3, 863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -533 by -90.\nAnswer: 533\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 2*g + 67, -4156*g + 43 = -0*a + 2*a - 4155*g for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994.\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 12. Let q(s) = -2058*s**2 + 1008. Determine -84*h(m) - q(m).\nAnswer: 1974*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smzz when four letters picked without replacement from izzzmmmmzimisiz?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 5*j + 1. Let y be c(5). Differentiate 1 + 3*l**3 + y - 2 + 1 with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d + 2. Let u be l(0). Suppose 5*k = -2*i + 13, 19 = 4*i + 5*k - u. Solve 0 = -v + 4*o + 21, 3*v + o - i*o = 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/48 + f**3\/12 - 3*f**2\/8 - 13*f + 5. Let l(b) be the first derivative of c(b). Factor l(k).\nAnswer: (k - 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/13? (a) 9 (b) -1 (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by (21 + -19)\/(10\/335).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6371 and -554.76.\nAnswer: -6925.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 1104 + 268 = 0. Solve 8*b = a - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 431\/6. Let c(j) be the second derivative of 5\/2*j**2 - q*j**3 + 0 + 4*j. Differentiate c(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 529 - 483. Suppose 0 = -51*o + w*o + 4495. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1925 and 38350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (27 - (-35 - -11))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39859*h**3 + 2*h - 27837?\nAnswer: 119577*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*w + w = -3, -r + 1 = 3*w. What is the tens digit of 16 + r + (-5 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -8 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 24*b**2 + 11216*b - 305014. What is h(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18521249*c + 895407 with respect to c.\nAnswer: -18521249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1\/3*m**4 - 1\/3*m**5 + 0 + 1\/3*m**3 - 1\/3*m**2 + 0*m = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 3. Let s(f) = -f + 9. Calculate the least common multiple of s(4) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 4*f**2 - 2*f + 2. What is r(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:36 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u + 15. What is r(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n = 104. Let h be (-1)\/(204\/n - 4). Let a(z) = z**3 - 13*z**2 + 5. What is the units digit of a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 2001\/40. Let g(r) be the second derivative of 1\/6*r**4 + 9*r + 0 + 1\/2*r**2 - 5\/12*r**3 - d*r**5. Factor g(u).\nAnswer: -(u - 2)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5 and 49\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0 - 1\/12*c**4 + c**2 - 1\/2*c**3 + 0*c. Differentiate o(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4\/219783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713333 and 6821?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8339 = 1971*r - 1702*r for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1\/4, 15028 in descending order.\nAnswer: 15028, -1\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155 - -159. Suppose 4*n - 2 = c*b + 6, 0 = -4*b - 3*n + 13. Let z(g) = g**3 - 5*g**2 - g + 1. Let s be z(5). Put -5, s, b in descending order.\nAnswer: b, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*b - 8, 2*g - 3 = b + 2. Let z(f) = 3710*f**3 + f + 3 - 1851*f**3 - 1858*f**3 - 4*f. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 54. Suppose -2*u + 3*u - 5 = 0. Solve 0 = f + u*g + 27, -d*f + 6 = -3*g - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*1*(3 + ((sqrt(1216) - sqrt(1216)*3)*1 + sqrt(1216) + sqrt(1216))**2 + sqrt(1216) + -3).\nAnswer: -40*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-20\/7)*m\/((m*m*m**25*m)\/m))\/(m*m**12\/m)**(2\/19))**(-40) assuming m is positive.\nAnswer: m**(124520\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 203930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1585368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10477388*-0.3\nAnswer: -3143216.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 + 159*x - 1259. Give w(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4971.\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 756, 757, 758?\n\"Answer: p + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305424442 - 32?\nAnswer: -305424514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25464 + -130?\nAnswer: 25334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 31. Let j = -6 - h. Let m(t) = -t**2 + 4*t + 7. Let c be m(5). Calculate the greatest common factor of j and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -7*c - 30*c - 140. Let d = 7 - 96. Sort d, -4, c in increasing order.\nAnswer: d, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-28))\/((-6)\/8). What is the closest to o in 0.3, -2\/13, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2755438 is divided by 6192?\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*n + 1. Suppose 0 = 5*f + n - 18. Differentiate 4*m**4 - 3 + 0*m**4 - 3*m**4 + f*m**4 with respect to m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 588\/(-234) - 72\/(-27).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58282 + -52274?\nAnswer: -121566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 961*q**3 + 891*q**3 + q + q.\nAnswer: 1852*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:13 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 124, 181, 232, 277?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/8 + 2*j**2. Let y(g) be the first derivative of g**3 + 825. Determine a(y(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 - 9148*y + 1741250 = 0.\nAnswer: 199, 4375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 3*z. Let v be f(-3). Let b = 7 - v. Solve 2*m - b = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from afaaaaaaaag?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ynypnny.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6647482.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 42*t = -3*n + 1007, 55 + 57 = 2*n + 5*t - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 70*i + i**2 - 70*i + 149.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - -8) + -86 + 88?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -77403 equal to -77407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 13. Let y(i) = -3*i**2. Determine o(y(g)).\nAnswer: -3*g**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-5)*1\/(28\/70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o + 50*o + 2 - 1 + 2*o. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.42 (b) -1\/2 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22906772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -3.3. Let v = x - -5. Let h = -12.059 + 16.059. What is the nearest to v in h, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*b + 970*b - 36 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by 277?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z**(-29))\/z)*z**3\/z assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 193. What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1219 and 51\/371.\nAnswer: 8533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.05 * -2917.28\nAnswer: 8897.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-1)\/6). Factor 3*u**y - 46 + 19 + 3 - 21*u**2 + 42*u.\nAnswer: 3*(u - 4)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6000065 + 1.6. Round l to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1, 0, -473\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1795487 days?\nAnswer: 258.550128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 - ((-27 - -9) + 13 - -13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**2 + 29*s**2 + 22*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 217466148 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9179 (base 15) in base 14?\nAnswer: -1141c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 673912 at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 3. Let f be -3 + (1 - h) + 1. What is the second derivative of -2*m + m**f - m**5 - m**3 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243\/(-226)*(-4)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165781\/133542 - -5\/7419. Calculate the common denominator of a and -88\/45.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.84 and -27620.\nAnswer: -1100380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/244 and 71\/3416?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49.7 and -1549?\nAnswer: 76985.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, j: 1, t: 1, f: 1}. What is prob of sequence lt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/12*12\/10. Let q be (f\/10)\/((-21)\/(-13020)). What is the units digit of q\/(-12)*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 7*x - 3*x - 36 - 9*x - x**2 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 0.2, -5, 15\/13.\nAnswer: -5, -3, -0.3, 0.2, 15\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {e: 6, j: 1, v: 1, l: 1, p: 4, n: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7410571 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 7*i - 19047 + 19033, -17 = 3*m + i for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let v(a) be the first derivative of 24*a**3 - 3*a**2\/2 - 12. What is q(v(l))?\nAnswer: -72*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2*f + 5 + 7. Let g = -1 - 8. List the prime factors of m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:19 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.6 and -0.102?\nAnswer: -1.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwurksee. Give prob of picking 1 k, 1 r, 1 w, and 1 u.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7125 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*f**5 - d*f**4 + 2*d*f**3 + d*f**2 - 11*d - 2 wrt f.\nAnswer: -60*d*f**2 - 24*d*f + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.01015 millilitres?\nAnswer: 0.03701015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 445*i - 13604. Determine s(-35).\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6172895.02699977 - -6172895. Let y = -0.22 - -0.247. Let c = y + i. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/5)\/((-37)\/(-222)*-1)*2\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -416812*b - 3751144. What is f(-9)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let n(z) = -5*z - 342. Give -n(b) + 7*o(b).\nAnswer: -2*b + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -35) + (-153 - (-59 - 70))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 262 = -93 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/385 and -81\/20?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 0 = -3*b, 25 = 5*b + 4*k. Suppose -s + b = 3. Which is greater: s or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -25, 357.\nAnswer: -25, -5, 0, 5, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - 4*q**3 - q**3 + (-3*q**2 + 6*q**2 - 2*q**2)*(3 - q - 3).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 4, z: 2, d: 4}. Give prob of sequence yyz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-54)*-606 - -23. What is the greatest common divisor of z and 5053?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3574*n = 3561*n + 330876. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times 7?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237103*w - 237114*w + 474040*w.\nAnswer: -177*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 + 4 = 5*s, -3*s = -3*g - 3. Suppose -4*q - 4 = -0*q - 4*c, 4*q + s*c = 26. Solve -4*t + t = m, q*m = -t - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-20) - (-510)\/(-25). Let x = y + 60. Calculate the common denominator of -11 and (-3)\/(-5) - (-186)\/x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303449737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 569*n + 4122. Give m(-87).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 706 + -165908\/235. Let s = a - 243\/940. Let g = 18.975 + 0.025. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 12*y + 630. Let n = y - -54. Let u(j) = 2*j + 23. Let q be u(n). Solve 0 = 2*r + f + 10, -5*f = -q*r - 4*f - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3))**(18\/7)\/(m*m\/(m**(-3)*m)*m**(-6)))**(-42) assuming m is positive.\nAnswer: m**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = 2625*m - 2635*m. Calculate the remainder when 3653 is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 21*l - m - 44, l - 4*m = 24. Solve 0*f - 5*f - 4*s = -17, -f + 3*s - l = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - 3) - (12 + -8 + 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*s**2 - 2587*s**2 + 624*s**2 + 693*s**2 + 686*s**2.\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 31*g - 13. Is u(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(8340\/9))\/(50 - 51). Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*d**2 + 92*d**2 + 93*d**2 + 6*d**3 - 30*d**3 + 27*d**2 wrt d?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1320 and -103\/28710?\nAnswer: 114840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -3 (c) 1614 (d) 1 (e) 0.3 (f) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*n + 1 - 10 = 0, 0 = -i - n + 5. Suppose y = -5*h - i*y + 331, 2*h - 146 = -5*y. Let p = -443\/7 + h. What is the closest to p in 2\/7, 0.5, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001101111 + -10?\nAnswer: 10001001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/5 (b) 1\/9 (c) -3 (d) -24.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -10*n + 30. Solve -p + n*o - 8 = 0, 4*p + 16 = -3*o - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a + 30 = 0. Suppose 0 = k - a*k + 210. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a + 2632. Let r be m(0). What is the common denominator of -3\/10 and (-2)\/(-6) - r\/480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 3*m. Let a be r(-3). Suppose -5*n = -5*p - 2 + 7, a = 3*n - 3. Solve -3*z = -u - 2*z - 3, -p*z = 3*u + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5, 4\/5, 3, 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -1013?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4373 - 8793 = 48*p + 122*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 4 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 3\/(-9))*3. Let x = -1 - g. Suppose 109 = x*w - 3*u - 79, 0 = u + 4. Calculate the remainder when w is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28706300 divided by -460\nAnswer: 62405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -856 - -1344?\nAnswer: 6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.1, 4, -3\/1796?\nAnswer: -3\/1796","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28022, 3\/2, -2\/9, -1\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 717937621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:05 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.146*141953.\nAnswer: -20725.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - (-856)\/(-20)) + (-855)\/(-2850))\/((-6)\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 86. Let u be m(-15). Suppose 3*k - 10 = -1. Solve 3*d - u*v + v = -9, 4*d + 11 = k*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 30*a**2 + 181*a - 3484. Give n(28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 941\/2 - 475. Which is the closest to -2\/5? (a) 0 (b) 0.1 (c) p (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 5*o = 25, 0 = -5*j + 4*o + 29. Suppose 3*u - 6828 = -j*u. Suppose -2*g = -3*x + u, 2*x - 4*g = -2*x + 756. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32220121 (base 4) to base 16.\nAnswer: -ea19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -157, -278, -371, -394, -305, -62, 377?\n\"Answer: 7*i**3 - 49*i**2 - 9*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19914192 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03429 + 3.96571. Which is the smallest value? (a) 0.5 (b) k (c) 5\/138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 23. Suppose c = 5*d + 4*v, -d + 6 - 11 = 3*v. Suppose 1 = -2*o + 13. Solve -d*a + o = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 - (-1)\/(-1). Suppose 0 = 3*v - a*v + 5*t - 46, -5*v = 2*t - 64. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(512) + 3*(2 + sqrt(512) - sqrt(512)))**2 + -3 + sqrt(512) + -2 + (-2*(-1 + -4 + sqrt(512) - sqrt(512)))**2).\nAnswer: 1040*sqrt(2) + 3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7 + (-2 - (2 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4850212, -9700425, -14550638?\n\"Answer: -4850213*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -852*v + 3535. Calculate k(4).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -3.93. What is the nearest to 1 in k, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6 + -57 + 5805\/90\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 50 - 82) + 185.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 7 - 57*r - 1 + 1 - 11.\nAnswer: -57*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 54434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -65. Let j = -14 + y. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 1 + 4*q**2 - 7*q**2 + 22*q**3 + 3*q**2. Give y(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzz when four letters picked without replacement from wzzwzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, w: 5, r: 6}. What is prob of picking 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12121068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51*3*(-4)\/12. Let r = o + 21. Let k = -10 - r. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2*l + 1. Let h(b) = 4*b**2 - 33*b - 2. Give -h(u) - 6*w(u).\nAnswer: 2*u**2 + 21*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16413 - 16413 + 42*h**3.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 29*r - 69. Let j be g(26). Solve 743*n**2 + 8*n - 784*n**2 - j*n = 0.\nAnswer: -1\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196.7 * -244.31\nAnswer: 48055.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 - 199*x**4\/2 + 392*x**3 - 390*x**2.\nAnswer: x**2*(x - 195)*(x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -55?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 + 406 = 4*f + 10*a, f = 4*a - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 2*i**2 + 12964*i**3 - 2*i**2 + 1276*i**3.\nAnswer: 14240*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 16 (d) -3\/8 (e) -1\/421 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let b(k) = 4*k + 118. Let c be b(-29). Let m(g) = -70*g**c + 204*g**2 - 106*g**2. Determine m(u(p)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z - 3*z + (-4 + 4 - 3*z)*(6 - 1 + 0))*(-2*z + z + 0*z) to g*z + c*z**2 + v and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -7. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -31 (b) -1 (c) 11 (d) -13\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 50778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 3*d. Let s = 21 + -24. Let a(o) = o. Let p(z) = 2*z. Let v(x) = s*a(x) + 2*p(x). Give u(h) + 3*v(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 556*z - 28896. Calculate c(58).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Let s = -5 + 5. Let l = 0 - s. Solve -u + q*u - 3 = l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 2\/15, -1007, 0, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*k**3 - 776*k + 776*k + 111*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)*i*i*(i*i**(-6))\/i)\/((i*i**(2\/17)*i)\/i*i**(-7)) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 32\/(-8) + -54*11\/22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - -12 - 4*1. Let w be 11\/x*(-28)\/(-14). Put -4, w, -3 in descending order.\nAnswer: -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -17 (c) 4 (d) -931797\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**4\/24 - u**3\/6 + 63*u**2. Give g(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516845 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - x = 1, -2*u + 4*x + 5 = -x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c - 23*c - 15*c)*(c**2 + 23 - 23).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/4, 4, -0.25, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 23*b**2 - 26*b - 45. Let p be g(-24). Let a(u) be the first derivative of -1\/4*u**4 - 16 - 3*u + 7\/3*u**p - 3*u**2. Give a(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277614247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6852 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -27\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 18*n + 176. Give h(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(7)*-1) + sqrt(10))\/(sqrt(288) + sqrt(288)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -96967.\nAnswer: -96967.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01891343 rounded to four decimal places?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19294, 7, 2, -4.\nAnswer: -19294, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3890471089\/2601 + 3547576470088621\/2371747860. Let j = -2\/45593 - l. Find the common denominator of j and ((-1)\/44)\/(8 + (-1263)\/158).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16848, 33684, 50516, 67344, 84168, 100988, 117804?\nAnswer: 134616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o - 2*w + 19, -2*w = 6. Solve -o = -4*j - 4*h + 15, -4*j + 5*h - 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9157 - 0.9152147. Round h to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, l: 1, h: 1, q: 1, e: 1}. What is prob of sequence fl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 17*j + 15. Let a(h) = -h**2 - 8*h + 7. Let o(t) = -5*t - 35. Let b be o(-6). Let r(k) = b*a(k) + 2*z(k). Give r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -55, -6*d + 11*d = 4*b - 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 14 + (-100 - (-174 + 217))\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f + 49. Let q(r) = 15*r + 180. Let b(h) = 3*q(h) - 11*z(h). Let w(p) be the second derivative of p**3\/6 + p**2 + p. Determine 8*b(l) - 5*w(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + -124. Let s = m + 233. Solve -16 = 5*l - 4*p, s*p - 3*p = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(-2\/11)*q)*q**(1\/34) assuming q is positive.\nAnswer: q**(453\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/117)\/((-8)\/(-6))*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6. Let z(t) = t**3 + 6*t**2 + 7*t. Let d be z(-5). Let g(v) = 22*v**2. Let f(i) = 2*i**2. Let q(k) = d*f(k) + g(k). Give q(a(s)).\nAnswer: 2*s**4 - 24*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r. Let b(g) = -727*g. Calculate b(s(k)).\nAnswer: 1454*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - c = -22, -2*c = l - 4*l + 21. Let v = -132 - -252. Suppose 5*d = -l*o + v, -o + 5*d + 5 = -31. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) - sqrt(63) - sqrt(7)) + sqrt(28) + 1.\nAnswer: -7*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 184.\nAnswer: -9\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4387?\nAnswer: 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2400260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35\/8 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 26*t + m - 4 = 0, 2*m + 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 66*w = -309808. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttggprgrgrrpmgrrg. What is prob of sequence rrg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/81 and 74\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -104, -192, -324, -506?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5983222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 101.3. Let d = -27 + x. Let n = 0.3 + d. What is the closest to 1\/4 in n, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1014 and 75634?\nAnswer: 2949726","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 3939047213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/8))**(-15\/4)*(d**(3\/4))**(-25))**13 assuming d is positive.\nAnswer: d**(-8385\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-1970)\/(-37824))*(-100)\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = -5*h + 7, -2*h + 2 = 2*j. Does 20 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.1746 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/(15\/10 + -3). Let g be (2 + q)*(-8)\/24 - 3. Let b(d) = d**2 + 13*d + 9. Let z be b(-14). Put z, 0, g in descending order.\nAnswer: z, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u - 54. Let f(z) = -5*z - 51. What is 2*f(t) - 3*m(t)?\nAnswer: 8*t + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 3*r + 5. Let p(n) = 9*n**2 - 6*n - 10. Let m(f) = 7*g(f) + 4*p(f). Let t(k) = k**2 - 12*k - 8. Let h be t(13). Determine m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 493081582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1065, -2, -5, 4 in descending order.\nAnswer: 1065, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 2*h**2 - 8*h**3 + 7*h**3 - 2*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:42 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 1}. What is prob of sequence go?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:51 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 50. Suppose -8510 = -3*u + t*u. Let l = u + -545. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9) + (-47)\/(-198). Let w = -2\/11 + m. Which is the closest to 1\/2? (a) -0.3 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74639136 divided by 156?\nAnswer: -478456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**3 - 6*r**2 - 2*r + 2. Let b(t) = -7*t**3 + 6*t**2 + 3*t - 3. Let x(f) = -2*b(f) - 3*z(f). Find the third derivative of x(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k**(2\/7)*k)*k*k**(4\/5)*k*k**(-12\/7)*k**(-24) assuming k is positive.\nAnswer: k**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/(-30) - 201\/(-6030)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, q: 2, k: 2, v: 4, r: 1}. Give prob of sequence qkq.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-8))**(-5\/4)\/((x\/x**(2\/5))\/(x\/(x\/x**2))*x**(-3)\/x**(-2\/9)) assuming x is positive.\nAnswer: x**(-262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254177630 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002104394 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 8 - -19) + -12 + -53?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19563 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33557696 by 8389424.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 672592621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5636005177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.123 + -4.957. What is t rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -146\/11 in 10, -3, 63, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)\/(sqrt(8)*1) + sqrt(51))\/sqrt(3))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 104 + 88. Let i(b) = -b**2 + 3*b + 10. Determine i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -261 and 1147.\nAnswer: -299367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 36*f**3 + 21*f**2 + 21. Let q(n) = -7*n**3 - 4*n**2 - 4. Suppose -4*w + 2*y + 0*y - 82 = 0, 3*y = 5*w + 102. Give w*q(s) - 4*a(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 16 = -r, -d + 1 = 100*r - 99*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/2 - 12*u**4 - 69*u**3\/2 - 42*u**2 - 18*u = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkkckkccckkkcc. What is prob of sequence ck?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 149. What is a(-34)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 660\/(-165)*(-1)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + k + 149, 4*k + 157 = -4*y - 39. Let v be ((-120)\/y)\/((-3)\/(-25)). Solve q - v = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 89*m**3 - 3*m**2 + 3*m. Let z(k) = 179*k**3 - 7*k**2 + 7*k. Give -7*o(c) + 3*z(c).\nAnswer: -86*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43190?\nAnswer: 2, 5, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36520388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37.711*4\nAnswer: 150.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(91)*-2 - (sqrt(91) + 4*(sqrt(91) - (sqrt(91) + -1*sqrt(91)) - sqrt(91))))\/(-4*sqrt(42)\/sqrt(6)*-6))**2.\nAnswer: 1573\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1786*g - 3538 = -1908*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.619687 nanometers in centimeters?\nAnswer: 0.0000000619687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 122. Let t(b) = 8*b + 1. Calculate t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 920.9 + -921. Which is the closest to -1? (a) z (b) -5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2021249 and 12869.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/((-20)\/25)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*s + 1 = -3*s, 0 = -5*c - 3*s + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvmm when four letters picked without replacement from {v: 5, m: 2, j: 2, l: 2, y: 5, b: 1}?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29157 and 137?\nAnswer: 3994509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**4\/6 + v**2. Let h(o) = -2*o. Let g(a) = a + 3. Let j be g(-2). Let z(y) = -y. Let f(t) = j*z(t) - h(t). What is f(w(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 times -100.341\nAnswer: -42.14322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501 - 505.23. Let q = -75.73 + 75.5. Let j = n - q. Put j, 0, 1\/4, -0.5 in increasing order.\nAnswer: j, -0.5, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.244576 + 19.8982698. Let g = 1.82368 - r. Let u = -0.17 + g. Round u to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*k*w**3 + 4*k*w**2 - 145*w**3 wrt k?\nAnswer: 31*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 24, 4, -0.04, -2, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -488*f**2 + 3458*f - 13. Give x(7).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.19*17.66\nAnswer: -3.3554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, u: 1}. What is prob of sequence ukw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 426000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 1, 1\/7, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 8*z + 4. Let a be i(-8). Suppose 0*m - 6 = 3*m, -4*m - 44 = -a*b. Find the first derivative of 3*f - b - 7*f + 7 wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-208)\/(-56) - (-4)\/14)*(-12 + 221) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19771 = 3*m - 19690 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -64. Suppose 2*p + 5*m - 51 - 9 = 0, x*p - 4*m = 136. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 3*l - 5. Let d(i) = -i - 1. Let u(s) = -2*d(s) + t(s). Let w be u(2). What is w rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591, 787, 1117, 1581, 2179, 2911?\nAnswer: 3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4086993 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -376*m. Let z(g) = 25*g + 12. Let y(t) = -21*t - 10. Let o(s) = -s**2 + 6*s + 141. Let x be o(-9). Let r(f) = x*y(f) + 5*z(f). What is r(k(b))?\nAnswer: 376*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 19. Let b = y + -21. Is b equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-12)\/16*1). Suppose -z*g = -a - 7519995, -6*a + a - 9399975 = -5*g. Round g to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (26 - 5) - (2 + -11 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 22*l. Solve 2*x + 1 + 3 = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 8*b**2 - 6*b + 2. Let u(q) = 29 - 14 + 5*q - 17. Give -3*m(j) + 10*u(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -4 - (69 + -162).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 - 8*b - 9. Let x be v(-6). Suppose 5*c - 135 + 36 = -x*p, 4*p - 124 = -4*c. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 2. Let g = n - -61. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687*q + 71 + 67 + 70 - 208.\nAnswer: 1687*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 4:23 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-2)\/(-4))\/((-34)\/4)). Let r(y) = -y**3 - 17*y**2 + y + 60. Let x = 36 - -48. What is the remainder when x is divided by r(p)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200505 (base 7) in base 8?\nAnswer: 102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -21. Suppose b + 4 = a*d - 12, -2*d = -8. Suppose -c + x = -3, c - 13 = -b*c - 4*x. Solve 5*m + 4*k + 2 = c, 0 = 5*m + 2*k - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 12*r - 21*r + 20*r wrt r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 4:52 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 - 188. Let k be s\/18 + (-56)\/14. Which is the second smallest value? (a) -4\/5 (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:03 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 141*k**5\/20 - k**4\/6 - k**3\/3 - k**2\/2 + 6*k. Let z be o(-1). Let i = -80 - z. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -344*a**2*b**3*i - 80*a**2*b**2*i - 228*a**2*b**2 - a*b + b**3 - 55 wrt i?\nAnswer: -344*a**2*b**3 - 80*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -123. Which is smaller: c or -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uappppxpuppppppaappu. What is prob of sequence xa?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(304) - -6*2*sqrt(304)) + sqrt(304))**2 + (3*(sqrt(304) - ((sqrt(304) + sqrt(304) + -1 + sqrt(304))*-4 + sqrt(304))))**2.\nAnswer: -3680*sqrt(19) + 453716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -819552 divided by -23?\nAnswer: 819552\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 7*c + 14)*(-6 - 3*c + 6).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 362.\nAnswer: -434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-10))\/((-330)\/(-275)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/6 - 203130*n - 1218775\/6.\nAnswer: -5*(n + 1)*(n + 243755)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2299) + 1 - sqrt(2299))*6 + 3*sqrt(2299)*2)**2 + 2*(sqrt(2299) - sqrt(2299)*-2)*2*2.\nAnswer: 5016*sqrt(19) + 496800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -257 or -14\/67?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -47, -37, -27, -17?\n\"Answer: 10*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.6 and 966?\nAnswer: -17001.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = -5. Find the first derivative of -2 + 5*a - b*a + 0*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418554 is divided by 681.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1015, -1, -968 in descending order.\nAnswer: 1015, -1, -968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5626566 (base 10) in base 12?\nAnswer: -1a74146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14051792.\nAnswer: 2, 17, 19, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 + 11*a**3 - 4*a**3 - 8*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.209 to 1 decimal place.\nAnswer: -50.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 135*h + 140. Let u be x(-1). Sort -1, 72, u in ascending order.\nAnswer: -1, u, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 12*p**3 + 2*p - 7*p**3 - 6*p**3 + 0 - 3*p**3 + 3*p**4 to the form v*p**4 + b + d*p**3 + t*p**2 + g*p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (235 - 233) + 15 + 1 + -4 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 43 - (3 + 2 - 2) - 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530053173.\nAnswer: 11, 23, 677, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**5 + 26*k**5 - 9*k**5 + (k**4 - 2*k**4 + 0*k**4)*(k - 4*k + k) + 0*k**5 + 0*k**5 + k**5.\nAnswer: 26*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3639.6 + -3640. Let o = 0 + 0.1. Let p = o + 0.2. Which is the closest to 1\/2? (a) p (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**(-7))*d*d**8*(d*d**(-1))\/d*d**(-8)*(d*d\/(d\/d**(-2\/7)))**7\/(d**(1\/2)*d)**(-27) assuming d is positive.\nAnswer: d**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45439358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 + 2*l + 3. Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*f, 3*u = -3*f + 2*u + 11. Suppose -o + 9 = 3*v - f, 0 = -v - 5*o + 18. Find the second derivative of 0*r + 3*r**4 + v*r - r**4 + 2*r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from yyqyyqyyyqy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + l + 3415 = 0, -17*l + 18*l = -5*w + 4280. What is the remainder when w is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**45*(z*z*z**(-1)*z)**(-2\/13))\/(z*z*z\/(z*z**2)*z*z*z*z*z*z\/z**(-2\/7)*z*z**(3\/2)*z**5) assuming z is positive.\nAnswer: z**(165\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 + 10 + 6) - (5 + (4 - -21)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, 4, -4, -62 in ascending order.\nAnswer: -62, -4, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087 and -1?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/60 + 2\/(-8). Let g be (-4)\/18 + 2\/(-72). Which is the nearest to n? (a) g (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8984974.\nAnswer: 2, 4492487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 6 = 4*u - 5*u, -49*b - 4*u - 176 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10796 = -2*s + 10788, -5*b + 53 = -2*s for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924142 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -445, -905, -1365, -1825, -2285, -2745?\n\"Answer: -460*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -37. Suppose 0*w = 5*w - r. Differentiate w*d + 2 + d**2 + 0*d - 3*d wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (10 - (3 + 18))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00733479248 to 4 dps.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2344 to the nearest 10.\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 268\/(-57) - (-8)\/(32\/20). Let p = 9809\/399 - g. Suppose -p*s - 2\/7*s**5 - 212\/7*s**2 - 50\/7 - 26\/7*s**4 - 116\/7*s**3 = 0. What is s?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*b**5*j**3 + 7*b**5*j - 8*b**2*j**3 + b**2*j - 202*j**3 wrt b?\nAnswer: 5160*b**2*j**3 + 420*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.1. Let p be 2 - 11\/6 - (-450)\/540. Put t, -1\/4, -0.03, p in descending order.\nAnswer: p, t, -0.03, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46701643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*d + 22*d - 55*d)*(-3*d**3 + 4*d**3 - 4*d**3).\nAnswer: -774*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/40 and 71\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-1)\/4). Let d be (-6)\/6 + f\/(-3). Let w = 52 - d. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-515)\/30 + 126\/36?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 12 = 5*w. Solve 5*n = 7*n - 5*h - 12, n - 3*h = w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 260, 162, 24, -154, -372, -630?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 72206428?\nAnswer: 72206439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - i**2 - 5*i + 5. Let f(a) = -2 + a**2 + 115*a - 54*a - 59*a - a**3. What is 5*f(j) + 2*r(j)?\nAnswer: j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 7*s - 4. Let q be w(6). Solve -3*z = q - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68296838.\nAnswer: 2, 34148419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 13*w**2 + 14*w + 5. Suppose -265*y = -263*y + 28. Calculate s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245923656 to the power of 1\/2, to the nearest integer?\nAnswer: 47391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 6)\/(5 - 26312972\/5262593) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 3142*j = 0 for j.\nAnswer: 0, 1571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*d + 29 = 418*d + 4*j, 3*d + 39 = 7*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220213390 rounded to the nearest 100000?\nAnswer: 220200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4 - 239*v**3 + 257*v**3 to the form x*v**2 + g + j*v**3 + w*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p - 2. Let t be v(0). Let q(n) = 12*n**2 + 10*n - 10. Let m(d) = 4*d**2 + 3*d - 3. Let l(b) = 7*m(b) - 2*q(b). Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2129 = -124*w - 143*w + 260 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -255.9? (a) -17 (b) -1 (c) 5 (d) 14 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 152.01. Let t = -1.0198 - f. What is t rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 - v**2 + (-2*v**2 + 0*v**2 + 0*v**2)*(3 - 4 + 4)*(3 - 5 + 3).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 88 = -2*m, 558*m = -3*j + 615*m - 2568 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 5. Let r(w) = -8*w**2 + 3*w - 1. Let q be r(1). Let f(j) = 2*j - 6. Give q*c(g) + 5*f(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5, -41 - 84 = -5*o - 5*i. Calculate the greatest common divisor of 390 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 13733, -160?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -192, 1, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 4*m + 26156944 - 26156944.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*m, 0*m + 3*m - 2*w = 2. Let o be (-7)\/(-2) - 1\/m. Suppose -o*p - 87 = -5*y, -2*y - 5*p - 18 = -59. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6*z - 4 = -4*i, -2*i - 3*i + 28 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**2 - 2*q - 3. Suppose -20 = 5*b + 3*u, -5*u = -88*b + 90*b + 27. Calculate w(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 75*v**2 - 477*v + 92. Give x(68).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -148862, -1190777, -4018796, -9525971, -18605354, -32149997, -51052952?\n\"Answer: -148842*v**3 - 21*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15.88 times 283\nAnswer: -4494.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 8*r - 6. Let m(q) = 1 + 2*q**2 + 54*q - 49*q + 3. Let j = -16 + 8. Let w = 452 + -457. What is j*m(o) + w*b(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 92*h**5 + 3*h**3 + 58*h + 4. Let i(n) = 94*n**5 + 4*n**3 + 57*n + 5. Let z(m) = 4*c(m) - 3*i(m). Find the second derivative of z(l) wrt l.\nAnswer: 1720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69255 is divided by 317.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 12*w**2 + 30*w - 41. What is r(13)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 11. Let r(s) = -2*s - 5. Let t(q) = -3*j(q) - 7*r(q). Let x be t(2). Which is the closest to x? (a) 0.3 (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -44 - (-7 - -15 - (31 - (-24 + 44)))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4348, 8633, 12910, 17179, 21440, 25693?\nAnswer: 29938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 - 3*p**2)*(-456*p + 308*p - 279*p)*(p**2 + 2*p**2 - 5*p**2).\nAnswer: -1708*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -27*y - 157. Let p be q(-6). Solve 3*b - 1 = -s, p*s + b = -6 - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80\/413 - -3\/59. Let y = 3\/5 - 2\/5. Put s, 2, y in descending order.\nAnswer: 2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 9 = 6*v - 2*v, -163*a = 4*v - 161*a + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (sqrt(126) - -2*-2*sqrt(126)))*-2)\/(sqrt(18) - sqrt(36)\/sqrt(2)*-6)*-2)**2.\nAnswer: 256\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (833*y**2 - 115*y**2 + 366*y**2)*(1 - 3 + 1).\nAnswer: -1084*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/5 of a second?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, 188, 337, 520?\n\"Answer: 17*h**2 + 64*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(3\/(-18)). Let n(c) = -c**2 + 8*c + 3. Let v be n(8). Suppose 5*h = -b + 18, v = 4*b - 0*b - 3*h. Solve 1 = b*f + p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5662*n**3 + 380*n**2 + 11838304*n?\nAnswer: -33972*n + 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 208007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -877 + 709.3. Let q = l - -186. What is q rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/7*(-22)\/(1386\/(-147)))\/((-32)\/72)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322869587.\nAnswer: 53, 6091879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*t**2 + 111*t**2 + 82*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 21*p**3\/4 + 45*p**2\/2 + 9*p\/4 - 15 = 0.\nAnswer: -4, -1, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wckc when four letters picked without replacement from bcbkbccbcwwwcc?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 12*w - 273. Sort 5, 3, -4, w.\nAnswer: -4, 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144562 and 2816.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 - 7*o - 5. Let f be m(8). Let y be (-42)\/(-8) - f\/12. Suppose 0 = 2*x + 1 - y. Solve 3*l + x*l - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61919263 and 3355231.\nAnswer: 681111893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 4 + 2 + 1 - 49*x**2.\nAnswer: -66*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 + 2*c + 14. Let w(h) = 2*h**2 + h - 5. Let i(f) = 2*w(f) + z(f). Let k(n) = 21*n**2 - 27*n - 27. Calculate -27*i(b) - 4*k(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 3. Let i(k) = -k + 2. Let r(y) = -4*b(y) - 3*i(y). Suppose 3*h + 4*x = 20, 3*x - 20 = -2*h - x. Let g(c) = c. Let z be g(h). Determine r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/((-84)\/(-3))*(-57)\/209.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a**2 - a + (-3 - 13 + 5)*(-2*a**2 + 4*a**2 - 5*a**2))*(-6*a - 1 + 1) as x*a + q*a**2 + t*a**3 + u and give t.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383954, 767908, 1151862, 1535816?\nAnswer: 1919770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-15) + 713\/(-1395)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 72, 9, 5, 1 in ascending order.\nAnswer: -7, 1, 3, 5, 9, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 2*g + 3*g)*(-2 + 2 + 1) - 3*g + 5*g - 4*g + (0*g + 4*g - 3*g)*(-4 - 1 + 4) - 11*g - 70*g + g in the form l + w*g and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 4 - 4 + 18*o**3 + 10*o**3 - 4*o**3 + (3*o**3 + 0*o**3 - 2*o**3)*(48 + 0 - 6).\nAnswer: 65*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 264*z + 55*z**3 - 264*z + (-2 + z**2 + 2)*(-1 + z + 1).\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0878 in -4\/3, -2\/3, 4, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1380 = 3*u + 9*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-14)*(4 + (-64)\/12). Let c = -1 + 2. Let j = c + -4. What is the closest to 0 in s, j, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 5.5. Let o = -0.3 - -0.2. Let z be -2 + 1 + 4\/6. Which is the nearest to o? (a) y (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.27 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/1)\/(1 + 0). Let u = 305 + -293. Let w = u + g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from wjqwyqqjwwqwwyowj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4*c = -320. Let y = c + -31. Solve -3*x = -u - 2, 13 = -5*u + y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4 = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1691, 5, -4 in increasing order.\nAnswer: -1691, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2096 + 2096. Sort 50, 9, n, 4, -1 in descending order.\nAnswer: 50, 9, 4, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from dxzjjjzmddjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58225 is divided by 520.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*o, -6 + 0 = l + 3*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-4692))\/((-426)\/(-2272)).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72288416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 61*s + 121*s - 63*s)*((5 - 1 - 2)*(2 - 3*s - 2) + s - 3*s + 3*s - 26 + 26 + 14*s) as l*s + f + q*s**2 and give l.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(8844\/(-170984))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00746797 to 2 dps.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*t + 182*t - 6016 = -58*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 + 0 = 0. Suppose -4*k + 2*k + 8 = -2*i, -3*k + y*i + 10 = 0. Suppose -r = 6*r - 7. Which is the nearest to 0.1? (a) 4 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-3)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -40. Suppose 3*z + p*z = 1060. Suppose 2*v - z = -5*w, 4*v + 3*w - 396 = -0*w. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1023 or 0?\nAnswer: 1023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/650 and -93\/26.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98506.\nAnswer: 2, 49253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(490))\/(sqrt(3) - ((sqrt(198)\/sqrt(6))\/sqrt(11) - sqrt(3) - sqrt(3))).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-4 - 42) + 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 105 = -0*m. Calculate the greatest common divisor of 90 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 3, k: 3}. Give prob of sequence krt.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.2 - 90.200934. What is s rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-8 + 14 + -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 91 (b) 2\/7 (c) 0.1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n**2 + 8 + n**2 - 5*n - n**3 + 4*n**2. Is 6 a factor of m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -n - 27329 + 27328, 3*n = 2*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1 - 3*w**2 + 2*w + 3*w**2 - 2*w**2. Determine l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.05, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91\/5 in 2\/7, -0.4, -2, 1.8, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-19 - (-54 + -39 + 22))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 + -147. Let o(n) = n**3 - 6*n**2 - 5*n - 5. Calculate o(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -42, -110?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/(-12))\/((-46)\/(-4968)*18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:15 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/4))**(-14)\/((h**2*h)\/(h\/h**(5\/3)))*((h\/(h\/h**0))**(-3\/5))**(-4) assuming h is positive.\nAnswer: h**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(26)\/(sqrt(126)\/sqrt(7)).\nAnswer: sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 11*k**2 - 8*k + 7. Let p be j(12). Let l = p - 107\/2. What is the third smallest value in 5, 0.4, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(144\/868) + 6 and -67\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -9 + (-4 - -2) + -63 + 120 + -54\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5863235 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*t**2 + 945*c**3*t - c**3 + 10*c*t**2 + c*t + 180*t**2 wrt c?\nAnswer: 18*c*t**2 + 5670*c*t - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a factor of 850469550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 400. Is a a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 0, 11 - 4 = -5*j - y. What is the third smallest value in -2\/15, j, -5, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -258, -472, -706, -960, -1234?\n\"Answer: -10*p**2 - 184*p - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*k + 4*k + 1920 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.42 + -2.58. What is the fourth biggest value in v, 2\/3, 1, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.9526035 to 1 decimal place.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*b - 25. Do b and 25 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18938*m + 22 - 33 + 10 + 1078*m to c + h*m and give h.\nAnswer: -17860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*6\/(-285)*(-4)\/8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73786534823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/8024959 - -35719089597\/5842170152. Let c = -49\/8 + k. Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26217 + 1337077\/51. Is 2\/5 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 314343 = -314700 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 220. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1571 * 53\nAnswer: 8.3263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111 + -1?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/660 - o**5\/330 + o**4\/33 + 4*o**3\/33 - 315*o**2\/2 - 129*o. Let i(f) be the first derivative of q(f). Factor i(p).\nAnswer: -2*(p - 2)*(p + 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3074 + 3074.7017. What is n rounded to 2 dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1452 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 21 - -1 - 1189125\/(-125)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/167? (a) -0.11 (b) -1\/6 (c) 0 (d) -888 (e) -3\/2 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -32321.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n - 1621907 = -57*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 24. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*l - 85*l - 6699 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -175, 0, 3\/7, 2, 6, 14 in increasing order.\nAnswer: -175, -3\/7, 0, 3\/7, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204274.\nAnswer: 2, 3, 23, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2875*x - 41541. Calculate u(15).\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**6\/1080 - p**5\/180 + p**3\/6 + p. Let y(v) be the second derivative of f(v). Find d such that y(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:35 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34839 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*q - 659*q = -303*q - 3958220. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1220 + -322412?\nAnswer: -321142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/3))**(1\/4))**(-35))**(-2\/147) assuming i is positive.\nAnswer: i**(5\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 20. Let r = n + 10.00000036. What is r rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 30 - 4. Let j = -9 - u. Suppose 0 + 1\/5*w**5 - 1\/5*w**3 + 1\/5*w**2 + 0*w - 1\/5*w**j = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 4*m**4 - m**4)*(-84*m + 20*m + 16*m) + (4 - 4 - 2*m)*(-2 + 2 - m**4).\nAnswer: 98*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, c: 5}. Give prob of sequence kcc.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7*t + 1674 = -9*t, -2529 = -3*k - 3*t. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*m = -83, 4*c = -5*m - 161 - 0. Let z be c*(-3)\/18 - (-13)\/39. Solve 0 = z*b - 2*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1013020?\nAnswer: 1013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 6*d**2 - 109*d + 7. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 39 = -29*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384 + 594. Suppose -2*o = -78 - s. Let r be 1*-5*o\/(-15). What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479718 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1002960 and 143\/334320.\nAnswer: 1002960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (199\/4 + -1)\/(144\/(-384)). Let m = f - -133. Solve -6 = g - 2*z - m, 3*g - 3*z + 12 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 22*b**3 + 38*b**2 + 18*b.\nAnswer: 2*b*(b + 1)**2*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 20 = -22*t - 4*d, 5*d - 25 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/620 and 19\/249265?\nAnswer: 30908860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 13505884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0422299, 3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/30*(-28)\/(-84). Let q = 8826\/19055 + 12\/515. What is the third smallest value in 5, y, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 126. Let g(t) = 11*t + 7. Let n(d) = 12*d + 7. Let a(w) = -4*g(w) + 3*n(w). Let b be a(-3). What is the highest common divisor of p and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062\/(-13275)*2160\/(-64).\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + 409*t**4 + 23485*t**3 + 383875*t**2 - 1231250*t - 53750000.\nAnswer: (t - 10)*(t + 25)**3*(t + 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 203*g**2 - 2*g - 2261. Determine u(0).\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7080257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanqnnyqah. Give prob of sequence yn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/(280\/180). Which is the closest to 2? (a) -4 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341507550 divided by -7167?\nAnswer: 47650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-12 - (1 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 21) + 3 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:35 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/(-252) + 1\/(21\/3237).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*f + 3*f - 10, 26 = -4*y + 2*f. Let x = -222 + 224. What is the biggest value in y, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 29*k + 99. Let b be g(0). Solve r - b = -32*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**4 - 468*n**3 - 5232*n**2 - 20416*n - 26880 = 0.\nAnswer: -105, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -10)\/((-1)\/(-9)). Suppose -5*a - f - 333 = 0, a + 54 = 4*f - 0*f. Let t = a + v. Solve 5*u - 4*m + t = -0*u, -5*m = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*y + 16595*c**2 + 4*c + 148762*y + 1 wrt c.\nAnswer: -4*c*y + 33190*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*n + 469 - 1521 - 1998. What is the remainder when 70 + (1*2 - 1) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 2*r - 3. Give u(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose -v*q - 1 = -13. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 18. Let r be n(-14). Does 26 divide r + 4\/4*212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s**2 + 4*s. Let m be l(-4). Suppose 5*p - 19 - 16 = m. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*-2*sqrt(208) - sqrt(208)) + 4)**2.\nAnswer: -151104 - 2112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*c**4 + 6*c**3 - 441*c?\nAnswer: 540*c**2 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 151, -51, -19, 103 in descending order.\nAnswer: 151, 103, 3, -19, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 707055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88, 413, 968, 1765, 2816?\n\"Answer: 2*t**3 + 103*t**2 + 2*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 5*v + 0 + 3 in the form s*v + x and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1450)\/6090*((-2)\/35 - (-4 + 4))?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -369, -710, -1051, -1392, -1733, -2074?\n\"Answer: -341*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1470 * 0.81.\nAnswer: 1190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-395 + 85 - 5)*(0*y - 3*y + 2*y) - 4*y + y + 0*y)*(0 + 0 + 4) as l*y + i and give l.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/7 + -37\/21. Let z = -3.94 - -4. Let f = -0.04 - z. Put f, -3, g in increasing order.\nAnswer: -3, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65920\/2472)\/((-3)\/(-9))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -3.5. Let d = -0.4 - x. Let n = -920\/9 + 102. Put d, n, -0.3 in descending order.\nAnswer: n, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145? (a) 0.3 (b) -1\/2 (c) -0.03 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1629, 1595, 1537, 1455, 1349, 1219?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 equal to -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5579 - -5598. Let p(i) be the first derivative of -n*i + 0*i**4 - 11\/5*i**5 + 0*i**3 + 0*i**2 + 20. Differentiate p(d) with respect to d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259977038 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4) + (-231)\/12 + 5. Let g be (-28)\/210 + (-2)\/h. Suppose -3*i - 2*s = 0, s + 13 = 5*i - g*i. Calculate the greatest common factor of i and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d = -28 + 585 + 83. Let g(b) = -b**2 + 12*b + 92. What is g(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - 17) + 13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 297183 and -150.\nAnswer: 297033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30434956183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 36\/5 + 2\/5*f**2 + 38\/5*f = 0. What is f?\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and 101\/22640?\nAnswer: 22640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 297 - 291. Let s be 12 - (t - 30\/6). Solve -s = 2*k + 4*j, -k + j - 13 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.201851073 and -5?\nAnswer: -1.009255365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638941227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 8. Let f be y(-1). Suppose -f*j + 395 - 304 = 0. What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.13 + -0.18. Let f = m + 1.3258. Round f to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 26. Suppose 6*z - 1312 = 2*z + v*y, 0 = -4*y. What is the highest common factor of 41 and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-9)*-99*93\/(-14322).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose -o - f + 5 = 0, 0 = o + k*f - 0*f - 14. Factor 1\/2*v**o - 2*v + 2.\nAnswer: (v - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 26*i**2 + 50*i - 52. What is g(24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6022, 6058, 6140, 6292, 6538, 6902?\nAnswer: 7408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 6, i: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 49. Let m be (x\/(-7))\/((-8)\/42). What is the closest to 0 in 4\/7, 3, m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 88, 21680?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/4*4\/3. Let q = 66 - s. What is the highest common factor of 70 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4651 and 2.\nAnswer: -0.9302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let a(d) = -d**3 - 13*d**2 - 2*d - 16. Let b be a(-13). Let r(o) = 7*o**2 - 20*o**2 + b*o**2. What is r(u(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k)**(-25) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994992842?\nAnswer: 2, 3, 41, 59, 137453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*i = 781, -2*i + 3*i + 1 = 0. Suppose -y = y - n. Let a = -280 + y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7477733 (base 10) to base 7.\nAnswer: 120362654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2575 - -162230\/63. Let c = -17267\/63 - -1912\/7. Let a = y + c. What is the third biggest value in 4, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 704 + -2386. Let d be 6\/12 + o\/4. Let y = -275 - d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15700 - -16489. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 13. Calculate u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 divided by -6.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*b**2 + 656*b**2 + 333*b**2 - 2 - 7*b**2 + 2 + (0 + b + 0)*(1 + 2*b - 1) + 2*b**2 + 0 + 0 in the form k*b**2 + j + g*b and give k.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4 - 2) + 15. Suppose -2*j - 3*j = z. Let l(t) = -t**2 - 2. Let d(q) = -q**2 - 4. Calculate j*d(y) + 5*l(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r - 3. Let f be -66 + 82 - (-8)\/(-1). Suppose -j = 2*d + f, -132*j - 20 = -137*j + 2*d. Solve n - 1 = 0, r*n = 3*i + 8*n - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1473566, -5894246, -13262046, -23576966, -36839006, -53048166?\nAnswer: -72204446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 477*-0.5\nAnswer: -238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.78 - -23.55. Let z = 69 - v. Round z to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312322 - 3?\nAnswer: -1312331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 675\/9 - (-9 + 13 - 19)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1064*a**4 - 4*a**3 + 815*a wrt a.\nAnswer: -12768*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -937\/2 in 2, -3, 0, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/360 and -103\/2920.\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 10. Let l be z(7). Solve -l = -k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 66\/27503?\nAnswer: 66\/27503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n\/n**(2\/9))\/n))*n)**29*n**(-1\/3)*n\/(n\/(n*n**(2\/5)))*n assuming n is positive.\nAnswer: n**(1108\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)*p)**(6\/13)*(((p*(p**(-2)\/p)\/p*p)\/p)\/p*p*p)\/(p\/(p\/(p*p**(8\/3)))) assuming p is positive.\nAnswer: p**(-212\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 222416856 divided by 2\nAnswer: 111208428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s - 2. Let i be c(-4). Let u = i + 14. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r = 17*r - 4792 - 4651 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*z + 38, -3*z = -2*l - 2*l + 31. What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 + 476*a**2 - 11*a - 1010. What is w(119)?\nAnswer: -2319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 423372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 175*r**4 - 947*r**3\/3 - 816. Find the third derivative of n(l) wrt l.\nAnswer: 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 24, 6, 0.\nAnswer: 0, 6, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12687.1884 + 12686. Round q to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**3 - 11*v + 11. Let q(c) be the second derivative of -c**5\/4 + c**3 - 3*c**2 + c. Suppose 5*f + 36 - 6 = 0. Determine f*x(b) - 11*q(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s - 6. Let y be m(-7). Let o = -595 + 651. Suppose -3*k + o = y. Is k smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115583 and 3988387?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**6\/480 - k**5\/40 + 3*k**4\/32 - 16*k**3\/3 + 23. Let q(d) be the third derivative of f(d). Factor q(u).\nAnswer: 3*(u - 3)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -18, -2, 4, -13 in decreasing order.\nAnswer: 4, 2, -2, -13, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3512*l**3 - 2352?\nAnswer: -10536*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-8) + -1 + 100\/50.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*f + 10, -3*k + 2*f = -0*f. Is (-38)\/k - (-5 + 6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + i**5 + (-3*i**2 + 3*i**2 - 2*i**2)*(-6*i**3 - 42*i**2 + 42*i**2).\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(15\/3)\/55.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2)*l**(-1\/4)*(l**(2\/7))**(-31)*(l**3\/l**(11\/4))**(-26) assuming l is positive.\nAnswer: l**(-493\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/8)\/((-255)\/(-204))?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7942 + -7938. Put -5, 3, l in descending order.\nAnswer: l, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*t + 5*i, 5*t + 0*i = -3*i + 123. Let q = 30 - t. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a2 + 6?\nAnswer: 9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 22*q + i = -7, -5*i = 3*q - 56. Solve -46 + 53 = -q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1422050 and 203150?\nAnswer: 1422050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*p**2 + 40*p**2 + 75*p**2)*(30 - 8*p**2 - 30).\nAnswer: -328*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2 (b) 3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 521497380 to the nearest one hundred thousand.\nAnswer: 521500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syiwaaa. Give prob of sequence ai.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 9*f - 33484 - 23972. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 17, -29, 244 in ascending order.\nAnswer: -29, 1, 4, 17, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/7)\/n)*n*n)\/n**(1\/4))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/2 - 1)\/((-12)\/128). Let u = q - 28. Let g = u + 53. Solve 0 = -2*o + 3 - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -372. Let r be (-14)\/49 + l\/7. Let b = r - 5. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 750361 - 3133507501\/4176. What is the common denominator of l and -47?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/576 and 133\/408888?\nAnswer: 3271104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 970?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 144 = -34. What is the remainder when (-7 + 9)*16*2 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*f + 8 = -292*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*h = 2*w - 3, 12 = 2*w - 3*h. Let c = 5 - w. Suppose 12 = 3*j - c*j. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21953*g**2 - 6051*g**2 + 5507*g**2 in the form p*g + w + z*g**2 and give z.\nAnswer: 21409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2402 + 40850\/17. Find the common denominator of -11\/4 and m.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 532527525*s + 209593220.\nAnswer: 532527525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45269340*d**2*i**3 - 5*d**2*i**2 + 4*d*i*o - 2*i**3*o + 511969*i**2 wrt i.\nAnswer: -271616040*d**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 - (-3 - (4 - (11 - 7))))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -2*g - 5, 0 = -g. Let k be (-4)\/a*(-6)\/4. Factor -4\/3*l - 2\/3 - 2\/3*l**k.\nAnswer: -2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8500 is divided by 4125?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/80 - p**5\/20 + p**4\/16 + 11*p**2. Suppose l(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 7 - 1 = -4*r, -3*r = -f - 17. Let u(s) = s**3 + 4*s**2 - 4*s. Let o be u(-4). Solve 4*h + o = -r*p + 2, -5*h - 9 = 2*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8408159480 rounded to the nearest 1000000?\nAnswer: -8408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 < 0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 3586903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 473268839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 22 = -0*s + 5*b, 3*s = -4*b + 9. Let l = s - -3. Calculate the least common multiple of l and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = -8*t. Solve 0 = -3*m + t*r, 3*m - 9 = 2*r - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -12, 9, 38, 75?\n\"Answer: 4*d**2 + d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:36 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.60647059 + 1.60631359. Let r = 78 + k. What is r rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 3759710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v + 3*d + 58, -46 = -3*v - d. Suppose 4*b = v*b - 3150. Suppose -5*x + 2*q = 45 - b, -3*x + q + 163 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011001010 - 10?\nAnswer: -111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3970 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7218 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7801.\nAnswer: 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 4*j - 22, 70*j - 142*j - 16 = 4*n - 73*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2966, 0.1, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2272125.3 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 177. Suppose -6*q - 14 + 38 = v. What is the nearest to -2\/9 in -27, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11) - sqrt(11)) + sqrt(11)) - (sqrt(68)\/sqrt(4)*-5)**2.\nAnswer: -425 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*p - 12, 0*p - 24 = -5*p + 2*d. Let q(s) = -4 - 2*s + 0*s**2 - p*s - s**2. Let v be q(-4). Solve 4*t + v = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) - (sqrt(80) + -2 + 5) - (1 + sqrt(80) + sqrt(80) + 1)))**2*2.\nAnswer: 640*sqrt(5) + 2760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -7\/4 in ascending order.\nAnswer: -7\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-98) + 1*(-48)\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.42451 centimeters to meters.\nAnswer: 0.8842451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4091 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 23*y**5\/20 - y**3\/6 + 21*y + 30. Let n(l) be the first derivative of s(l). What is the second derivative of n(x) wrt x?\nAnswer: 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153984 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, -17, 339 in increasing order.\nAnswer: -17, -1, 1\/6, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**3 + 2*i**2 - 56*i**3 - 18 + 48*i**3.\nAnswer: 26*i**3 + 2*i**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/22)\/((-1)\/(-144)). Let c(p) = 30*p + 24. Let w(s) = -s - 1. Calculate g*w(r) - 3*c(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 10*x - 25*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001337 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/10)\/(-4) + 208\/(-160).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9774 and 1926.\nAnswer: 1045818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -42, -75, -120, -177?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-290))\/5 + 21266\/(-1421)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*t**5 - 34*t**4 - 19*t**3 - 46727*t + 5 wrt t?\nAnswer: -4480*t**3 - 408*t**2 - 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 71*m - 110 - 44*m - 11*m. Let q be a(8). What is the highest common divisor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 8. Let p be x(-6). Let h be p\/4 - 14\/(-4). Solve 0 = -4*t - 12, 0*t + 9 = -3*v - h*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 139603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48020 + 48016. Let g = -0.2 - 0.1. Let y = 0.2 - g. Which is the fourth smallest value? (a) n (b) -3 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1276*o**3 - 1806*o**3 + 4015*o**3)*(-3*o + 1 - 1).\nAnswer: -2799*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14936*b*k**3 - b*k**2 - 76*b*k + 4069*k**3 + 272159*k**2 wrt k?\nAnswer: 89616*b + 24414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = 5*v - 7*s, -s = -5*v - 26. Let p(u) = -23*u + 52. What is the units digit of p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 14) to base 3\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 + -185. Solve -4*o + 2*j = -j + 8, y*j + 8 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -4*n + o, 135 = -3*n - 6*o + o. Let d be 5765\/63 - 5\/(n\/(-2)). Let c = d - 12577\/140. Find the common denominator of c and 7\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(3*sqrt(44)\/sqrt(4)))\/(sqrt(18)\/(sqrt(384)*2)).\nAnswer: 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 + -2 + -2 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*v + 8814 - 2935 - 2944 - 2937 as g*v + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/(-99))\/(3\/27). Which is the third biggest value? (a) -0.4 (b) -5 (c) y (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + -3*(-2 + sqrt(76)*2 + sqrt(76) + -4*-2*sqrt(76)))**2.\nAnswer: 132*sqrt(19) + 82765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/9 + 8*g**2\/9 - 8*g\/9 = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 7*f + 4. Let u(n) = -n - 22. Let k(m) = -27*m - 1. Let a be k(1). Let q be u(a). Give r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442 by -77134.\nAnswer: -221\/38567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, 1 p, and 1 z when four letters picked without replacement from {t: 1, s: 1, p: 2, z: 1, o: 3, d: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w + 20 = 0. Let l(r) = 10*r - 5. Let u be l(2). Calculate the greatest common factor of w and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -46?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 8*h + 10. Let l be a(9). Suppose -8 = -s - l. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = 6*o + 14*o + 420 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38547478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -1264, -1866, -2442, -2986?\nAnswer: -3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -24 - (19 + -7 + -24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7330265ml in litres?\nAnswer: 0.0007330265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 21*p**2 + p - 1. Let h be a(-1). Calculate the greatest common divisor of h and 4864.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**4*r + 6026*n**3*r**2 - 3083*n**2*r - 40*n*r**2 - 8*n*r wrt n.\nAnswer: 96*n*r + 36156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 20. Let t be (-8)\/d - (-2)\/5. Solve -4 + t = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 36*n**2 + 106*n - 2359. Give q(34).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 17*k - 18. Let r be m(15). Let s be r\/16 - 5\/(-4). Solve q = -a - 6, -3*q + 3*a + 14 = -s*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/235510 and -111\/2419330.\nAnswer: 26612630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 4*w - 13*w + 3)*(0 - 2*w + 0) + 4*w**2 + 4*w**2 - 6*w**2.\nAnswer: 48*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 52628?\nAnswer: 52619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 88*p\/7 + 24\/7.\nAnswer: 2*(p + 6)*(7*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 5058564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 0, 3, -1, -105 in descending order.\nAnswer: 16, 5, 3, 0, -1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1015\/3 + -338. Sort 2\/5, 2\/3, d in descending order.\nAnswer: 2\/3, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 * 0.044\nAnswer: -7.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -165. Let i be k\/(42\/(-15))*6\/10. Solve -z - 4 = -i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*d**3*p**2 - 12*d**3*p - 60*d**3 - 2*d**2 wrt p?\nAnswer: -40*d**3*p - 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + 1 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 3*a + 8, 0 = -5*j + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325310 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 20077 - 20077 + 38*a)*(-4 + 4*a + 4)*(-7 - 9 - 15).\nAnswer: -124*a**3 - 4712*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1353897 by 1.\nAnswer: 1353897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let h be 4 - (2 + 0\/4). Is n less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 7. Let p be c(-5). Suppose 0 = -2*r - l + 2, -r - l = -p*r - 2. Which is smaller: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010854461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:43 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30415 (base 9) to base 11\nAnswer: -14051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1254 - -1?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12054672 and 624.\nAnswer: 156710736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 60176\nAnswer: 3\/15044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q - 2. Suppose -z + 18 = -2*h, 0 = 3*z - 4*h - h - 49. Suppose -o = 2*u - 4 - z, 2*u - 3*o = 4. What is f(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*x - 5704, 0*x - 2*r - 1421 = -x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/48 + 41*s**3\/3 - 2*s - 1140. Factor h(p).\nAnswer: -p*(p - 328)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 15*k**2 + 13*k - 29. Calculate s(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 23, 81, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 955*s - 16489. Does 234 divide r(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -760, 31, 2, -2, 4, -9 in decreasing order.\nAnswer: 31, 4, 2, -2, -9, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.98 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.288 from -0.1.\nAnswer: -0.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8*c + 2*m + 20 = 0, 3*c = -5*m + 28. Suppose 3*l + 0 = c. Find the third derivative of -6*r**2 - 6*r**2 + 8*r**l + 2*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z - 278. Suppose -160 = 317*t - 325*t. Let b be o(t). Put b, -11, -3, -1 in ascending order.\nAnswer: -11, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 13, i: 5}. Give prob of sequence ii.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -441 - -453. Suppose 6 + 3 = 3*f. Suppose -f*n = -5*o + 84, -3*n + 6*n + 30 = 2*o. Calculate the least common multiple of o and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -68. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 3*s. Solve -3*j + 8*x - 14 = 3*x, -j = -3*x + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let y be m(-4). Suppose -6 = 2*c - y*c. Let t = c - 2. Solve o = 3*h + t, o + 4*h = 5*o + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 + (-7 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = 4*d - 119*l, 167*l = 2*d + 163*l - 2 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 111 = 5*p, 0 = 3*p - a + 5*a - 61. Suppose 0 = 4*i + 3*l + 5 + 2, i + 4*l - 8 = 0. Let z = i + 9. What is the remainder when p is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -21*j**2 - 246*j**2 - 48*j**2 - 205*j**2. Let i(x) = -2*x**2. Calculate i(v(s)).\nAnswer: -540800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 5*w**4\/12 + w**3\/3 - w**2\/2 - w. Let b = 11 + -7. Suppose -3*g - 5*n = -2*g - 6, 5*n = -b*g + 9. Give l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 175 - 66125?\nAnswer: -65950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43\/12 or 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403526224?\nAnswer: 2, 29, 3024841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11860.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*l - 11 + 11. Suppose 0 = 2*b - 2*p - 26, l = 4*b - 3*p + 24 - 77. Solve 8*s - a + b = 3*s, -2*s + a - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -42*j**3 - 6*j**2 + 96*j + 702. What are the prime factors of u(-8)?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 - -4. Let b(q) = q**3 - 2*q**2 - q + 2. Let d be b(2). What is the closest to d in -2, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = -0*t + t, t = 3*g + 8. Let l = -2 + t. Let w(j) = j**2 - j + 1. Let n be w(l). Let m(o) = -7*o**2. Give m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4349 (base 14) to base 16\nAnswer: 2d6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38704391213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32709858 is divided by 133?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -66*v - 799. Let f be h(-12). What is the closest to 2 in -1, -0.4, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7 (b) -0.3 (c) 9 (d) -9 (e) 12\/11 (f) -20 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -25*z + 874. What is y(40)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02838 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15977561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 27*y + 13. Let m = 68 + -55. Let l be v(m). Solve -15 = 5*n - l*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3\/2 (c) -0.061 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 153216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -6627?\nAnswer: -6628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*t**3*y**2 - 86833*t**3 + 7005578*t**2*y**2 wrt t.\nAnswer: 1560*y**2 - 520998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*1)\/sqrt(11))\/sqrt(4)*6)**2 + (2 + 0 + sqrt(10)\/sqrt(2))*1.\nAnswer: sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 9. Let h(z) = -2. Calculate 9*h(i) + 2*q(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7\/(-2) + (-198)\/(-396) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14547495397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4 + 17*r**3 - 87*r**2 - 57*r - 200377.\nAnswer: -8*r**3 + 51*r**2 - 174*r - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*x + 13*x - 7227*x**3 - 34*x + 312 + 7267*x**3 wrt x.\nAnswer: 120*x**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r**3 - 20*r**2 + 20*r - 20. Let b(d) = 388*d + 5 + d**2 - d**3 - 4 - 389*d. Calculate 20*b(n) + c(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -2) + (-9 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-6\/5))\/r**(-6\/13))\/(r**(-27)*r**(-15)) assuming r is positive.\nAnswer: r**(2903\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.035 + 0.035. Let j = 3 - 2.6. Suppose -q + 5 = -k + 3*q, 0 = -3*k + 2*q - 15. Which is the closest to s? (a) -3\/7 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -770551 divided by 64\nAnswer: -770551\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 1, q: 1, v: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*n = -9, -2*d + 0 = n - 3. Suppose -5*y + 25 = -d*y. Suppose 4*p + y - 37 = 0. Solve 3*h = -p - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.23 * 4335.\nAnswer: -14002.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9*(-8 - -14). Let o(d) be the second derivative of 0*d**a - 2*d + 0*d**3 - 1\/10*d**5 - 1\/6*d**4 + 0. Factor o(u).\nAnswer: -2*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -322. Suppose -t = 0, -w*b + t + 3*t + 3250 = 0. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181073 - 3*m - 181067 + 362140.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980989 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -16*h**5\/5 + 75*h**2\/2 + 54*h. Differentiate l(i) with respect to i.\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 3. Solve p = 5*l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = 3*h + 7*s, -3*h + 3*s = -18. Let r be h + -2 + 1 + (-2 - -3). Solve -4*d = 3*k - r*k + 18, 0 = 4*d - 5*k + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(76) - 3*1*sqrt(76))*3)\/((sqrt(24)\/(sqrt(6) - (sqrt(384) + sqrt(6))) - sqrt(4)) + sqrt(4) - sqrt(4) - sqrt(8)\/sqrt(18)).\nAnswer: -144*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 33*k**3\/2 + 101*k**2\/4 + k - 153. Factor p(m).\nAnswer: (m + 1)*(99*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353 - 330. Suppose -20*a + u*a + 13 = s, 3*a = -4*s + 7. Let p(h) = -h**2 + h + 2. Give p(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 - (-13 + 88) - 69\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 17508 + 3*g**2 - 6722*g - 17509.\nAnswer: 2*g**2 - 6722*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1718 - 1713. Solve -4*l - 10 = -h*y, 5*y - 2*l + 7*l = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/650 (b) 3 (c) -3\/4 (d) 112\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 0, -10*f + 4*g = -8*f + 16. Solve 4*y + p + 6 = 3*p, -f*p - 12 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, -68, -33, 1\/3, 0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 10*t + 25402. List the prime factors of (-2)\/8 + t\/(-8).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1703191 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leuelueuelheuleluul. Give prob of sequence lhl.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -25*n + 95. Let k(v) = -9*v**2 + v**3 + 2 - 1 + 7*v + 2. Determine k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -3*b**5\/20 - b**4\/2 + 3*b**3\/2 + b + 46. Suppose m(s) = 0. What is s?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from qzkzkkokzzkz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -445?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 415301736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 106364183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 5*z, -3*z + 0*z - 24 = -n. Suppose 0*p + 2*k - 8 = -2*p, 0 = -3*k + n. What is the tens digit of 2 + 1 + 15*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3981 + -3567.6. Let s = -448 + w. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5353 = 1001. What is the highest common divisor of 192 and g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1483, -2966, -4449, -5932?\n\"Answer: -1483*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -e61 (base 15) in base 2?\nAnswer: -110010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -672 - -672. Solve 12*u - 30*u - 90 = a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/41017158 and -113\/21114.\nAnswer: 943394634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 237?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37966027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 260785?\nAnswer: 260785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.487219 months to centuries.\nAnswer: 0.0170726825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 3. Suppose 468 = 2*o + p. Let g = -103 + o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4 - (-15)\/(-20). Suppose r = -3*v + 4*v - 3. Suppose 3*x = k + 62, -x = -v*x + 5*k + 63. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuqupxu. Give prob of picking 1 u, 1 q, and 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 8*r + 6412, 0 = 3*r - 24 + 30. List the prime factors of h.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((3 - 1) + 3). Suppose u + u - 12 = 2*d, -5*u - 10 = f*d. Factor -u*j**4 + 3*j**4 + j**4 - 2*j**3.\nAnswer: 2*j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174046321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6390*v + 606*v - 1 - 1433*v.\nAnswer: 5563*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (78\/(-15) - -4))\/((-1092)\/130)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -115*p**2. Let d(y) = -28*y**2. Give d(x(g)).\nAnswer: -370300*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 25. Let y be (1 + -3)*(-57)\/38. What is the remainder when u is divided by 4*(y\/(-6) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25873462339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 + 2*k**2 - k + k + k**2 - 15*k**2 - 10*k + 10*k + k**2 - k**2 - 2*k**2 + (-2*k - 2*k + 2*k)*(k + 2*k - 2*k).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70561333 is divided by 7699?\nAnswer: 7697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 20086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2. Let w(r) = 41189*r**2. Calculate w(t(q)).\nAnswer: 659024*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-272)*4\/(-18))\/((-45)\/120)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - 8 = -3*x, -2*x - 5*k = -13. Let j = -5 + 9. Suppose 4*v + 0*o - j = 4*o, v = 3*o - 9. What is the remainder when v is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010924 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51467174779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l + 4. Let s(w) = w + 1. Let t(p) = -d(p) + 4*s(p). Let g(c) = 3*c**2 + 0*c**2 - 5*c**2. Determine g(t(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 11*s**5 - 219*s**4 - 20*s**3 = 0.\nAnswer: -1\/11, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -26, 5, 10, -25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 3898560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -617 - -639. Suppose 0 = -h*b - 35 + 1091. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39426 is divided by 1098?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31567 - 20415. What are the prime factors of -14 + q\/12 - 1\/3?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -x + 64, 4*a + 5 = 3*a. Suppose k - 7 - 19 = 0. What is the greatest common factor of x and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816604 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643*k**6*q - k**5*q - 3*k**2*q + 5*k**2 - k*q wrt k.\nAnswer: -77160*k**3*q - 60*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -3*d + 80*k - 84*k, 31 = 5*k + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3*c - 161 + 157, 0 = 15*l + c - 82 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**3\/3 - 5*q**2 + q - 927. Determine z(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/3 - 53)\/(-1). Calculate the highest common factor of 80 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.9999892 + -57. Round u to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 134. Let t = 62 + w. Let r(k) = -2*k + 18. Let b be r(t). Which is greater: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and -75\/43143676.\nAnswer: 215718380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -19\/4 (c) 1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 385 = 5*n. Let b = 10 + -15. Let o(h) = h**2 + 3*h - 3. Let j be o(b). What is the greatest common factor of j and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25226.9998581 + 25227. Round x to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 596595*k - 596595*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 7 - 30\/9*3. Which is the fourth biggest value? (a) j (b) 0 (c) -2\/17 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 - 5*i**2\/2 - 2*i - 9. Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5265.336 seconds to milliseconds.\nAnswer: 5265336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x - 1969. Calculate j(-68).\nAnswer: 2587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-2)\/4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let z be 33\/15 + (-6)\/30. Suppose x + 15 = 4*f, -2*f + 12 = z*x + g*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-608)\/1920)\/((-4)\/48*1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 4*l**2 - 87 - 8 to k*l**2 + m*l + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 109330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/7 - 87*p\/7 - 12.\nAnswer: -3*(p + 1)*(p + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + 2*y. Let b = -9 + 2. Let n(w) = -1 + 5*w**2 - 14*w**2 + 0 - 7*w. Let f(p) = b*k(p) - 2*n(p). Find the first derivative of f(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.51 - 3.15. What is p rounded to one dp?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2 + 7 + 2 - l**3 - 6*l**2 + 2 - 6*l. Is p(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k**3 - 1. Suppose 5*b - 8*u = -13*u + 40, 2*u - 14 = 0. What is n(b)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.516\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 69*a**2 - a - 27. Does 14 divide m(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 24*g**2 - 30*g + 165. Let z be q(23). Solve 2*n + 4 = z*r, 0 = -2*n + r - 17 + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 5*z + 3. Let a be 3\/6 + -2 + 55\/(-2). Let x = z - a. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2475)\/(-12) - (-1)\/(-4). Suppose -3*c + d = 4*o - 0*o, -c = -5*o - 75. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.3, -2, 2\/9, 13\/5, 2\/27?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(32)\/sqrt(4) + 1 - (sqrt(8) - sqrt(160)\/sqrt(5))) + -4)*5 + 5.\nAnswer: -100*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/(2\/(-28)). Solve -s + 4 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38054 - -57585. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*18\/4. Suppose -n*t - x - 194 = -6*t, 2*x = -2*t + 116. What is the remainder when t is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29 + 1 + -3 - 3. Let q(x) = 10*x**2 + 4*x - 8. Let y be q(4). Calculate the highest common divisor of c and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 3393551620802.\nAnswer: 3393551620791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.4 + -52. Which is smaller: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23618, -94385, -212298, -377357?\n\"Answer: -23573*g**2 - 48*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 2\/5*s**5 + 0*s - 1\/4*s**4 + 0*s**3 - 1\/6*s**6 - 1 + 0*s**2. Factor w(p).\nAnswer: -p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 6076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2290293 is divided by 25168.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84774296 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.29 - 26.81. Let b = -24 - l. Let r = b + -5. Is r bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:44 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + 36*s + 88. Give x(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*y**5 - 808*y**4 - 26342*y**2 - y wrt y.\nAnswer: 420*y**2 - 19392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49734, -49731, -49728, -49725?\nAnswer: -49722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-29)\/(h*((h**4\/h)\/h)\/h)*h**32*(h**11\/h)\/h assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/21937 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w**2 + 422*w - 3. Calculate k(-27).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f**(-3\/5)\/f*f)**(-1\/31)\/((f**1)**(-3\/2)*((f*f**(-1\/3))\/f*f)\/(f*f\/(((f\/((f*f**(-2\/7))\/f))\/f)\/f))) assuming f is positive.\nAnswer: f**(23011\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/1)\/(-1))\/((-22)\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013604 rounded to five dps?\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 + 37*h**3 - 28*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64709 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 3*w + 3. Let b be j(2). Let c(n) = -577*n**3 + n**2 - 3*n + 1. Let d be c(b). Round d to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -7 + (9 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3197 divided by 139\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)*(13\/(65\/25) + -6). Let l(x) be the third derivative of r + 1\/3*x**3 - 23*x**2 + 0*x. Let g(s) = -s - 1. Give -3*g(b) - 2*l(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 8*l + 4. Let j be b(9). Let r = j - -9. Let p(q) = r*q - 4 - 2*q - q. Calculate p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1 (c) 30.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 8*d + 1. Calculate a(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(816\/(-936)*13).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/4)*v\/v**(-4\/3)*(v*v\/((v*v*v**(-1\/2))\/v)*v)**14*v**(8\/5)\/v*v**9*v*v*(v\/((v\/(v**(-2\/11)\/v))\/v))\/((v\/v**2)\/v) assuming v is positive.\nAnswer: v**(33991\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*t + 108 = 0, -4*t = c - 6*c - 135. Suppose -5*x = 118 + 27. Is x < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrzwrrzw. Give prob of picking 1 r, 1 z, and 1 w.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -38 - (-277 - -265) - -11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*h = -16, 0 = -5*l - 2*h + 18 + 62. Suppose 9 = -5*v - l, 2*v + 66 = 4*c. Let o(b) = 6*b**2 + 3*b - 17. Is o(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1119 and 381.\nAnswer: 142113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1)\/h))**(-32)\/((h\/((h*h\/h**3)\/h))\/h*h*h**(-2)*h))**(-36) assuming h is positive.\nAnswer: h**3528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 + n + 4. Let d(s) = -2*s**3 + 4*s**2 - 3*s - 8. Let f(c) = -2*d(c) - 5*y(c). Give f(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24613541591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1330 and 2926?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4383 - 43751\/10. Calculate the common denominator of -67\/542 and g.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 12520*j**3 + 10400720*j**2 - 2864390400*j.\nAnswer: 5*j*(j - 892)**2*(j - 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 14\/5 (c) 1 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97254369145 and 53.\nAnswer: 97254369198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0555 - 0.2445. Are -11 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h)\/h*h\/(h*h**(2\/5)*h) assuming h is positive.\nAnswer: h**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1103345 + -3222?\nAnswer: -1106600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 18 + 34 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78120461.\nAnswer: 29, 227, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-173)\/(-4498))\/((-1)\/12).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 - 125. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 9054.\nAnswer: -5\/9054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 7}. Give prob of sequence st.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 74*w + 6*w**2 + 2*w**2 - 31*w - 34*w.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 490 = -4*l, 4*n + 9*l = 6*l + 1903. Put 1, 0.5, -1\/4, n in ascending order.\nAnswer: -1\/4, 0.5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2 + g + 1. Let l = -38 + 37. Let o be s(l). Which is the nearest to -0.2? (a) 2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 3) + -4 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111111010110100000011 (base 2) to base 15\nAnswer: -2b013c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 + 315. Let y = 60 - 21. Let h = y - p. Round h to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 3649.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023629?\nAnswer: 3, 13, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d + 26 + 24 + 25 + 25 - 105 to v + f*d and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/13 - 38*h**2\/13 + 68*h\/13.\nAnswer: 2*h*(h - 17)*(h - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.0423, 1, 0.2, -0.2, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uraaarararau. Give prob of sequence aa.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3056, 11462, 25252, 44426, 68984?\nAnswer: 98926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**22*k)\/k)\/(k\/(((k*k\/(k*(k**12*k*k*k)\/k))\/k)\/k)*k) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -9\/4*g**4 + 0*g + 0*g**2 - 16 - 5*g**3. What is the third derivative of h(j) wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*m = -12, 8 = -2*t - 2*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15*x - 351. Determine t(-9).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*d - 24 = 2*o, 4*o + 3 = -d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/165, -41\/7, 2?\nAnswer: -41\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14753396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -11348.\nAnswer: -23\/11348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + m + 8, 3*m = 4*b - b - 12. Does 12 divide (b - -13) + -3 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/360 - p**4\/12 - 11*p. Let m(i) be the third derivative of n(i). Let h(c) = -19*c**2. Give m(h(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/25277 + 480143\/1516620. Let q(l) be the third derivative of 0*l**3 + 0*l + 7\/6*l**4 + 0 - 25*l**2 - a*l**5. Find the second derivative of q(w) wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 3*j**3 - 2*j**3 + 0*j**3 + 3*j**3 - 11*j**3 as v*j**2 + b*j + i + m*j**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0845 and 2.\nAnswer: -0.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 929*k - 232.\nAnswer: -(k - 232)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose 5*n - 8*n + 9 = p. Factor -7*x + x**3 + 2*x**3 - x**4 - n*x**2 + 7*x + x.\nAnswer: -x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 701, 3, -13 in ascending order.\nAnswer: -13, 3, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10 - 25 = 0. Let a(c) = 15*c - 10. Is 13 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71581 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -3 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1107594601 to the nearest integer?\nAnswer: 33281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*j + 1157*j = 7260 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -726, -5, 4, -20\/17 in decreasing order.\nAnswer: 4, -20\/17, -5, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 76*k**2 - 131*k + 2314. Is n(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let d(z) = z + 2. Let u(a) = 14*a + 51. Let r(p) = -3*d(p) - u(p). Let f be r(8). Round f to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*w = -24, -o - 9*w + 24 = -4*w. Let u be (-3)\/(o\/(32\/(-6))). Suppose 576 = 2*x + u*x. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (20 - 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*m**2 - 24*m**3 + 3900*m - 3900*m - 933*m**2.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 4. Let c(i) = -i + 3. Let p(f) = -3*c(f) - 2*u(f). Let b be p(1). Find the first derivative of -w + 3*w + b*w + 1 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130000282 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose -2*r + 4 = 4*o, 3*o - 5*r - 4 - 12 = 0. Suppose 0*m + o*m = -2. Put k, m, 5 in ascending order.\nAnswer: m, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -62, -108, 2 in increasing order.\nAnswer: -108, -62, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 246 = 519. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13590 - -13588. Which is smaller: -18\/17 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 10*g - 2. Let d be h(7). Suppose y + 2*y = 5*t + d, 0 = -2*y - t + 37. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnyk when four letters picked without replacement from {n: 1, k: 1, o: 3, d: 2, w: 4, y: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27988469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v + 51. Suppose 36 + 4 = -8*r. Let c be k(r). What is the highest common divisor of c and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 4*g**2 + 4*g - 5. Let o be r(5). Let f = o + 14. Calculate the greatest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*p - 54 + 418 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*v - 14, -2*v - w + 19 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2428 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41027 divided by -59.\nAnswer: -41027\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*i - 13 = 0, 0 = 2*s - i - 1 - 0. Let z be (-5 - -5) + (-1)\/(-15)*s. What is the biggest value in -3, 0.04, z?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 112*f - 2. Determine v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 + l**2 + 6*l. Let b(x) be the first derivative of x**4\/4 + x**2\/2 + 1. Suppose 13 = 2*k - 3*t, 19*k - 15*k + 4*t = -24. Give k*n(h) + 6*b(h).\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvvdrwvrvdvvrwvvvv. Give prob of sequence rv.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74142 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 6 + (11 + -13 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.18 - 4. Let j = v + -0.08. What is the nearest to 0 in -1\/2, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19040 and -2?\nAnswer: -38080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249537933 rounded to 3 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159237 - 77956. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/69 + 22\/69. Is 1\/5 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 54 + 104 = -r + 49, -41 = 8*o - 3*r + 36 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9693 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.5, -3\/14, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1689 by 6.\nAnswer: 563\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 2111.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (341*z - 314*z + 653*z)*(5*z**2 - 4 + 4) to the form q*z**3 + k + g*z + x*z**2 and give q.\nAnswer: 3400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b. Let z(f) be the first derivative of -4*f**2 + 144*f - 30. What is the remainder when z(14) is divided by w(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1573)*1 - (2*sqrt(1573) + 3) - -6*(2 + sqrt(1573) + 1 + sqrt(1573))) + -1)**2.\nAnswer: 2772*sqrt(13) + 127609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - 30. What is the lowest common multiple of (-3)\/18 + 15*y\/(-72) and (4 - -4)*2*1?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48281057 by 6.\nAnswer: -48281057\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.7406 and 102.00842?\nAnswer: 153.74902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/7)*p\/(p**17\/p))\/(p**(-15)*p**5))**(-24) assuming p is positive.\nAnswer: p**(696\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 156 - 159 = 0. Let z(i) = -8*i. Let m be z(-3). Let b = l - m. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b**2 + 5060*b + 5100. Let s(a) = -19*a**2 + 5064*a + 5098. Let n(k) = 5*q(k) - 6*s(k). Solve n(l) = 0.\nAnswer: -1, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = -14968. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*t - 462*t + 39193 = 2201 - 5821 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/((d\/d**9*d)\/d))**(5\/6)\/(d**(-8)\/(d*d*d**2))**37 assuming d is positive.\nAnswer: d**(4051\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/60)\/(3\/30)*(-54)\/72*2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1411, 0.1, 23, -1 in decreasing order.\nAnswer: 1411, 23, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653292*-53.\nAnswer: -34624476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79\/6 + 13. Suppose 4*v = f + 3*f - 16, v = 4*f - 10. Suppose -f*q + 4*q + 2 = 0. Is q at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 4\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 2*p**4 + 3*p**4)*(-123 - 163 + 79 - 92).\nAnswer: -299*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7406905\/11424 + 11026\/17. Find the common denominator of z and -91\/60.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 347 = -132. Let c(v) = v**2 - v + 16. Let p(q) = -q**2 + q - 11. What is i*c(m) - 7*p(m)?\nAnswer: 2*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 30?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (165\/(-24) - -3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11703826 divided by 2231.\nAnswer: 5246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 1738 - 1708 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.6 + -16.356. Let l = 0.243961 - h. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21560, 172574, 582448, 1380608, 2696480, 4659490, 7399064, 11044628?\n\"Answer: 21571*p**3 + 4*p**2 + 5*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -524\/67, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -8a?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -204*z + 209*z - 7, 0 = 16*z - 48 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 3*t - 139. Is t smaller than -24\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18 - (-885)\/(-27))\/((-427)\/427)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 1370 = 98. Let w = 185 + p. What is the least common multiple of w and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Let j = -8 - -11. Suppose 0 = k - n - j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 7*c - 2. Let k be 15\/6*6\/(-1). Let u(b) = 5*b**2 - 163*b - 44. Let d be u(33). Let z = d + k. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.137, -8\/9, -34?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56 + -4)\/(((-130)\/(-3003))\/(-10)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002182734426 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -262, -259, -256, -253, -250?\n\"Answer: 3*w - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/g**(-5\/4))\/g)\/g)\/g)**(2\/11)*(g\/g**13)**(-17\/4))**(-48) assuming g is positive.\nAnswer: g**(-26856\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(448) - sqrt(448)*-2))**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:02 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 5*w - 10. Let c be b(-7). Suppose 59*p = 54*p - 20. Let y(a) = -a**2 - 23*a - 3. Let v be y(-23). Put -1, p, c, v in increasing order.\nAnswer: p, v, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1196\/9 - -133. Suppose 0 = -5*y - 4*c - 11, -3*y = 2*c + 2*c + 5. Put y, k, 2 in ascending order.\nAnswer: y, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -64. Suppose -2*n + 3*p = -12, p = 6*p + s. What is the first derivative of 5*f**3 - 102 + 117 + f**n wrt f?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2231220332 (base 4) to base 14\nAnswer: -1472a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070396 is divided by 9859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.706 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2808 + 489*l**2 - 2761*l**2 - 540*l**2 wrt l.\nAnswer: -5624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130136159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = -0*z + 2120. Calculate the remainder when 5507 is divided by z.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2414*l*p*q**3 - 2*l*p*q - l*p + l*q**2 - 5*p*q**3 + 35*p*q**2 + 2*p*q wrt q.\nAnswer: -14484*l*p - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(3 + 229)*(-14)\/9\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 0.024 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-60))\/(-2)*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (2 + sqrt(2299)*3)**2 + 1*sqrt(2299)*-1 + 2*(sqrt(2299)*2 + sqrt(2299)).\nAnswer: 187*sqrt(19) + 20690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = -3*u + 1, -4*o - u + 7 = 0. Suppose 0 = -2*i + o*d + 6 + 8, -3*d = -4*i + 23. Solve 0 = c - i*g - 13, -g + 2*g + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 + 4. Let y be s(-3). Let o = 3 - y. What is the common denominator of -21\/20 and (-2)\/o - (-697)\/(-60)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -38\/3*j**3 + 50\/3*j**2 - 32\/3*j + 14\/3*j**4 - 2\/3*j**5 + 8\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(108)\/((sqrt(99)*2)\/sqrt(11)))\/(sqrt(42)\/((sqrt(343) - sqrt(343)*-1) + sqrt(343))))**2.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-1))\/(14509\/(-10552) + 6\/16)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*-4*(-1)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*h + 8*h + 5*g, -16 = -3*h - 4*g. Let z be (4\/14)\/((-18)\/(-14)). Let b = 0 - -5. What is the third smallest value in h, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 95 + 53 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16811 + -33005\/2. Which is greater: u or 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.22 times -2416\nAnswer: -15027.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -328.59 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o**3 - 14*o**2 - 3. Let w(u) = 2*u**2 + 1. What is -v(j) - 4*w(j)?\nAnswer: 21*j**3 + 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 94*m - 3381. Determine q(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22168.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6860 = -110*u + 3670 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 2) to base 5.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3584261 or -3584053?\nAnswer: -3584261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.02 + -0.02. Let z = -3 + a. Suppose 2*x + 325*g = 330*g - 28, 2*x - 4*g = -24. Sort x, 2\/9, z.\nAnswer: x, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Which is the closest to -40\/3? (a) 4\/7 (b) 423 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + x + 1. Let n = -16 + 15. Calculate a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d - 3*d - d - 2*d - 15*d + 2*d + 4*d - 3*d - 2*d + 3 - 3 - d + (-4 + 4 + 2*d)*(1 - 3 + 1) - 2*d + 3*d + 0*d - d + 2*d - 3*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = -t, -2*f - 4*t = 3*f + 6. What is the hundreds digit of 5891\/43*1\/f*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*l**3 + 60*l**3 - 43*l**3.\nAnswer: 137*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -j - a, -2*a + 5 + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/250)\/((-2)\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180.5 - 181. Suppose 2*c + 2 = -0. What is the nearest to -1\/4 in c, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.8 - 29.7. Which is the smallest value? (a) -3\/2 (b) -0.3 (c) v (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4082\/785 - (-4)\/5. Let c(v) be the third derivative of -v**6\/120 + 7*v**5\/60 - v**4\/12 + v**2. What is c(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9383*o**6*y + 10121*o**4*y - 84*o**2*y - 2*o**2 - 10*o*y + o + 2*y + 2661 wrt o?\nAnswer: -1125960*o**3*y + 242904*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2350 and 833780.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 20*j + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 0.742, 4, -3, -28, 2 in increasing order.\nAnswer: -28, -3, 0.742, 2, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (4 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053) - (sqrt(1053) + 1))) - sqrt(1053))))**2.\nAnswer: -108*sqrt(13) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q**3 - q)*(2*q + 260*q + 144*q) - 5*q**4 + 3*q**4 + 3*q**4 to h*q + c + w*q**2 + t*q**4 + o*q**3 and give t.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.6 + 6. Let p = -5 + 8. Let k = -2 + p. Which is the closest to k? (a) -0.4 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798405 is divided by 399757?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by ((-1)\/1)\/((-23)\/1265)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from ylll?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (-1*sqrt(133) - sqrt(133))*-5)\/(sqrt(7) - ((sqrt(70) + sqrt(70)*-1 + sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10) - sqrt(7)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168\/(-280) - (-83)\/5 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4902 and 113\/14706.\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:26 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v + v - 2*v**2 + 0*v**2 + 4*v**2 + (3*v - 3*v - 2*v)*(2*v - 2*v - v) - 2*v - 2*v**2 + 2*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1878 - -4?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131429 is divided by 1701?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**7\/42 + 27*l**6\/4 - 2019*l**5\/4 - 8505*l**4 - 52920*l**3 - 731*l**2. Suppose g(j) = 0. What is j?\nAnswer: -3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5126 + 5150. Let j be (-3 - -2)*(-2 - 46). Calculate the highest common factor of j and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z. Let q(y) = -3*y**2 + 21*y. Calculate p(q(s)).\nAnswer: -12*s**2 + 84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-8) + 9)\/((-56)\/38) + 9. Let y(k) be the second derivative of 3\/14*k**2 + 0 + 9\/140*k**5 - h*k**4 - 9*k + 1\/14*k**3. Factor y(z).\nAnswer: 3*(z - 1)**2*(3*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 79.9999949. What is q rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a + 5. Let r(j) = -1. Let q(v) = -p(v) - 3*r(v). Let x(b) be the first derivative of 25*b**2 - 15*b - 1326. Give -15*q(i) + 2*x(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(44\/(-16) + 4). Let s = 0 + o. Let d be (s\/(-45))\/(2\/6). Which is the nearest to d? (a) 0.5 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*x - x**2 - 17*x + 9*x)*(4*x - 3*x - 4*x) as a*x**2 + r*x**3 + g*x + n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 100.2. Sort v, -10, -4 in decreasing order.\nAnswer: v, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 9, -a = -2*z + 8 - 20. Let n(x) = -9*x**2 + 0 + 10*x**2 - 6 - a*x + 4. Give n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/95*(-20)\/44?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/10 - n**4\/3 - n**3\/3 + 3*n**2\/2 + 4*n. Let r(i) = -3*i + 0*i + 4 + 2*i**3 + 0 - 5*i**2. What is -4*l(h) + 3*r(h)?\nAnswer: -2*h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u + 11. Let k(a) = 5*a + 13*a**2 + 19*a**2 - 1 - 31*a**2. Let z be k(u). What is the third smallest value in z, -1\/3, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 3 (c) -2\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398 and 19816022?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - ((sqrt(114) - (sqrt(114) + sqrt(114)*-2)) + sqrt(114) - sqrt(114))*-2 - sqrt(114) - sqrt(114))\/(sqrt(384)*-1).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, c: 7, l: 4}. Give prob of sequence ccz.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {f: 2, t: 1, z: 7}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.85529 to 2 dps.\nAnswer: -13.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -b + 4 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -3\/7, -848\/35, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/21)*b**(-8)\/b assuming b is positive.\nAnswer: b**(-193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6978, -27874, -62688, -111420?\n\"Answer: -6959*r**2 - 19*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/396 and 31\/3267.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -844b6 (base 12) in base 9?\nAnswer: -284013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 - o + 4. Let i = 25 - 22. Determine g(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwzw when four letters picked without replacement from wzzwwwww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27648*i**2 - 490176*i - 2172603 = 0.\nAnswer: -851\/96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/157 - -5365\/471. Let v = q - 103\/9. Is v less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.6 + -17.29. Let h = d + -0.11. Let i = h - -1.8. Which is the second biggest value? (a) i (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s + 3. Is l(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 19*f**2 - 14*f**2 - 8 to x*f + w*f**2 + s and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54b94 + -1?\nAnswer: 54b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 12. Let l(f) = f**3 + 4*f**2 + f - 1. Let k be l(-2). Suppose -4*r + 0*r = -w + p, k*r = -w + 2. Solve w*h = 0, 4*h + 22 - 2 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + k - 2 = 0, -4*k = -n - 4*n - 8. Suppose -16*c + 2*c + 6594 = n. Suppose 4*l + 361 = 4*b - c, 5*l = -5*b + 1050. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 233*z - 75526. Calculate c(-182).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + 4 + 2) - -10 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -127*o + 272 + 326 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67026, 134057, 201090, 268125, 335162, 402201, 469242?\n\"Answer: w**2 + 67028*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1827*w - 22. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 4*u - 2*u - 8 + 4*u - 2*u - 3*u - u - 2*u + 2*u + (0 + 2*u + 0)*(3 + 1 - 2) + u - 2*u + 2*u + u - u - 2*u + 4*u - 5*u + 7*u.\nAnswer: 9*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 10 - 2)*(d - 5*d + d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48 and -89?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29502 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119 + 106.4. Let j = f - -13. Which is the nearest to 1? (a) 1\/6 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46954116 to 3 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 19*o + 7. Let w(f) = 10*f**2 - 37*f - 63. Let j(z) = 12*z**2 - 37*z - 88. Let c(g) = 2*j(g) - 3*w(g). Determine -6*c(t) + 11*x(t).\nAnswer: 3*t**2 - 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(64)*-1)\/sqrt(8))\/(sqrt(4) + sqrt(144) + (sqrt(144)*-3 - sqrt(144))))**2.\nAnswer: -12\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2 - 35044*i + 2571352 = 0.\nAnswer: 74, 8687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 1465202*d**2 + 13417612956032*d\/5 + 26835196608032\/5.\nAnswer: (d + 2)*(d + 3663004)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 8918?\nAnswer: 26754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -293.5 - -294. Suppose 14 = 3*b - 4*p + 2*p, 3*b - 4*p = 16. Suppose b*u + 2*d - 1 = d, 5*d = -3*u - 12. What is the second smallest value in u, 2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014391 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**3 + n**2 + n - 2. List the prime factors of x(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 9*m - 8*m. Let y = 0 - m. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 divided by 209\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123402 + -43?\nAnswer: 123304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(6\/(-8))*(-31 - -28). Let f be (7 - 1607)*(-315)\/l. What is f rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168142.\nAnswer: 2, 13, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/2 - 31*u\/2 - 15 = 0.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195 - -195.1. Which is the third biggest value? (a) 5 (b) -0.2 (c) -1 (d) 18 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 197 (b) -4130 (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*u + 15 = 0, -5*y = 6*u - u - 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -147\/2. Sort -1, 2\/11, i, 1.\nAnswer: -1, 2\/11, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43359 at most 38206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-5))\/(42\/(-1120)*8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -2a762?\nAnswer: 2a762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-8) - (-12)\/16. Let m = -23\/6 + r. Let y = 17\/6 + m. Which is the biggest value? (a) y (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4781699 divided by -1?\nAnswer: -4781699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*((g\/g**(-11\/2))\/g)\/g)**(5\/7) assuming g is positive.\nAnswer: g**(65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1539 by -81.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 plus -3.172376262?\nAnswer: -3.012376262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -319, -555, -799, -1051, -1311, -1579?\nAnswer: -1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2350*a - 25919. What is z(11)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -u - 3*h + 22, -2*u = -3*h - 9. Suppose -w + 24 = -4*r, 0 = -2*w - 10*r + 14*r + 28. Solve u = w*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3904, 16014, 36330, 64852?\nAnswer: 101580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:04 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w - 153 - 309*w**2 + 4*w + 153 + (-25*w + 64*w + 0*w)*(-2*w - 2*w + 2*w).\nAnswer: -387*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255264 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407055 and 44.\nAnswer: 1628220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:46 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**16*y*y**11)\/(y**(-1)\/y)**(-16))**(-2) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let h be ((-6)\/16*1234)\/d. Let a = h + -231. Is 1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993949 to the power of 1\/2, to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by -1?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k**2 - 16*k. Let m = -5 - -5. Let q(y) = 4*y**2 + m*y**2 - 5*y**2 - y. Let v(x) = 48*q(x) - 3*w(x). Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 213*p**2 + 10*p - 10. Let y be x(10). Suppose -7147 = -0*w - w + 4*d, 3*w + 5*d = y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202694*c - 80*c**2 - 202694*c.\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19456512 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5629 and -0.4?\nAnswer: -2251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2325 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13795381.\nAnswer: 17, 811493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66, 169, 356, 669, 1150, 1841, 2784, 4021?\n\"Answer: 7*i**3 + 54*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkhkhkkkkhkkhhkk?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.018 and -0.4.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4457 + -4453. Which is the nearest to -2? (a) l (b) 2\/3 (c) 10.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5ca1 + 5?\nAnswer: -5c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20370 by -291.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 7. Let p be (15*(-6)\/9)\/(-2). Suppose 5*b + 0*b = -p*c - 20, 5*b + 16 = -4*c. Suppose b = -11*w + 9*w. Determine m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9732138 decades to centuries.\nAnswer: 0.09732138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d6968 - -16?\nAnswer: -4d6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325136.171 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*m + 8, 0 = -5*u - 2*m - 2 + 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s - 2. Let g be l(2). Let r be (6\/g)\/(5\/10). Solve -2*m = p - 9, 0*p + r*p = -m + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363571*o**6 + 2120*o**2 wrt o.\nAnswer: -43628520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = 30*l + 27*l - 22*l. Determine p, given that 0*p + l + 22\/5*p**3 + 4\/5*p**2 + 14\/5*p**5 + 32\/5*p**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1798 and 3.37.\nAnswer: 6059.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3312.839 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 853, 1706, 2555, 3400, 4241?\nAnswer: 5078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16) + (-30)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10730102 is divided by 629?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -26, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 987*r - 14580.\nAnswer: -(r + 15)*(r + 972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24736 - 9813. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4ac3813 + 3?\nAnswer: 4ac3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 36 = 3*y, -3*y + 2*k = -23 + 59. Which is greater: y or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 178\/124641 or 0?\nAnswer: 178\/124641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 1.1012?\nAnswer: -4.8988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 + 2 = -5*l, 4*g = 4*l - 36. Let s = -1205 - -1207. Let a(m) = 0*m**s + 4*m**2 + 0 + l*m - 2*m + 1. Determine a(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/4))**(-26))**37 assuming p is positive.\nAnswer: p**(1443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d55 (base 15) in base 7?\nAnswer: 153323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177\/121 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/802 - -411\/8020. Let p(o) be the second derivative of h*o**5 - 14*o + 0 - 1\/4*o**4 + 1\/6*o**3 + 0*o**2. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14 - 22 - l + 9. Let z(g) = 5*g. Determine -2*m(s) - z(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.329 - 36.671. What is the closest to -1 in u, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.7. Let r = -2.32 + 61.82. Let a = 59 - r. What is the third biggest value in a, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/66 and 89\/320.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 922, -5, 0, 5 in increasing order.\nAnswer: -5, 0, 5, 922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 131\/5 - ((-16)\/20 + 1). Suppose -18*t + 5*t = -q. Solve 6*m + t = -22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140621 and 11020.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 942.45 and -38?\nAnswer: -35813.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + 3.96. Let s = 5 - 10. Let y = a - s. What is the biggest value in 0.1, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**2*u**3 - 2*o**2*u**2 + 2*o**2*x**2 + 3*o*u**2*x**2 + 3*u**5*x - 4*u**3*x**3 - 22*u**2*x**3 wrt u.\nAnswer: 24*o**2 + 180*u**2*x - 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 34.85. Let m = g + -0.25. Let q = m - -6.2. Round q to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24335519 - -119396002.75664481. Let q = s - 119396056.000061. Let n = 53 + q. Round n to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {t: 2, f: 2, n: 1, c: 2, g: 3, h: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 8*i + 5. Let a be d(8). Suppose 14 = 4*k - 6. Suppose 2*c + k = -a. Let l(h) = 3*h + 7. What is l(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379585 is divided by 22303?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 9:34 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e3 (base 15) to base 11.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 9*c - 17*c + 9*c + 9*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 9*m**2 + 6*m - 5. Let g be k(9). Find the second derivative of -117*f**5 + 67*f**5 - 28*f**3 + g*f**5 + 67 + 2*f wrt f.\nAnswer: -20*f**3 - 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 10}. Give prob of sequence yfyf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -128?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*v*w**4 - 2*v*w**3*x**3 - 3*v*w**2*x**3 + 6*v*w*x**3 - w**5 - w**2*x**3 wrt w.\nAnswer: -480*v*w - 12*v*x**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.621 grams to tonnes.\nAnswer: 0.000673621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042675596 rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 + -0.5. Let z = h - 9. Let x = z + 2. Which is the second smallest value? (a) 0 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/2 - 13*g**3\/2 + 47*g**2\/2 - 59*g\/2 + 12 = 0. What is g?\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o + 121. What is k(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 23*g**3 - 2*g**2 + g - 10. Let r be f(-5). What is the lowest common multiple of r\/(-165) + 2\/11 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 2*q**2 + 3*q**2)*(q - 3*q + 3*q)*(2 + 6 + 1).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105c0 (base 14) to base 12.\nAnswer: 1aa90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 72*x + 288 = 0. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 11}. Give prob of sequence ss.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-9 - -5) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Let p(m) = 7*m**2 - 4*m - 5. Let x(r) = -4*r**2 + 2*r + 3. Determine d*p(c) + 5*x(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -327700000 to the nearest one million.\nAnswer: -328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56333761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*d - 261*d - 18204 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -2*g + 0 + 5\/6*g**3 - 2*g**2 - 1\/20*g**5 - 5\/12*g**4. Let z be o(-6). Solve 0*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 652, -1.\nAnswer: -1, 7, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*1\/27)\/((-91)\/(-2184)*-5).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 11, n: 6}. What is prob of picking 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.1. Suppose 2*r + 10 = 4*r. Suppose 5*u + 4*i + 7 = 0, u = -0*u - r*i - 14. Which is the closest to 3\/7? (a) u (b) 5\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**2\/2 - 43. Suppose -5*v - 18 = -2*j, -j - v = 4*j - 18. Let r(y) = j*y - 4*y - 5*y. What is r(u(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -5 + 1011049 + -5. Suppose -b + n = 5*l + 319012, 2075985 = 3*b - 3*l. Round b to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -251363.\nAnswer: 351908.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 178, 3, 4\/3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(2430) - sqrt(2430)) + sqrt(2430) + sqrt(2430))\/((sqrt(10) - sqrt(1210)*2) + sqrt(10)))**2.\nAnswer: 243\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -170*20\/(-550) + -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:38 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - -65) + (1 - 5 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 887 * -1.217.\nAnswer: -1079.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, 0.2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*o - 6. Let s be ((-3)\/6 - -1)*0. Suppose s = -a + o. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 5, b: 7, z: 2, v: 2}. Give prob of picking 2 z and 1 v.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30844, 30751, 30670, 30607, 30568, 30559?\nAnswer: 30586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -368\/3 + 123. Let s = 0.3 - 0.22. Let i = s + -3.08. Sort i, j, -0.2.\nAnswer: i, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 2.2 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692304 by -14423.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358800 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 + 312\/22. What is the greatest common factor of w and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-5*sqrt(117)*2)\/((sqrt(54)\/sqrt(2))\/sqrt(3)) + ((sqrt(91) - sqrt(91)*1)*-1)\/(sqrt(21)\/sqrt(3)*5)) + 4)**2.\nAnswer: 80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 - 4)*(8*d**2 - d**3 + 2*d**3 + 0*d**3) to the form w + p*d**3 + x*d**2 + t*d and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477212340.\nAnswer: 2, 5, 73860617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b + 48. Let d(z) = z - 5. What is 18*d(j) + 2*o(j)?\nAnswer: 8*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 6, 56, 3, 0, 2.\nAnswer: -169, 0, 2, 3, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14943)\/(-2344)*(0 + 32\/6). Solve p*t + 206 - 2 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-2 - -3 - 2). Let s = -73 + 76. Suppose -5*t - p - 4 = -2, 2*t + s*p = -6. Solve t + m = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {o: 2, h: 1, v: 1, a: 2, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from lplp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001570522 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085110.8ns to minutes.\nAnswer: 0.00001808518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 2*c - 93. Calculate o(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10086 = 2*k - 4*t, -3*k - 16*t + 15129 = -18*t. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8379 + 9\/(18\/(-4))?\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-7 - 27\/(-3)) + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -26*a**2 - 28. Let l(w) = 19 + 19*w**2 - 8*w**2 + 6*w**2. Let m(q) = 5*i(q) + 7*l(q). What is the derivative of m(j) wrt j?\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6917586947 to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (29 - (-2)\/1). Let j = a - 1. Let z be (-6)\/j + (-128)\/(-9). Solve z = -5*m + 34 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 7, l: 3, j: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from bbvvmmvvmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 207*g**2 - 539*g + 66855. Calculate q(104).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 257247 and 257221 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1378*u**2 + 227.\nAnswer: -2756*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/6)\/(-11)*(-35)\/(-14)*-12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Suppose 9 - 11 = -m. Let r(x) = 3*x. Let w(c) = m*r(c) + 4*y(c). Let q(z) = -2*z. Determine w(q(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 0. Suppose 0 = 2*h - 3*h + 3. Solve -9 = -m*u + h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/(-20) + (2 - (-30)\/(-25)). Solve -w*d = -7 - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 4*r**3 - 3*r**3 + (-2*r**2 - 4*r**2 + 2*r**2)*(5*r - 3*r - 3*r) - 26*r**2 - 5*r**3 + 43*r**2 - 12*r**2.\nAnswer: -3*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8725977, -8725978, -8725979?\n\"Answer: -g - 8725976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 25170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9361049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Let t(r) = 37 + 4*r - 66 + 37. Let g be t(4). Let h(n) = g*n**2 - 42 + 42. Determine h(f(q)).\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 30 = -6*d + 3*d, 4*d = -2*q - 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75326, 151922, 228514, 305102, 381686, 458266?\nAnswer: 534842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 11*x**2 + 4*x**2 - 15*x**2.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103360 and -226.168.\nAnswer: -103586.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 4, a: 2, l: 1, t: 2}. What is prob of sequence xxsx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288) + ((sqrt(288) + 0 - sqrt(288)) + sqrt(288))*-6 + (sqrt(288) - (1 + sqrt(288) + 4 + sqrt(288) + sqrt(288))) + -2))**2*-2.\nAnswer: -254898 - 21168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24458 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 + 6*k + 2. Suppose -8 = f - 0*f + a, -f + 5*a = -4. Let p be l(f). What is the units digit of (-3)\/(-6) - (-17)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2928000555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3116 and 280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t - 17. Calculate the remainder when a(-7) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11)*a**(-4))**(-2\/57) assuming a is positive.\nAnswer: a**(92\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) -2\/23 (c) 52 (d) -0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 5 (b) 2\/31 (c) 2\/5 (d) 3 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1543 - 1547. Let g(a) = 2*a**3 + 4*a**2 - a + 5. Let x(s) = 2*s**3 + 5*s**2 - 2*s + 6. What is c*x(r) + 5*g(r)?\nAnswer: 2*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*n + 21, 15 = -q - 4*n - 1. Solve 0 = q*f + 5*t - 25, 2*f = -f + t + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 902*c**5 + 19*c**3 + 3*c**2 + 12432*c wrt c.\nAnswer: 54120*c**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 5*a**3\/9 + 7*a**2\/6 + 2*a\/3 + 3. Suppose g(v) = 0. Calculate v.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42832, 42713, 42596, 42481, 42368, 42257, 42148?\n\"Answer: c**2 - 122*c + 42953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttiittt. Give prob of sequence tti.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*-6*4*(sqrt(121) + (sqrt(121) + 3*sqrt(121) + sqrt(121) - sqrt(121))))\/(1*-6*(sqrt(1100) - sqrt(1100)*-2)).\nAnswer: -10*sqrt(11)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-214)\/(-90) - (-9)\/(-15). Let f = d + -55\/36. Suppose 0 + 5\/4*m**2 - f*m = 0. Calculate m.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 974*b**4 + 121950*b**3 + 820818*b**2 + 1736640*b + 1036800 = 0. Calculate b.\nAnswer: -240, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l. Let n(d) = -25*d. Determine 4*n(a) - 10*v(a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1659238685 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222900 divided by 743.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56564.04 years to millennia.\nAnswer: 56.56404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 40. Let c be (5\/(-20))\/((-1)\/y). Let i = -1 + 0.5. Sort -4, c, i in decreasing order.\nAnswer: i, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 241*j - 1334. List the prime factors of y(10).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 491967.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12860 divided by 6430?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 18 + 76)*(-o**2 - 2*o**2 + 5*o**2) + (2 + 2*o - 2)*(2*o - o + o) + 3*o**2 + 2*o**2 - 4*o**2 to p*o**2 + x*o + i and give p.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 4*g - 5 + 5, o = 3*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 - 7*h - 11. What is the remainder when 75 is divided by w(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*u - 2*q, 5*u + 4*q = 0. Let p(n) = 3 + 19*n**2 + 22*n**2 + 16*n**2 - 56*n**2. Let k be p(u). Solve -a = -k*x - 3, -3*x - x = 5*a + 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.192109 or -19.4?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + -5*(sqrt(180)*-2 + 0 - ((sqrt(180) - -3*sqrt(180))*6 - sqrt(180)))*-2)*2)**2.\nAnswer: -12000*sqrt(5) + 45000004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2097*c**2 - 2084*c**2 + 4168*c**2 + 22 as d + g*c + n*c**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-7*h**5 + 3*h**5 + 2*h**5 + (4*h - 4*h + 2*h**4)*(4 - h - 4)) + 6*h**5 - 2*h**5 - 2*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 - 2*q + 1. Let g(u) = 4*u**3 - 4*u**2 - 303*u - 6. Calculate -g(r) - 2*m(r).\nAnswer: -2*r**3 + 307*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151165 is divided by 2712?\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 102 = -22. Let j be 2\/7 - (2 - (-133)\/(-49)). Suppose 34 = 3*t + j. What is the lowest common multiple of t and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1687*235.688\nAnswer: 397605.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -424442490848 and -73?\nAnswer: 424442490775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r**4 + 5*r**3 - 5*r**2 - 5*r + 13. Let m(a) = -a**4 - a**3 + a**2 + a. Let s(b) = -5*m(b) - v(b). Differentiate s(o) wrt o.\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 3\/7 (c) -2.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.562 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30176 and 145\/11361264.\nAnswer: 22722528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(392))\/sqrt(8))\/(2*sqrt(42)\/sqrt(6)))**2 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30094.95 months in millennia?\nAnswer: 2.5079125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 22*k**2 + 11*k**2. Let c(d) = -d. Calculate c(q(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*y**2 + 30*y**2 + 110*y**2 + (4*y - y - 2*y)*(2*y + 4 - 4) - 1 + y**2 + 1 + 2*y**2 + y**2 + y - 2*y**2.\nAnswer: 225*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1127\/10 - 215\/2. Let f = 1 - 3. Find the common denominator of -1 - (2 - 59\/f) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061 is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 187477169 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12143 + -130344?\nAnswer: -113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4995757485 by 5.\nAnswer: -999151497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c + 981. Let x(i) = 6*i - 490. What is -4*b(h) - 9*x(h)?\nAnswer: -2*h + 486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/20*(-2)\/(-2). Sort t, -1\/2, -0.2 in descending order.\nAnswer: -0.2, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g. Suppose g = w + 3 + 24. Let i be 6\/w - 14850006\/(-27). What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -184*i**3 - 190*i - 14. Let j(o) = 37*o**3 + 38*o + 3. Let s(b) = 6*h(b) + 28*j(b). What is the second derivative of s(r) wrt r?\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7 = -3*r, 23*b = 26*b - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.1200687 + -6.12. Round j to 6 decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3252\/(-252) + 13)*21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 704 and 438229.\nAnswer: 28046656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4546557 (base 8) to base 9\nAnswer: -2277274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1122*v**4 - 5631314*v**3 - 9421174938*v**2 - 5253852832326*v + 18730432868.\nAnswer: -2*(v + 1673)**3*(561*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-43)\/(-86)*(2 + 0). Which is greater: r or 2\/1589?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -325*((-15)\/12 + (-5)\/(-20)). Suppose -5*c + u = -4*c - 5*a, a + 947 = 3*c. Suppose -3*n + c = -1248. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = -3*f + 2*f, -4*a + 4*f + 28 = 0. Let j be a\/(((-24)\/(-33))\/4). What is the third derivative of u**5 + j - 11 - 2*u**2 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72812*t - 48287 wrt t.\nAnswer: 72812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47692764?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 0*t + 2*t - 12*t**2 + 8*t + 14. Let i be a(11). Solve 0 = 4*n - z + 8, -4*n - i*z + 7*z = 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 10430.\nAnswer: 3\/10430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16066 + 36633. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o, -3*o = 3*g - 6 - 66. Let m = -16 + g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1309 + 3127. Calculate the highest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 56*n**2 - 17*n**2 - 45*n**2. Let u(s) = 5*s**2. What is u(w(c))?\nAnswer: 180*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1564.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 180, 506, 1028, 1782, 2804?\nAnswer: 4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101706 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22130333 (base 4) to base 8.\nAnswer: -123477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*d**2 - 159*d - 258.\nAnswer: -3*(d + 2)*(5*d + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-273)\/(-65))\/7)\/(2\/(-30))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 3*a**2 - 4*a. Let t be q(-4). Do -2\/25 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 1 r when three letters picked without replacement from {d: 4, p: 3, r: 1, u: 2, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 77 = -13*g + 4*g, 5*g - 18 - 12 = 4*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - r - 1313, -d + 159 = -2*r - 1156. Let z = d + -621. Is z a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13040 and 512.\nAnswer: 417280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (2 + sqrt(75))) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + -102 + (-2 - (1 - (-2 - -12)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - 2 + 1)*(0 + 0 - 1)*(2*f + 5*f + f).\nAnswer: 8*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u - 5*u + u**2 - 12*u + 14*u - 1. Let r be x(18). Suppose 20*w - r = 9*w. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(44\/(-15))*(-196)\/(-245).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 32. Give t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*248\/62*(-1)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1036 and 2881581.\nAnswer: 2881581.1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = x - 7, 0 = -2*a + 5*a. Let r(v) = v**2 - v. Let k be r(-1). Differentiate -4*m + x + 7*m + 5*m**k - 3*m wrt m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*w - 19. Let j be (-85)\/15 + (0 - w). Put 0, j, 1 in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5 - 611*k**3 + 822*k**2 + 9213227*k.\nAnswer: 80*k**3 - 3666*k + 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-9)\/(-12))*(-12)\/72?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 0 + (-8 - -31 - 33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 22075990*y**3 + 5*y**2 + 22075990*y = 0.\nAnswer: -4415198, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**3 - 10*j**2 - 10*j - 7. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 11*v - 42. Let o be m(-4). Let s be (10\/12)\/((-105)\/o - -6). Solve 0 = -4*a + 2*q - 4, -5*q = -s*a - 3*q - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, 0.98, 1562, -1, 1\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:39 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/70)\/((-3)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110012121 (base 3) in base 2?\nAnswer: -10001011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*1\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrkjks. What is prob of sequence rjrs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5602 + 5914. Solve -g = 24*u - 336 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 214*x - 216. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -240819314*m**2 - 220669131?\nAnswer: -481638628*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -377*a - 280. Let h be 0\/(1 - (-9)\/(-3)) - 2. Let f(s) = -189*s - 139. Let i(x) = h*k(x) + 5*f(x). What is the first derivative of i(u) wrt u?\nAnswer: -191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26273*t**2 - 26290*t**2 + 52553*t**2 - 6.\nAnswer: -10*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 12, -16\/5, -4?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 2 (b) 8 (c) -27 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/4))**(-2\/41)\/(l\/l**7*l\/(l\/(l**(-3\/7)\/l))*l*l*l))**(-12) assuming l is positive.\nAnswer: l**(-15042\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13948338985*s - 13948338983*s - 4 + 4.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1612 in 0.09, 2\/9, 9, 4\/27?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(1\/19))*a)*a**(-11))**(-41) assuming a is positive.\nAnswer: a**(8528\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15*i - 1. Let p(c) = -10*c - 9*c - 8*c + 29*c. Calculate p(g(x)).\nAnswer: -30*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8063459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9783 - 76047 = -66*o. Put 5, -2, o in decreasing order.\nAnswer: o, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*3*12\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from nmixnmxmnn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4.93. Let g = r - 0.27. Let t = 4 - 4.3. Which is the nearest to -1? (a) 0 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:12 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4456969 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -0*x, -t - 3*x = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 546*z - 526*z + 18*z**2.\nAnswer: 18*z**2 + 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 + 638*f**2 - 8 + 14 - 652*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -632737*a - 6327368. What is p(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 4 + sqrt(363) + 4)*3*-1)**2.\nAnswer: 3168*sqrt(3) + 13644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**9\/52920 + u**8\/23520 - u**7\/8820 - u**6\/2520 + u**4\/4 + 5*u. Let j(f) be the third derivative of w(f). Factor j(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2030 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:00 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 3)*(5*f - 2*f - 4*f) + 6*f - 14 + 14)*(109 - 1169 - 2263) as i + y*f and give y.\nAnswer: -16615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -15. Suppose u = 6*y - 1. Solve 0 = 2*k + 5*b - 6, 3*b + 4 = y*k + 8*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 1. Let b = 2 - -1. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 588 or -493?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 46 + -59 + (-1 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/72)\/(4\/(-192)*3*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hxhhxyxhhhhxxx.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 6. Let o(i) = 1. Let v(y) = 2. Let s(n) = o(n) - v(n). Determine h(z) - 5*s(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 - 5. Let r be z(-6). Suppose n + 3 - 16 = 5*s, 14 = -4*s + 2*n. Let j = 32 + -28. Sort s, r, j.\nAnswer: r, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 11) to base 3.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 2 in decreasing order.\nAnswer: 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(6\/(-25)*-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*w + 13. Suppose -5*u + w = -16. Solve 0 = u*m - 2*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 69, 75, 95, 135, 201?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 4:47 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j + 5. Let y = 3.18 - -0.22. Let a = y - -1.6. What is the biggest value in j, a, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-16)*0*1. Solve -2*j - 10 = -j + 2*w, -2*j + w - 5 = m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.54 take away -0.016?\nAnswer: -6.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176283*m**3 - 949209*m**2 wrt m.\nAnswer: -1057698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47504.5ml?\nAnswer: 47.5045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d + 138*d - 7*d + 212*d - 12*d + 86*d.\nAnswer: 438*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 15*w**2 - 12*w + 60. Let j be b(-16). Put j, 29, 1\/3, -3\/2 in descending order.\nAnswer: 29, 1\/3, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*n - 375*n + 204*n - 316*n - 693*n.\nAnswer: -1023*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15*h = -19*h - 3414, 2736 = 4*o - 2*h. Is o at most 688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 13. Let t(j) = 5*j - 30. Let w(o) = 2*m(o) - t(o). Let r(v) be the second derivative of v**3\/6 + v**2\/2 + 2*v. What is 3*r(b) - w(b)?\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u - 5. Let x be v(-4). Let i(l) = -l + 8. Let q be i(8). Suppose q*b - 2*b = -8. Solve -y - 2*y = -x, -b*c + y + 7 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvnnjvjcvve. Give prob of picking 1 c, 1 j, and 1 v.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8003.9 - 8004. Suppose -2*l = 5*m + 30, m + 1 = -3. Which is the fourth biggest value? (a) 1\/2 (b) f (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*d = -2*d - 44, 5*v - 4*d - 232 = 0. What is the lowest common multiple of v and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*z + 11, 2*z - 20 = -5*h + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1721 - 1724. Which is the second smallest value? (a) k (b) -1\/4 (c) 4 (d) 2\/7 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*14\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5)*35\/4. Let i = -2.0238 - -2.5238. What is the nearest to 2\/5 in i, u, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)\/(-2*(5 - 4)). Let h be (-3 + c)*-3 - 1\/1. Suppose 5*m + 54 = h*m. What is the greatest common factor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5549070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6955.\nAnswer: 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*3 + sqrt(136) - (sqrt(136) + 2*sqrt(136)*-5))\/(3*sqrt(512)*4 + sqrt(512) - sqrt(512)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 831 + -803. Calculate the remainder when 159 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (84\/7 - 15)*1. Let f(m) = -5*m**2 - 7*m + 9. Let n(o) = 2*o**2 + 4*o - 5. Give c*f(a) - 5*n(a).\nAnswer: 5*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(539) - sqrt(539)*-4 - sqrt(539) - sqrt(539)) + 0 + sqrt(539)*-4*-1)**2.\nAnswer: -490*sqrt(11) + 26436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2302?\nAnswer: 1\/2302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101 (base 2) in base 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose x = h + 3. Let j be h\/12 + (-39)\/(-12). Solve -j*g = 3*u - 2*u + 4, 0 = -5*g + u + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + 3. Let q be 1\/1 - 7 - 2. Let f(k) = k - 1. Let u(m) = -15*m + 15. Let z(t) = -t + 1. Let y(p) = u(p) - 18*z(p). Calculate q*f(n) + v*y(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let m = 3 - l. Let y be -2 - (0 - 64\/28). What is the closest to y in 0.3, m, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x, 3*z - 3 = x + 9. Suppose -4 + 22 = z*s. Suppose 0 = -s*p + 255 + 135. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j - 105. Let x = 34 + -16. What is the remainder when o(-16) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*k + 28, 0*s - 2*k = 2*s. Which is the third smallest value? (a) -0.5 (b) 9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*s**4 - 7832702*s**3 + 1958176*s**2 = 0. Calculate s.\nAnswer: -979088, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13913.\nAnswer: 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38\/4 + -8)*(-8)\/(-66). Which is the nearest to -2\/5? (a) -0.1 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14451 is divided by 688.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30311311 (base 4) to base 14\nAnswer: 1524d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*f - 4. Let t be (-7746)\/(-45)*141 + f + -3. Let j = -37132399\/1530 + t. What is the common denominator of -61\/20 and j?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(20)\/(sqrt(60)\/sqrt(6))) + sqrt(2) + sqrt(16)\/sqrt(128) + sqrt(2).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 60 = -o, -4*o + 6*o + 10 = -2*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35940317 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 equal to 26\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiyy when four letters picked without replacement from {y: 3, i: 1, k: 1, h: 3, x: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1081*y - 2758*y + 2721*y - 7735*y - 4841*y to o*y + s and give o.\nAnswer: -13694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261056*h**5 + 35532*h**2 - 9?\nAnswer: -15663360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = o. Suppose 0 = 3*r + 2*j - 1 - 11, -8 = -o*r + 2*j. Factor -l**5 - 2*l**3 + 3*l + 5*l - 2 + r*l**4 - 2*l**3 - 2*l**2 - 3*l.\nAnswer: -(l - 2)*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa7 (base 15) to base 5.\nAnswer: -141112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2*(-2)\/4 + 6 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 - 3*c**3 - 9*c**2\/2 - 36*c - 3. Calculate l(13).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 29*q + 639 = 0. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2757.42 + 42799.\nAnswer: 45556.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*x - 3*p - 127, 5*x - 270 = p. Let r = -49 + x. Suppose r*y - i - 808 = 0, -2*y = 3*y - 4*i - 1010. List the prime factors of y.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-2)\/sqrt(10) - (-4*sqrt(45)\/sqrt(5) - sqrt(9)))\/((sqrt(288)\/sqrt(108))\/(2*sqrt(392))).\nAnswer: 126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:12 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.069, -0.4, 6910?\nAnswer: 6910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8451536t in grams?\nAnswer: 845153.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1374732 (base 8) to base 11\nAnswer: -248279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 + 44200*z**3 + 88390*z**2 - 44200*z - 88392 = 0.\nAnswer: -22098, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -300*c + 49. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -36. Suppose h + 1 = 3*j + j, -3*h + j = l. Let g be (-1*1)\/(-22 - h). Which is the second smallest value? (a) -4 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 9 + 3. Let l be (-52)\/(-8) - i\/(-2). Suppose g + 1531194 = 5*b - 2868806, -5*b + 22000000 = -l*g. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 207*o\/2 - 44835.\nAnswer: (o - 915)*(o + 294)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6389, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3 + 7. Suppose -12*b + 10*b + 486 = h*t, -3*b = 4*t - 967. What is the lowest common multiple of 20 and t?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1505 + -1366. What is the remainder when a is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221332 (base 6) to base 11\nAnswer: -12988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*j + 2912 = -521*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121222000 (base 3) to base 14.\nAnswer: -4714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(o - 4*o + 4*o)*(2*o - 5*o + 4*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/14 and 485\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 22. What is the units digit of 3 + r - (-29)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 169366.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415 + 417. Suppose 4*x - n = 36, 0 = x + a*n - 0*n - 18. Let w be (-1)\/(-3) - (-418)\/6. What is the greatest common factor of w and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-65)\/26)\/5*8)\/42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) + 124\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = -32. Let s(y) be the first derivative of -y**2 + 4*y + 1. Let g be s(b). Solve 6 = -2*d + 2*h, -d + g*h = 4*h - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 150 + 293*r)*(-3 + 5 - 1) - r + r + r.\nAnswer: 294*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - 39. Let f = k - -113. Let i = -0.05 + -0.25. Which is the second biggest value? (a) 0.4 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 14. Suppose 0 = 2*v - 2*t + 2, 5*v - 3 = -2*t - 1. Suppose 18 = 3*l - 0*f - 4*f, 4*l - 2*f - 24 = v. Give r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*j + 1)*(43*j**2 + 8*j**2 + 32*j**2) + 2*j - 2*j**3 - 4*j + 1 + j in the form r*j**2 + v*j + d + k*j**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11990, -23988, -35998, -48026, -60078, -72160?\n\"Answer: -j**3 - 11991*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 - 770*m**2 + 765*m = 0. Calculate m.\nAnswer: 0, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -12. Let o = -12 - l. Let h be (-3 - (-10 + o)) + 0. Solve -q = -2*q - h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - (-2 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120 - 2\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**13\/w)\/w))**2)**36 assuming w is positive.\nAnswer: w**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 3892198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 169. Let v(q) = 47*q - 7. Let t be v(n). Which is bigger: -53 or t?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/6)\/((-8)\/12). Suppose 3*m = q + 37. Let s be ((-6)\/(-10))\/((-1)\/(-5)). Solve -1 = -s*u + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385 + 389. Calculate the highest common factor of 44 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13182*u. Let t(v) = -4793*v**2. Determine t(n(d)).\nAnswer: -832856239332*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 132. Let c be t(15). List the prime factors of (c\/(-5) - -2)\/((-6)\/3495).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + (10 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32079*n**4 + 21*n**3 - 5354505*n wrt n.\nAnswer: -384948*n**2 + 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-5 - 5 + 6) + 3 - 1 + 0)*(3*h**5 - 3*h**5 + h**5).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*i + 2*u, -51*i + 3*u = -46*i - 111. Calculate the remainder when 957 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13580 <= -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 + u + 29. Let r = -19 - -20. Let a be (0\/(-6 - -4))\/r. What is the tens digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260044842*q**3 + 897719980 wrt q.\nAnswer: 780134526*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + sqrt(52) + 2 + -4*(3 + sqrt(13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/4 - 11*a**4\/4 + 21*a**3\/2 - 27*a**2\/2 - 134*a. Solve o(g) = 0.\nAnswer: 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1812 and -49\/30.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/5 + 9214*r**2\/5 + 1624868*r\/5 - 3286576\/5 = 0.\nAnswer: -172, 2, 4777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(204) + -4*sqrt(204)*2)\/(6*(sqrt(12) + 4*sqrt(768))*3).\nAnswer: -10*sqrt(17)\/297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 170, -4, 1 in descending order.\nAnswer: 170, 10, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**4 + q**3 - q + 1. Let n(l) = -55*l**4 + 4*l**3 - 15*l. Let a(f) = 4*g(f) - n(f). What is the second derivative of a(v) wrt v?\nAnswer: 708*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -16) + 25 + -17 + 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/(-23)*1\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from jjttj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1195 + -1197. What is the third smallest value in 2\/7, h, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2711*j - 29264. Determine r(-11).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 6. Suppose -15*u + 10*u - 15 = 0. Let n be u + (-22 + -2)\/4. Let x be f(n). What is the highest common factor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 22761 = -g, 5*s + 3797 = 7*s - g. What is the remainder when s is divided by 473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 24*s**2 + 6*s**2)*(-14*s + 26*s - 11 - 8*s) + (2*s - 3*s + 2*s)*(3*s**2 + 2*s**2 - 2*s**2).\nAnswer: 115*s**3 - 308*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000182637437 to seven dps.\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 - 86*t\/5 + 84\/5 = 0. Calculate t.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10111101110111?\nAnswer: -10111101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 1998?\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/25*(0 + 10). Solve m - i*k - 9 = 6*m, 4*m = 4*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -5*t + 74 - 149, 11*i + 5*t = 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87032 and 3520?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 754552*j\/5 - 71168590088\/5.\nAnswer: -2*(j + 188638)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1310)\/70 - -10) + 9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*d**3 - 144*d + 143*d + 38*d**3 - d**2 - 79*d**3 - d**2 - 16 to u*d**2 + a*d + v*d**3 + i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/2 + 189*v**2\/2 + 277*v - 372 = 0.\nAnswer: -186, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 933.8?\nAnswer: -935.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -130 - 56. Let n = x - 124. Let s = n + 87. Solve -2*v = 3*c - 0*v + 25, s = -4*c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6442 or -6445?\nAnswer: -6442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.04 + 1. Let z = 0.737 + -0.729. Let s = 3.008 - z. Put 6, i, s in decreasing order.\nAnswer: 6, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 3. Let p be s(0). Let l be 3 - -9*(p - 1). Suppose -5*w - h + 3 = -l, 0 = w - h - 6. Let o(t) = -t**3 + 5*t**2 + 2. What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-2 + (-308)\/(-64)). Let v = -1 + 0. Is v less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -563\/44, -1\/6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22832?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-20) + (-18)\/5 - -540. Let p = -278 + w. What are the prime factors of p?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*f - 216, 965 - 956 = -3*f. Solve 2*c + 47 = j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(sqrt(363) + 0) + sqrt(363) + (sqrt(192) - (sqrt(192) + (1 + 0 + sqrt(192) - sqrt(192)))))**2.\nAnswer: 440*sqrt(3) + 9091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13979 and 10342463.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 + 4*m**2\/13 + 14*m\/13 + 8\/13.\nAnswer: -2*(m - 4)*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121796289?\nAnswer: 3, 19, 389, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 584? (a) 1 (b) 2 (c) -3341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((15 - 5) + -19 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 1 - 1 + 3)*(-202 + 7*h + 202) to the form k*h**2 + t + f*h and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 3*w**5\/20 + w**4\/6 - 4*w**3\/3 + w**2 + 12. List the prime factors of z(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 4. Suppose 4*k - 2*k - 42 = 0. Suppose -5*d - k = -2*d. Let o be m(d). What is the highest common divisor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34314240 - 212?\nAnswer: -34320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -76506 divided by 246\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63771588?\nAnswer: 2, 3, 31, 57143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 3. Let y be w(-3). Let b be ((-8)\/8*10)\/(-2). Let v = -2 - -7. Solve y - b = c, 3*l - 40 = v*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 4*f + 2*f)*(113*f - 6*f**3 - 113*f) + 1205*f**4 - 10 + 18 - 8 + 70*f**4 as m*f**3 + o*f**4 + r*f**2 + d + j*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.44 - -13.44. Let y = -41 - -17. Let f = y - -23.7. Which is the smallest value? (a) h (b) f (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 5*s. Suppose 25 = 2*i + 3*l, -l + 10 = -0*i + i. Let w be t(i). Solve 0 = a - 4*k + 11, a - 5*k = -w*a - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/6*15\/20 and 41\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30899311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.43163 to two decimal places.\nAnswer: -4.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2 - 1. Let x be f - (-2 - 2) - 37. Let m = -21 - x. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -400 - -405. Put -4, p, 25 in decreasing order.\nAnswer: 25, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 + -2331?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1261 divided by -513370\nAnswer: -97\/39490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from yyyqeyeyeeeeeyeeeyee?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/10080 + w**7\/2520 + w**5\/60 + 9*w**2. Let k(x) be the third derivative of g(x). Factor k(z).\nAnswer: -2*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41266 and 1237102.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 26*z - 22*z - z**2 + 1 + 49*z. Suppose -5*w = 2*i - 10, -w + 2*i - 9 - 1 = 0. Let f be v(w). Solve -3*p + 5*c = -p - 11, 2*p + f = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + o - 18*o - 19*o in the form c + v*o and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2909664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4182)\/(-136))\/(141\/188)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*l - 3, 154300*i + 4*l = 154298*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 66*d - 61. Determine o(67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 125587.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a24688a?\nAnswer: a246886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = v + 763. What are the prime factors of v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d**2 + 5*d**2 - 153*d**3 + 4*d**2 - 2*d**2.\nAnswer: -153*d**3 + 47*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s - 80. Let h be d(0). What is the remainder when 147 is divided by (30\/(-4))\/(15\/h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/((-1224)\/(-27)) + ((-5)\/(-2) - 2). Let a = -39\/10 - -37\/5. Let l = a + -73\/22. What is the nearest to 2\/5 in z, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 1551*y**3 + 199689*y**2 - 201243*y.\nAnswer: 3*y*(y - 1)*(y + 259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -88. Suppose d = a - 4*d - 24, 3*a - 5*d - y = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262 + 287. Suppose -k*m + 37*m = 4608. Does 48 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = -634 + 7982. Let i = t + -334. Solve -g = -i - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 22 - (18 - (-15 - -28))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**5 - 4725066*v**4 + 11025111*v**3 - 3150030*v**2 = 0. What is v?\nAnswer: 0, 1\/3, 2, 525005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/3 + 345392*o - 44735862624 = 0. What is o?\nAnswer: 259044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4874, 9825, 14854, 19973, 25194, 30529, 35990, 41589?\nAnswer: 47338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 4*s**2 - 95*s - 6*s**2.\nAnswer: -2*s**2 - 95*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 7, 0.4, 2\/7, 2\/15 in descending order.\nAnswer: 142, 7, 0.4, 2\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*(935*(-4)\/(-176))\/(5\/2)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 9*r - 11. Let k be x(-7). Solve -4 = k*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and ((6\/(-4))\/1)\/(33\/(-88)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 + -359. Differentiate 12*z + 34 + z**2 + 2*z**2 - c*z with respect to z.\nAnswer: 6*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*u + 54 = 0, -3*f + 3*u = -6*f + 168. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -358*p + 2077. Let y be h(6). Which is the closest to 2\/9? (a) -2 (b) 1 (c) -1\/2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.1 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/170*10\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 5\/32*j**4 + 41\/16*j**3 + 287*j + 0 + 3\/2*j**2. Factor c(d).\nAnswer: 3*(d + 8)*(5*d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 129590 = -y, -4*a = -6*y - 38343 - 65329. List the prime factors of a.\nAnswer: 2, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**4 - 4*r**4 + 6*r**4 + (-r**3 - 3*r**3 - r**3)*(r - 2*r + 2*r) to i + z*r**4 + q*r**2 + o*r + l*r**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 873, 1436?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*x + 57 = 0, 14*x = 15*x - 5. Solve 25*o - 17*o = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a factor of 911220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1128864 and 53328?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpypyb. Give prob of sequence by.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2. Let q be n(-2). Let t be q\/6*(0 + -1). Suppose -2*x + 0*x - w - 960004 = t, 0 = -2*x - 2*w - 960008. Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 13) to base 3\nAnswer: -202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1436 - 320026?\nAnswer: -316370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.11 rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1147 (b) -1\/4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 9*x + 6 = 2*n, -n - 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151.0103 + 151. Round m to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4034491, 4034440, 4034389, 4034338, 4034287?\nAnswer: 4034236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(28)\/sqrt(144).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1043096159 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 6. Let a(g) = 4*g + 44. Let k be a(-10). What is i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/195*6*19\/(399\/70).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -334 + 484. Let d = q + -128. What is the smallest value in d, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9 - 1. Suppose 0 = f - 3, -3*q - j*f + 6 = 2*q. Let g be 4\/4 - 1*-3. Solve 0*i - g*i = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s**2 + 504*s + 35. Calculate r(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let y = -15.8 - -16. Let j = -7.42 - -7.02. Which is the closest to -1? (a) f (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 5*l + 161. Let u(v) = 4*v**2 - 4*v - 163. Calculate 6*c(j) + 7*u(j).\nAnswer: -2*j**2 + 2*j - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -703\/305238 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 2*x + 2. Let t be d(-4). Let c = t + -77\/3. Factor -1\/3*i**3 + c - i + i**2.\nAnswer: -(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 142*y\/3 - 95\/2.\nAnswer: (y - 1)*(y + 285)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**3 + t. Let g be v(1). Suppose 2*m - 46 = -2*h, -h + 3*m = -14 - 9. Find the first derivative of -12 - 5*o + g*o - 13 + h wrt o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16168, 2\/9, -4, 0.5, -0.81?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*a - 1987 - 95, -1529 = -3*p + 5*a. Let w = 542 - p. Solve -6*o + w = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/30 and (0 + 532\/(-12))\/(7 - 1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23739 is divided by 201?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1481*l**3 + 15*l**2. Let a(k) = 104412*k**3 - 1056*k**2. Calculate -5*a(c) - 352*o(c).\nAnswer: -748*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 8645?\nAnswer: 8645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111950 from -9976433.\nAnswer: -10088383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-4)*z)\/(z**(2\/13)*z))\/(z*(z\/z**(1\/20)*z*z)\/z*z**(3\/7)))**(1\/9) assuming z is positive.\nAnswer: z**(-1321\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 - 133 + 271 + 241*o.\nAnswer: 241*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 5) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222333132 (base 5) to base 11.\nAnswer: 1724017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*4*2*sqrt(1296))\/(sqrt(12) + (sqrt(12) - -1*sqrt(300)) + -2*sqrt(300)))**2.\nAnswer: 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 57, 143, 263, 417?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1383 + 1615. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.5 + 46.41. Sort 5, d, -2, 3 in ascending order.\nAnswer: -2, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207795721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t - 2*j + 41, -4*j = -16. Let d(s) = -s**2 - 12*s - 13. What is d(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14135?\nAnswer: 5, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -175\/2. Let p(h) be the third derivative of -h**5\/60 - h**4\/24 - h**3\/6 - 2*h**2. Let l be p(0). What is the second smallest value in l, c, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 69*s + 837 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from zezk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1916, 1910, 1892, 1856, 1796, 1706, 1580?\n\"Answer: -h**3 + h + 1916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152618, -152602, -152586, -152570, -152554?\nAnswer: -152538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*f + 197*f - 219775573 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:26 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25660, 25658, 25656, 25654?\n\"Answer: -2*f + 25662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -22. Suppose o + i = 3*o. What is the remainder when o is divided by (-16)\/(-3) + -6 + (-34)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from 356.\nAnswer: 355.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 5\/(-40) + (-1193)\/(-8). Let u = g + -8. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.77 (b) -5 (c) -0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 2\/49 (c) 84 (d) 21\/4 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-34) - (-967)\/17. Suppose -132 = y*z - 59*z. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 13*r - 36178 + 4*r + 35991.\nAnswer: 15*r - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 2, v: 2, y: 2, z: 8, j: 1}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**(-4\/29) assuming f is positive.\nAnswer: f**(20\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(2) - sqrt(3))*5.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*p + 1. Solve 5*q = -p - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/23160 and -107\/18360.\nAnswer: 3543480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 109532.\nAnswer: 5914728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719780 (base 15) to base 16.\nAnswer: 525f30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 90 = -0*k - 5*w, -11*w - 91 - 62 = 2*k + 44 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*(2 - 3). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:12 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -2 + 25 + -10 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83475 - -324081\/4. Let d = -2474 - h. Calculate the common denominator of d and -59\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 32972*g + 87540320.\nAnswer: 2*(g + 3326)*(g + 13160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/36 and 1\/172.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 1. What is o(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 8*y - 5. Let c be z(-7). Let t be 0 + (0\/c)\/3. Suppose w + w - 68 = t. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5.67 (b) 0.4 (c) -0.1 (d) -33\/5 (e) 2\/107 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 o when three letters picked without replacement from hkwho?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*z**2 + 46 - 9 - 9 + 38 wrt z.\nAnswer: 88*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q - 2*v - 2 = 20*q, -4*v + 21 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.02833\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -58\nAnswer: -11\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 3. Let v be a(0). Solve v = -s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1461, -5605, -12585, -22461, -35293, -51141, -70065, -92125?\nAnswer: -117381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5437774 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(675) + sqrt(675) + -1 - (sqrt(108)\/sqrt(4) + sqrt(27))**2*3*-1).\nAnswer: 30*sqrt(3) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000962388 rounded to 7 decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31273*s**3 - s + 88474 with respect to s.\nAnswer: 93819*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7527 = -129*z + 2413 - 1168. Solve -z = -2*x - 56 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*c + 14570, -3*c = -5*c - 2*h - 14566. Let z = c + 2278. Let n = z + 8008. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 6:17 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16992*y - 124 = -8499*y - 8497*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*l**2*o**3 + 3*k*l**2 - 5*k*l*o**3 + 4*l**2*o**3 + 2*l**2*o**2 + 21*l**2 wrt o?\nAnswer: -6*k*l**2 - 30*k*l + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - 13*n**2 + 22*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 80 = -4*h + h, -5*h = -2*g - 185. Sort -5, -4, h, 1 in decreasing order.\nAnswer: h, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 25. Let k = 24.1 + -11.1. Let w = n + k. Which is the nearest to 2? (a) -2 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus 24124136?\nAnswer: -24124136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 268734091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 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: Let w = 57 + -47. Solve -5*j + 16 - 1 = -2*m, -m + 5*j = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -842724 - -0.0429962.\nAnswer: -842723.9570038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-10 - 0))\/(1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 5. Solve -4*z - 2 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 16*o**3 - 78*o**2 - 112*o - 49 = 0. What is o?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4) - sqrt(11)) + 4 + -1 - (sqrt(264) + (sqrt(264) + sqrt(264) + (sqrt(264) - sqrt(264)*-1) - sqrt(264)))\/sqrt(6))**2.\nAnswer: -48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*g + 3*g + g)*(4 + g - 4) - 2*g**2 + 3 - 3 + (g + 2*g - 2*g)*(1 - 1 + 2*g) - 1602 + 1602 - 43*g**2 as x*g + a*g**2 + i and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*66\/4. Let f(t) = 3*t - 5. Is f(h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(475))**2.\nAnswer: -120*sqrt(19) + 2874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 7*p - 7. Let k be 1*(0 + 10 + -5). Determine j(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 8)\/1 - (-38094)\/6. Suppose 10*w - l = 10278. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/2 (b) 3\/5 (c) 391\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365 and 3.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000481 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288184 is divided by 6044.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b = 144 + 186 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, m: 3, g: 4}. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -31. Suppose 2*j - 4*i = -3*j + 353, -4*j - y*i + 268 = 0. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 281920*j\/3.\nAnswer: 2*j*(j - 140960)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i. Let n be v(3). Determine l, given that 255*l**2 + 34*l**n - 42*l**3 + 3*l**3 = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*x**3 - 131*x**2 + 0 + 129*x**2)*(-133 + 259 + 31) to c + n*x**2 + l*x**3 + g*x and give n.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from eeeeeeeeexexeeeexe.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424717 is divided by 474895.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 t, and 1 o when four letters picked without replacement from {o: 2, t: 1, g: 2, x: 2, l: 4, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63548, -127094, -190638, -254180?\n\"Answer: o**2 - 63549*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/1725)\/((6\/9)\/(5\/5))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:50 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**3 - 35*d**3 - 98*d + 92*d.\nAnswer: 3*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {z: 2, w: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/42*7*(-9)\/630.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3\/6 + 57*p**2\/2 - 13*p - 1. Let o(r) = 2*r**2. Calculate z(o(u)).\nAnswer: -2*u**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x - 64. Suppose -52 = -2*c + 4*p, 4*p - 68 + 0 = -4*c. Calculate the lowest common multiple of c and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:33 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-9))\/n**7)\/(n*(n\/(n**(-10)*n))\/n*n**(1\/7)\/n) assuming n is positive.\nAnswer: n**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10082 - 10067. Let q be (6\/(-9))\/((-8)\/60). Let a(d) = -d**3 + 6*d**2 - 2*d - 5. What is the remainder when x is divided by a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a factor of 1364660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 10*k - 36. Suppose -3*q + f = 39, -1 - 38 = 4*q + 3*f. Give o(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755103781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + t**2 - 7*t**2 + 2*t + t**2 - 2*t + (t + 0 + 0)*(11*t + t - 4*t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -118*g + 122*g - 26502, -5*g - 39698 = -3*y. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*p - 153. Suppose 0 = 28*f - 23*f + 15. Let u(t) = t**2 + 3*t + 5. Let x be u(f). Solve -x*v + 8 - p = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**2 - s**5 + 1 + 5*s**5 - 1 wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28824*z - 201744. Calculate x(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 45, 121, 239, 405?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.109 - 0.091. Let f = 4.6 + u. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 - 3*o - 2. Let w = -122 - -121. Let j be c(w). Is ((-28)\/j)\/((-2)\/260*2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*g*l**2 - 73*g + 4*l**4 - 2*l**3 wrt l?\nAnswer: 48*g*l + 16*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.58 + 27.53. Which is the fourth biggest value? (a) -11 (b) 0.7 (c) -1\/8 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - -1) + 0 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(20)\/(-3*sqrt(4)*-1).\nAnswer: sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -27*v + 2. Let k be t(3). Let j = 145 + k. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 416 = -84*d, -18*d + 13*d + 5*v - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34300 + -1?\nAnswer: 34244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -201, -308, -435, -588, -773, -996, -1263?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**6\/6 + p**5 - 2*p**4 + 4*p**3\/3 - 6. Determine i, given that m(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0229 + 0.048. Let i = k - 0.1251. Which is the closest to 0.1? (a) i (b) -1\/8 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061*v = -1067*v + 756. What is the least common multiple of v and 33?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3)\/(-6))*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72112907*f**3 + 186200934*f.\nAnswer: -432677442*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**3 + 2*j**2 - 5*j - 3. Let g(b) = -b**3 - b - 1. Calculate -4*g(n) + u(n).\nAnswer: 13*n**3 + 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*l**2*q - 2*h**2*l**2 + 129*h**2*q + 6*h*q - 3*h + 38*l**2 wrt q.\nAnswer: h**2*l**2 + 129*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 1861 = 12034. Suppose -i + 5795 = 10*q. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 274, 5\/28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*((d**(-3)\/d)\/d)\/d)\/d)**(-2\/59)\/(d**(3\/7)*d)**16)**48 assuming d is positive.\nAnswer: d**(-449088\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 - -84.4. Is 0.1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 324 + 838.248.\nAnswer: 1162.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 485*p - 485*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*t = -151, 6*t - 10 = t. Do -47 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*z - 42*z - 3831 + 2445 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 16*r - r. Sort r, 5, 3, -13 in decreasing order.\nAnswer: 5, 3, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3\/5 (c) 25 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prpr when four letters picked without replacement from {k: 2, p: 2, q: 1, v: 2, r: 10, z: 2}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 - 3*q. Suppose -3*a + 4*r + 50 = -a, a - 4*r = 31. Calculate the remainder when b(5) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3.12. Let t = -0.1 + 1.6. Let y = -1.3 + t. Is u at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 202 = -s + l, -5*s + 334 = -l. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210222 (base 3) in base 5?\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 5. Let d(q) = q + 1. Let k be (-12)\/(-9)*(-15)\/(-25)*5. Determine k*l(z) + 22*d(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16927683*t - 3.\nAnswer: -16927683*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.869*245.\nAnswer: 947.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(567)*1)**2 - sqrt(567).\nAnswer: -9*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 3688*m**2 - 729376*m - 34329984.\nAnswer: 2*(m - 2028)*(m + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -851, -852, -853?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.6 - -18.6. Which is the closest to 1\/3? (a) r (b) -3\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/33))\/f**13*f**17*f*f*f*f*f*f\/(f\/(f*((f\/((f\/(f*f\/f**11)*f)\/f))\/f)\/f)))**12 assuming f is positive.\nAnswer: f**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4262.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 4 = 22. Let h be -3 - (n + 8988)\/((-2)\/(-3)). Let q = -242605\/18 - h. Calculate the common denominator of q and 103\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h + 140*h + 767*h.\nAnswer: 879*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 39*s + 56. What is c(-5)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-28))\/((-1)\/7). Let m(f) = -f**2 + 6*f + 3. Let w be m(q). What is the first derivative of -6 + 1 - 4*c**4 - 2*c**4 - w wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(1088) + sqrt(1088) + (sqrt(1088) - (1 + sqrt(1088) - sqrt(1088)))*6)**2*-6 + (1*sqrt(1088) + 5 - (0 + 1*sqrt(1088)))).\nAnswer: -2508012 + 27648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14754780 to the nearest integer?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191612 (base 12) to base 8.\nAnswer: 1527456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from qiqqiig?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.079 * 349.7.\nAnswer: 27.6263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.250216 times 174\nAnswer: -43.537584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 5*i - 9 = 0. Let p(h) = 27*h**2 + 18*h + 61. What are the prime factors of p(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 9 - 11 - 2 - k. Let m(z) = z - 1. Determine -a(y) + 4*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1922 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*n**3 + 2*n**2 - 62*n**3 - 2*n**2.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**5 - r**2 - r - 1. Let t(i) = -12*i**5 + i**2 - 2*i - 2. Let y(d) = 2*q(d) - t(d). Find the third derivative of y(a) wrt a.\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 1\/150*d**5 + 0*d + 0*d**3 - 3*d**2 + 2\/525*d**7 + 0*d**4 - 1\/100*d**6. Factor g(l).\nAnswer: 2*l**2*(l - 1)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30127 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 -44455643 (base 7) in base 2?\nAnswer: -1110101010111110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/((q\/(q**(-2)\/q))\/q*q)*q**(-7)*q*q**(-8)*q*q assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u - 21. Let x be y(4). Solve 0 = x*l - 4*s + 13, 0 = -2*l - s + 2*s - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 79340937?\nAnswer: -7934093.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + (1161\/12)\/9. Suppose 3*f + 4*k - 248 = -16, f - 81 = -5*k. Suppose -13*o = -h*o - f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t. Let a be 9\/7 - 4\/14. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 3*u + 6, -3*j = 9. Let a(d) = -d**3 + 4*d**2 + 6*d - 5. Let c be a(5). Let q = c + u. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -26*u**3 - 3*u**2 + 10*u + 24*u**3 - 18*u - 8*u - 8 - 3*u**2. Let l(j) = 4*j**3 + 11*j**2 + 32*j + 15. Calculate -11*a(c) - 6*l(c).\nAnswer: -2*c**3 - 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m. Let v(l) = 19*l**2 - 12101*l + 12101*l - 8*l**2. What is v(g(w))?\nAnswer: 1584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 573246*m**3 - 573241*m**3 - 12 + 6 + 10*m**2 + 6.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -172, -427, -784, -1243, -1804?\n\"Answer: -51*u**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5548572338 to the nearest integer?\nAnswer: 74489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -19. Let x(k) = 2*k - 6. Let u be x(5). Suppose 2*v - u*w - i = -v, w = 5. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u = 17954 - 818. Let r(d) = -10*d - 4. Let s be r(-4). What is the greatest common divisor of u and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2045 and 1523.\nAnswer: 311.4535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30678 is divided by 767.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, s: 7, x: 8}. What is prob of picking 2 s, 1 a, and 1 x?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 876 and 135342?\nAnswer: 270684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/5)*m**(4\/15)*m assuming m is positive.\nAnswer: m**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18877025 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 17.3. What is the closest to -1 in -1\/6, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2237)\/1490 + (-159)\/(-106). Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*c**3 + 0*c - 18 - 33*c**3 - 11*c**3 - c as s*c**3 + b*c**2 + p + i*c and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*sqrt(60)\/sqrt(4))\/(sqrt(27)*-1 - sqrt(3)) - ((sqrt(180) - (0 + sqrt(180))) + -3 - 3*2*-2*sqrt(5)))**2.\nAnswer: -42*sqrt(5) + 2221\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1398 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 4*r**2 + 4*r - 4. Let p be z(4). Is 223993\/49 + p\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 84 = 15. Let n(o) = x*o + 3 - 3 - 25*o. Let h(r) be the first derivative of 10*r**2 + 80. Give h(n(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 + 3*a**3 + 44*a**2. Let u be l(2). Solve -u = 2*y - 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -309dd2?\nAnswer: 309dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -845*g**4 - 39141700*g**3 - 216765360*g**2 - 300127680*g = 0.\nAnswer: -46316, -36\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1122 + -1.8878. Let s be ((-11)\/(-5) - 1)*-5. Let y be ((-1)\/4)\/(3\/s). Which is the biggest value? (a) y (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791582295 divided by 159?\nAnswer: 4978505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3 - 35\/(35\/4)) + -454. Put 3, 1, z, 0 in ascending order.\nAnswer: z, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2486064 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17)\/q)\/q*q\/(q**(-22)*q))\/(q\/((q**(1\/20)*q)\/q))**(-2\/31) assuming q is positive.\nAnswer: q**(105103\/5270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 385712*d + 32. Suppose 0 = -2*b - 33 + 61. Let n be q(b). What is n rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:36 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 2 + 12 + 4*u as a + s*u and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 less than 41156?\nAnswer: 41262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**5 + 4*m**4 - 10*m**3 + 2*m**2 - 6. Let t(a) = a**5 - a**4 + a**3 + a**2 + 1. Let p(i) = -h(i) - 6*t(i). Let p(s) = 0. What is s?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.03754 + -0.58.\nAnswer: 1.45754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7486*k + 7908*k + 11394 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnccnqnwqqqwe. What is prob of sequence qww?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-26)\/(-312). What is the nearest to 1 in o, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-70)*(-24)\/2. Let h be ((-56)\/(-7) + -9)*2. Let r = -2 - -2.5. What is the second biggest value in h, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*7\/189)\/(1\/(-42))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137440 divided by -34360.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**8\/105 + 11*h**5\/60 - 7*h**3 - 24. Let d(p) be the third derivative of m(p). Find the second derivative of d(y) wrt y.\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*q + 48 - 156*q - 42 - 3*q**2 + 119.\nAnswer: -3*q**2 + 2*q + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -7*c**4\/4 + 15*c**2 + 40. Find the second derivative of x(d) wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11 - 9*a + a**2 - 9*a + 6*a. Let b be s(11). Let r be (b - -1)*(-6)\/4. What is the closest to 0.1 in 5, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1441202 - -102231?\nAnswer: 2043433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 - 2*b - 4. What is the smallest common multiple of m(-3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12005 + 14330. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1311 + -2?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w**2 + 82629843*w\/2 + 2065746 = 0.\nAnswer: -1377164, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 3*y + 3*y. Let r(i) be the third derivative of -7*i**5\/30 + 276*i**2. Determine r(a(q)).\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -234493\/2 equal to -117248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i - 6. Let d(n) = -71*n + 23. What is -2*d(x) - 9*f(x)?\nAnswer: -11*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14025*p - 9156*p + 628*p as l + x*p and give x.\nAnswer: -22553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -72. Calculate the greatest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 23.23.\nAnswer: 21.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -99. Find the common denominator of (83\/30)\/(30\/c) and 71\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1876 - -2696. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-10 - 1) + -43 + 55\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from nnchhhcc.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/9))\/f**0)**(-3\/31) assuming f is positive.\nAnswer: f**(-5\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20 = -3*l + s, 2*l = -5*s - 20. Let k(q) be the first derivative of 0*q - 4\/15*q**3 - 1 - 1\/5*q**2 + 1\/15*q**6 + 4\/25*q**5 + l*q**4. Factor k(j).\nAnswer: 2*j*(j - 1)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 2. Let m(l) = -232*l + 6 + 4 - 1 + 240*l. Calculate -2*m(v) + 9*r(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 5. Let r = -10 - -10.4. Which is the closest to 1? (a) z (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 10 + 0*k + 15. Let y(i) = 6*i - 7. Give 7*c(f) + 5*y(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*w = 3*v - 408, 4*v = -w + 340. Suppose -3*i = -12, v = 3*p + p - i. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 5 - -3 - (46 + -36)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226771 is divided by 1157.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30637 is divided by 853?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 380891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + 2 + -3. Suppose -3*a + 6*a = 0. Let z(y) = 5 - 7 - y + a + y**2. Determine z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, 10, -1, 4, 2 in increasing order.\nAnswer: -298, -1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/45)\/((-34)\/(-153))*10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -9, 5, 0.5, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**3 + 1450*t**2 - 9869*t + 13. Give x(7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5786161*o**3*p**3 - o**2*p + 321651*o**2 - o*p**3 wrt o?\nAnswer: 34716966*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 5. Suppose 3*j - 3*m = -0*m + 18, -4*m = -j + 15. Give d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1 - 2*v)*(-5 - 2 - 14) as z*v + w and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -282090, -564131, -846164, -1128189, -1410206, -1692215, -1974216?\n\"Answer: 4*g**2 - 282053*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276.3 - -276. Let t(l) = l**3 - 4*l**2 + 5*l - 3. Let m be t(3). Which is the closest to m? (a) -5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u**2 + 6*u - 28. Let f be q(3). Suppose -7*t = -2*t - f. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 15*z**2 - 62*z + 146. Let u be o(4). Solve -35*s - u = 107 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*n, 0 = -0*m + m - 3*n + 15. Is ((-6)\/m)\/((-3)\/(-609)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - q + q - 64*q**2 - q**2.\nAnswer: -58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 318 = 3*x, -4*x - 4*r + 428 = -0*x. What is the highest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38530225 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15785 is divided by 5238?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 30 = -2*u. Let n = 2 - u. Let p be (-226)\/(-8) + 2\/n. Solve 0 = 4*q - p + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 753 + 759 = -h, 3*h = -5*w - 8 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74536 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 15)*(4*w**3 - w**3 - 4*w**3 + (0*w - 5*w + 2*w)*(2*w**2 - 3*w + 3*w)).\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z - 15. List the prime factors of b(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 239 = 3*d, -2*u = -u + 3*d + 124. Let r = u + 239. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*v + 640 = -86*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433.4 less than -31?\nAnswer: -4464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9*j = -13*j - 32*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263*3\/15 + (-30)\/(-75) is divided by ((-81)\/(-5 - -2))\/1.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3.549.\nAnswer: 0.3549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -16751*p**4\/12 - 8*p**3\/3 + 7*p**2. Let s be r(-8). Round s to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1686167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 888031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32998*k**2*y**2 + 123*k**2 + 11*k*y**2 + 16409*k - 2*y**2 + 1 wrt k?\nAnswer: 65996*y**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2157)\/(-2) - (-12)\/(-8). Let v be 3\/15 - k\/(-15). What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2023001 (base 4) to base 10\nAnswer: 8897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*p + 3, -2*p + 3*c + c - 6 = 0. Suppose 0 = -4*q + j - 1 + 38, p*j = -15. Solve f = -f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + 3*s + 1. Let d(j) = 4*j**4 + 204*j**3 + 5*j**2 + 15*j - 2486. Let l(z) = 5*c(z) - d(z). Differentiate l(b) wrt b.\nAnswer: -16*b**3 - 627*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*x - 624 = 2482 + 8150. Let c(w) = 42*w - 1. Calculate the remainder when c(2) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 864593830 and -1878.\nAnswer: 864591952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 8*w**2 + 10*w + 1. Let m = 5 + 4. What is the tens digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3026 - 219 - 2567 - 7593)*(1 + 1 - 4)*(-3*r**4 + 3*r**4 + 3*r**5).\nAnswer: 44118*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 2, w: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**2 - 2 - 4*o**2 - 5*o**2 + o**2 wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 8*u**2 - 7*u - 15. Let q be i(9). Let r = 10 - -2. Suppose -5*j + q = -r. Solve j*x = -x + 2*k - 4, 0 = 2*x - 4*k - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/30 + 7*t**4\/24 - t**3 - 21*t**2. Give o(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnen when four letters picked without replacement from nnnnnnnnnneeenn?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/51138 and 49\/409104.\nAnswer: 409104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1556448 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxld when four letters picked without replacement from {x: 2, n: 1, a: 8, d: 6, l: 1}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 50. Suppose 44 = -3*i + 5*d, 0 = 2*i - 4*d + 32. Let r(q) = q**3 + 9*q**2 + 7*q + 6. Calculate the least common multiple of r(i) and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414149\/6 - 137995\/2. What is t in 20\/3 + 82\/3*t**3 - f*t - 8\/3*t**4 - 4*t**2 = 0?\nAnswer: -1, 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -2*c. What are the prime factors of (-793)\/(-13) + (c - 0)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 286593.\nAnswer: 286591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65035, 65034, 65033, 65032, 65031?\nAnswer: 65030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*12*(5\/135)\/(7\/(-21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-182)\/8 + 5). Let h = 75 + r. Suppose h*c = 32 + 4. Solve c*n - 5 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + x - 4. Let p be c(6). Suppose -p*l + 3*l = 19. Suppose l*k = 15*k + 364. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535104089?\nAnswer: 13, 73, 97, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -32*m + 73. Give u(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4127041.\nAnswer: 839, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10622972 by 33617.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -6, -10?\n\"Answer: -4*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -118*s - 1476. What is m(-13)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 + -22.66. Let v = n + 24. Is v equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49167 and 77089.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 - 3*a + 5. Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/18)\/(2\/(-8)). Let x(l) = l. Let s be x(t). What is the third derivative of -v**2 - 3*v**4 + 4*v**2 + 0*v**s wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6830736 and 0.91755?\nAnswer: 6830736.91755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*x - 2131 = 0, 4*j = -330*x + 334*x + 8608. Calculate the highest common divisor of 375 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12929*j**3 + 12943*j**3 + 12908*j**3 - 2 - 38843*j**3 + 2.\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35613, 71108, 106603, 142098?\nAnswer: 177593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -98. Suppose 0 = -30*x + 29*x + q. Suppose x*k + 5*h - 495 = 0, 3*k + 24 - 537 = h. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/6 - 7*d**3\/6 + 7*d**2\/2 - 54*d. Determine f(6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**3 + 2*c**3 - 2*c**3)*(-c + 4*c + 42 - 64 + 78).\nAnswer: 27*c**4 + 504*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -0.34206.\nAnswer: 0.0136824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.1 - 34. Let h = -0.62645869 + -6.27354198. Let p = h - y. Round p to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/60 + u**5\/12 - 5*u**4\/6 + 5*u**3\/6 - 3724*u**2. Calculate s(3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 15. Let h = -27 + 27.5. Let y = 0.1 - 4.1. Which is the nearest to y? (a) h (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158 and 1334.\nAnswer: 105386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 3*k + 11*k - 4*k to the form u + c*k and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9423, 18677, 27931?\nAnswer: 37185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2311*i - 4. Let y(p) be the first derivative of -1155*p**2\/2 + 2*p - 22. Let v(k) = 6*w(k) + 13*y(k). Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + -8 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjllljwjwlwjjjjjjlj. What is prob of sequence wwj?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-25 + 27 - (1 - 23) - 22)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 1)*(2*s - 4 + 2 - s).\nAnswer: -5*s + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -1\/7 (c) 1634 (d) -1\/38 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 14998*p + 165028. Let t be q(-11). Factor 0 - 1\/2*h**4 - t*h**2 + 10*h**3 + 0*h.\nAnswer: -h**2*(h - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59, -84, -107, -128, -147, -164?\n\"Answer: m**2 - 28*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/396 and -10\/31581?\nAnswer: 126324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/2, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 9455\/2287?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g**(3\/4)\/g*(g**8\/g*g)**35)**(-48) assuming g is positive.\nAnswer: g**(-13140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*q - 40, -q + 28415*u = -6*q + 28414*u - 34 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 5:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36156366.\nAnswer: 2, 3, 433, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20125 and 10470750.\nAnswer: 73295250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1788*o + 1804. Give v(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*i - 21, 2*t + 28 = -20*i + 22*i. What is the lowest common multiple of t + 19 - (4 + 1) and ((-4)\/14)\/((-1)\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 3*r + 1459, -3*n - r + 867 = 0. Does 59 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r - 1. Let p be l(6). Suppose -p*u + 12 - 37 = 0. Let i be ((-15)\/u)\/((-6)\/4). Which is bigger: i or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*v + 5*v**2 + 13*v - 2*v**2.\nAnswer: 3*v**2 + 111*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, 33805, 0 in decreasing order.\nAnswer: 33805, 0, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 793307 or 43?\nAnswer: 793307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 45535.\nAnswer: 227675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 108. Let l = -59 + u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 23*h - 129. Give c(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 35. Let u be 0\/(((-5)\/(w\/8))\/(-2)). Suppose f + 3*h + 0*h - 4 = u, -3*h - 20 = -5*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20829 take away -8069396?\nAnswer: 8090225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (21 - -27 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c + 15. Let b(y) = 12*y + 17*y + 4 - 26*y. What is -15*b(o) + 4*h(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 12. What is the biggest value in r, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/11 + (-954)\/(-198). Suppose -b*w + 8*w = 24. Is w <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39159 is divided by 270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2c146b?\nAnswer: -2c1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 4)*((0 + c + 0)*(-1 - 3 + 3) + 45 - 45 + 73*c).\nAnswer: -288*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 16*i - 17*i. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/25)\/((-5511)\/(-1375) + -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -189*d + 547. Calculate x(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 3*h**5\/20 + 2*h**3\/3 + 5*h**2\/2 - 12. Let n(q) be the second derivative of w(q). Differentiate n(f) with respect to f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33462*y**2 - 16910*y?\nAnswer: -66924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*g**2*j**2 + 30603*g*j**2 - 744108*j**2 + 3*j with respect to g.\nAnswer: 62*g*j**2 + 30603*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -335815*p. Let j(h) = -1457*h. Calculate j(r(z)).\nAnswer: 489282455*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 26*i - 1136. Calculate w(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*h**2 + (271 - 271 - 56*h)*(-h - 2*h + h) + 2*h**2 - 2*h + 2*h.\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (116 - 0) + (-25316 - -25310)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317293ng in grams?\nAnswer: 0.000000000317293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((-12)\/2 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*1*(72\/27)\/(-8). What is the closest to -12 in u, 5, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -51 + (3 - 3) + 1. Let k be (-175)\/f*(-12)\/(-7). Solve -k*y - 2 = -32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/3, -40.\nAnswer: -40, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppzz when four letters picked without replacement from zjgzgpgzzppjpugj?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8473 is divided by 443?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t + 2*t, 3*t = -3*k + 681. Let c = k + -123. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*i - 31*i - 27*i - 28*i - 29*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 71 + 881 = -41*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -43. Suppose 12 = s + 2*s. Suppose j - s = -0*j. What is the remainder when j is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154098*u - 154096*u - 62 + 308196*u.\nAnswer: 2*u - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -94*i + 2. Let s(n) be the first derivative of -n**5\/60 + 31*n**2\/2 - 73. Let r(k) be the second derivative of s(k). What is q(r(z))?\nAnswer: 94*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2260 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6836857 months to centuries.\nAnswer: 0.00223640475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/6 - 6\/12. Suppose 0 = -q + y. Solve -2*s = -0*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.73848 micrometers in meters?\nAnswer: 0.00000373848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 27*f - 404. Determine j(0).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 30*l - 1500894 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + a - 4, -4*u + 0*a = -4*a + 16. Let y(d) = d**2 - d + 5. What is the remainder when -2 - 14\/((-3)\/3) is divided by y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose 3 = 2*p - 3. Suppose v - 13 = 5*n, -2*v - n + 2*n - 1 = 0. Sort v, p, i.\nAnswer: v, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 1317. Let h(z) = 2*z + 438. Determine 4*a(f) + 11*h(f).\nAnswer: -2*f - 450","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l - 60 = 48 + 1476 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2523 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 30*d**2 - d. Let k be 1 + (1 - 2) - -3. Suppose 2*l - 4*h + 10 = 4*l, 2*l - k*h = -4. What is the remainder when z(l) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovo when three letters picked without replacement from ooovvov?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(4*(sqrt(119) - (sqrt(119)*-1 + sqrt(119))))\/(5*sqrt(35)\/sqrt(5))*6.\nAnswer: -144*sqrt(17)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose k - 3*c = -0*c + 1, -x*c + 20 = 0. Let a = -8 + k. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-320)\/(-176) - (18\/22 + -1). Suppose -m*d = -8*d - 14*d. Is 14 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09013 + -12?\nAnswer: -11.90987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1102\/20 - (-4)\/10. Let f = 1217\/22 - w. Do f and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7 - (-40)\/14. Let x(w) = w**4 + 3*w**2 - 2*w. Let t(o) = o**4 + 4*o**2 - 3*o. Let p(d) = m*x(d) - 2*t(d). Find the third derivative of p(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 + 4 = 0. Let l be 23 + (-1 - -2) - z. Suppose 5*g + l = q, -4*q = 3*g - 4*g - 16. Solve t - 6 = q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -7*b**6\/3 + 7*b**3\/3 - 14. What is the third derivative of g(k) wrt k?\nAnswer: -840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 + 11*r**2 - 1 - 8*r**2. Suppose 4*n - 5 - 3 = -4*s, -2*s + 2*n = 0. Calculate the remainder when 34 is divided by u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 0 + 3*sqrt(475) - sqrt(475))**2*-5.\nAnswer: -21375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3764926*o - 3764931*o + 7529859*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.76 + -46. Let r = -0.16 + i. Let u = 1.8 + r. Which is the nearest to 1? (a) u (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**5 - 7*b**2 - 215*b**4 + 215*b**4 wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003011405 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -598733, 5 in decreasing order.\nAnswer: 5, 4, -1, -598733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.7, -0.3, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 - 11854*l**2\/3 + 23714*l\/3 - 11858\/3.\nAnswer: -2*(l - 1)**2*(l + 5929)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 33.88+280.09992177\nAnswer: 313.97992177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1664e (base 15) to base 5.\nAnswer: 4303144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3495)\/(-13980))\/((4\/288)\/(-1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15772 or 53.57?\nAnswer: 53.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169685768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: bc (base 14) to base 8\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 3 + 5*v + 4*v**3 - 4*v**3 - v**3. Let m(g) = -g - 1. Let l be m(-4). What is the units digit of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w**4 - 142*w**3 - 414*w**2 - 383*w - 96. Let t(k) = k**3 - k. Let c(f) = -q(f) - t(f). Factor c(b).\nAnswer: 3*(b + 1)*(b + 4)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3)*(-3 - 7*r + 13*r + 2) - 7*r + 0*r + 2*r.\nAnswer: 31*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -11, -5 in descending order.\nAnswer: 7, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/17559 and -18\/21461?\nAnswer: 193149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -2\/7, -7, -1, 766 in descending order.\nAnswer: 766, 0.2, -2\/7, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 + 5*r**2 - 3*r**2)*(-r + 0*r + 0*r)*(-781*r + 1970*r + 1528*r) in the form m*r**2 + s*r**3 + y*r**4 + f*r + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:12 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 - 4. Put k, 1\/20, -0.2 in descending order.\nAnswer: k, 1\/20, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 19688*q**3 + 98592*q**2 + 256232*q + 137956 = 0 for q.\nAnswer: -4927, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 7 = 3*j + 3*n, -4*j = -10*n + 104 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3*8\/24. Let v be (2 + 108\/(-57))*-1. Is o less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -585, 21, 1669, 4881, 10179, 18085, 29121?\n\"Answer: 87*d**3 - d**2 - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1332 and 888.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from awwaaaawwjwcpjpa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*3*(2 + sqrt(162)))**2.\nAnswer: -47808 - 10368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -6*(sqrt(700)*1*-3 + 4 + sqrt(700) + 0)*-5)*-6)**2.\nAnswer: -5227200*sqrt(7) + 91247076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -786? (a) -1\/8 (b) -134 (c) -1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 10, 3 in ascending order.\nAnswer: -12, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 431*a**7\/105 + 818*a**3\/3 + 3*a**2 - 53*a. Find the first derivative of c(w) wrt w.\nAnswer: 3448*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 318*c**3 - 1993 + 401*c**3 + 119*c**3 - 267*c**3 + 369*c**3 wrt c?\nAnswer: 2820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**8\/2688 + l**7\/1680 + l**6\/320 - l**5\/96 + l**4\/96 - 19*l**2. Let u(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.38 (b) -4 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -149, 688, 4?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597660379.\nAnswer: 2411, 247889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b*b\/b**(1\/39)))*b*b)\/(b\/(b*(b**15*b)\/b)))\/((b*b**11*b)\/b)**(-21) assuming b is positive.\nAnswer: b**(10607\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3 (b) -15 (c) 2 (d) 0 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 2097*o**2 - 88237*o\/3 - 69355.\nAnswer: (o - 6305)*(o + 3)*(o + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o**2 + 11 - 11 + (o - 3 + 3)*(0*o + o + o) + 34 - 34 - 22*o**2 to i + j*o + u*o**2 and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103207286?\nAnswer: 2, 7, 13, 181, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from cuhhcppucc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 674520467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 - 22*v - 22. Let p be x(9). Does 18 divide (p - 16)*(-39)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:44 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1620 divided by 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u**(-8))\/(u*u**(-2\/7))**9 assuming u is positive.\nAnswer: u**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*sqrt(72)\/sqrt(3))\/sqrt(2))\/(-1*((sqrt(4) + (sqrt(4) - (-2*sqrt(4) - sqrt(4))))*5 - sqrt(4))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:36 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.05.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 695148.\nAnswer: 13207812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 15, -4*y + 2*t - 22 = 8. Which is bigger: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - j**4\/12 + j**3\/6 - 24*j**2. Determine l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -42?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31734 - -64131. What are the prime factors of f?\nAnswer: 3, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 35156017*w. Let y(v) = 2*v. Determine l(y(i)).\nAnswer: 70312034*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -67125405660.\nAnswer: -67125405661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561*l + 0 - 7 + 7.\nAnswer: -1561*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 41 + 4. Suppose 2*m = k*o + 373, 11*m + 4*o = 9*m + 382. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 88. List the prime factors of z*((-100)\/8)\/(-5).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1761683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 587*i + 7. Let r(p) = -3*p - 3. Calculate -b(h) - r(h).\nAnswer: -584*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1519\/868)\/(1\/10)*(-2)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -15601?\nAnswer: -15610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1341, -1931, -3531, -6645, -11777, -19431?\n\"Answer: -84*t**3 - t**2 + t - 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*x + 208*x - 8661000. What is x rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-4)\/4) + -4. Suppose -30 = -6*c + s*c. Solve 26 + 4*p - 14 - c + 2*p**2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -7. Let g = -1132 + 1902. Suppose 19*a = 8*a + g. What is the highest common divisor of s and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v - 1. Let c(p) = -2*p. What is c(x(z))?\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 7, h: 1, e: 6}. What is prob of sequence hy?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.3, 166, 0.7, 127?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-28)*-39*40\/(-19500).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.5476457 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3 + 0*p**2 + p - 2 - p**2 - p**3. Suppose 0 = 7*a - 6*a - 4. Let x(g) = -4*g + a*g**2 - 4 + 0*g - 5*g**3 + 2*g**3 + 5*g**3. Give -x(n) - 4*z(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 688133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and -121123.272609.\nAnswer: -121138.272609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32133086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 + 14*i + 10. What is n(-9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3996 - 3993. Solve 8 = 4*l, 5*v + 7*l = b*l + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/(-3)*(-1)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 16. Let d be 4\/(-16) - 63\/4. Let q be c(d). Solve 4*i + 5*u + 9 = q, 2*i - 3*u = 5*i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)*u**(-2\/3))**29\/((u**4\/u**4)\/(u**5*u**(-6))) assuming u is positive.\nAnswer: u**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.87033 + -0.01967. Let x = d + 0.89. Let f = x + 63.9. Is -1\/54 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 + -245. Let j = m - 115. What is the biggest value in j, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 27 = 5*f, -3*f + g + 31 - 12 = 0. Suppose 0*p + f = 3*p. Solve -6*u + 4*u - 18 = -2*y, -y + 13 = -p*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - -1) - (-123 - -116)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 914*u**2 + 2*u - 2. Let f = 131 + -128. Let i be a(f). Round i to the nearest one hundred.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2 - -5*132\/210?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a + a. Suppose -13 = a*n - 2*n. Let u = n + 21. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let c(z) = 7*z + 4. Let u(w) = c(w) - 2*g(w). What is the remainder when u(5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + 4\/2)\/(23034\/1396)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 - 5 - -12 - 6 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 18. Let p be x(-15). Let g = 14 - p. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let b(u) = u**2 + 8*u + 3. Let m be b(-8). Let t be 8\/(-3)*m\/(-4). Put t, -4, g in increasing order.\nAnswer: -4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/48 at most as big as 591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1300)\/(-585) - 49\/(-63). Find l, given that -12\/7*l**2 - 2\/7*l**h - 18\/7*l - 8\/7 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-28)\/(-98) - (1420\/(-28) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 16*j + 2*j**4 - 6*j**2 + 21*j - 36*j in the form y*j**3 + s*j**4 + x*j**2 + n*j + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**4 - 3*c**3 + 12*c**2 + 3*c - 15. Let o(b) = -2*b**4 + 2*b**3 - 6*b**2 - 2*b + 8. Let g(i) = -7*o(i) - 4*s(i). Factor g(t).\nAnswer: 2*(t - 2)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*v - 115, -2*v + 2*f + 7068 - 6926 = 0. Solve -35*c + 114*c - v*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270059 or -270073?\nAnswer: -270073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 42. Let j be n(-9). Suppose -2*y - d - j = -3*y, 3*d + 41 = y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1719 = 5*f - t, 0 = 4*f - 3*t - 1233 - 151. Let s = f + -840. Is s > -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7351384 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 2*d + 1. Let n(f) = -5*f**2 + 1702*f - 6. Give -n(o) - 3*x(o).\nAnswer: -o**2 - 1708*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1900099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-96) + 8\/6. Put p, 5, -225 in descending order.\nAnswer: 5, p, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81, -102, -165, -294, -513?\n\"Answer: -4*l**3 + 3*l**2 - 2*l - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vkcvkvkxxkxxxkx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 + 3) - -7. Let g(z) = z**2 - 5*z - 1. Let k be g(u). Find the second derivative of -x**3 - 4*x + k*x - x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 833547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.5 (b) -1\/4 (c) -1 (d) 0.545 (e) -1\/3 (f) 0.2 (g) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*l + i, 20*l - 5*l - 2*i = 87 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*r + 5, -2*b - 572*r + 576*r - 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-35 - -47 - (-4 + 13 + 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prupupprpppuupu. What is prob of picking 1 r and 2 p?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:07 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.93\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0*q - 91*q - 19 - 629*q. Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -484 + 463. Let z = -16 - -13. What is the smallest value in 0.4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*4*(1*(-2 + sqrt(343) + sqrt(343)) + (-2 + sqrt(343) + 3)**2 + sqrt(343)).\nAnswer: 280*sqrt(7) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 547 - -46857?\nAnswer: 47404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 572960?\nAnswer: 2291840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(17)*-1 + sqrt(17)) + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:08 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, -2\/3, -3, -348 in decreasing order.\nAnswer: 5, 1\/4, -2\/3, -3, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 5*m - 3. Let z be -2*((-16)\/(-10))\/((-2)\/5). Let q(s) = 3*s**3 + 11*s**2 - 14*s - 8. Calculate z*t(x) - 3*q(x).\nAnswer: -x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 8*o + 6. Let c be k(-8). Let b be (c\/4 - 2)*-2. What is the units digit of b\/(-4) + (-87)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 197. Suppose -3*z + 21 = 0, -65*w + 4*z - 504 = -61*w. Let g = h - w. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7))\/(c**4*c)*(c**0\/c*c)**(-41))**(2\/47) assuming c is positive.\nAnswer: c**(-60\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*l - 391*l - 268*l + 1033*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35063444 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:23 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 16745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g - 3 + 43*g + 47*g - 184*g + 4*g + 45*g.\nAnswer: 6*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516455383?\nAnswer: 1601, 322583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105464?\nAnswer: 2, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 25*k + 137. Determine x(-6).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 48 = -4*h. Suppose -13*i + h*i + 60 = 0. Is (-37)\/(-3) + 4\/i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9431 - -9433. Let q be -1 - 0 - 1143\/(-15). Let n = -75 + q. Which is the closest to n? (a) -2 (b) 2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqyyyqqyqqyqqykyqq. Give prob of picking 3 q.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96566 - 64836. Round m to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*i - 194, 3*u + 116 = 6*u - 2*i. Let k = u - 18. Suppose -4*h - 59 + k = -s, -141 = -5*s + 2*h. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zqzzzzqzzzzz?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*6 + sqrt(68) + 0.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -495*p - 407. Let v(y) = 16*y + 13. Give -6*u(b) - 187*v(b).\nAnswer: -22*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((((v*v\/(v*v*v*v**(-19)*v))\/v)\/v)\/v))\/v*v*v*v*(v*(v*v**(1\/40))\/v)\/v)\/(v**10)**31 assuming v is positive.\nAnswer: v**(-12839\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88 - 2d?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 8. Suppose -v*g + 15 = g. Solve g*p = -1 - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128.1 + 128.6032. Round v to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.955 plus -49922?\nAnswer: -49922.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*z**2 + 485*c*z + 293169*c + 4*z**2 - 2*z wrt z.\nAnswer: 4*c*z + 485*c + 8*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, f: 2, a: 1, s: 4}. What is prob of sequence hh?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12531080 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = 42. Let m(g) = -g - 10. Let d be m(j). Is -1\/2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - y. Let l be n(-1). Suppose 0*f = -5*f - l*a + 11, -3*a = f. Suppose 40 = m - f. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 3*u + 0*u - 231 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 times 4?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4038020 times -146?\nAnswer: -589550920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 10 + 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2018172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*25128\/31410.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*k + 9, -3*k + 3*t = 4*t - 9. Find the third derivative of -6*i**2 - 2*i**k + 3*i**3 + 3*i**3 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -11558, -5.\nAnswer: -11558, -5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 27\/85, 0.5, 0.1, 2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-356)\/(-712)*(-2)\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i + 14. Determine d(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 53 = -11*k + 15*k, r - 4*k - 21 = 0. Put 1, 4, r, -3 in ascending order.\nAnswer: -3, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and (-150)\/8*(-80)\/(-216).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/16493688 and -49\/6648.\nAnswer: 16493688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (-33 - -40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-47))\/((-27)\/(-162)*-6))\/((-2)\/(-2))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 11*d - 4. Let v be i(4). Let n = v - 57. Let j(l) = 159*l**2 + 4*l - 1. Does 29 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 171 - 74*q + 168 - 94*q to w*q + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-130)*(-18)\/243*(-230)\/(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*n**4 + 2*n + 103?\nAnswer: 3504*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -4 + (-32 - -36). Calculate the greatest common divisor of 386 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/6 - 23*s\/3 + 529\/6 = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 92. Determine s(11).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/24 or 0?\nAnswer: -11\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 20*z + 13. Let l be (-91)\/(-21) - (-2)\/3. Suppose 4*f + 2 - 20 = -l*b, -b - 3*f + 8 = 0. Solve b*v - z = -11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11 + 412*m**2 + 12*m + 0 - 411*m**2. Calculate t(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42) + (-156)\/182?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -117499*c + 4. Suppose o - 4*o = 15. Let p = o - -1. Let q be i(p). What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1023 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 29*g**2 + 29*g**2)*(-207*g - 252*g + 414*g).\nAnswer: 180*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from egsggwggsqseeegggese.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2619 or -2122?\nAnswer: 2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {e: 1, o: 1, g: 7, k: 2, c: 5, i: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28250981*r + 28250981*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 75*x**2 - 270*x = 0?\nAnswer: -3, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/18917 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 - 495*h**4 + 18009*h**3 - 188853*h**2.\nAnswer: 3*h**2*(h - 119)*(h - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3*y**7\/7 - 2*y**3\/3 - 2. Find the third derivative of u(p) wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -593\/8 - -74. Let v = -1.215 - -0.015. What is the third smallest value in g, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550 divided by 199491\nAnswer: -550\/199491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 - 18*d**2. Let b be x(9). Suppose b = c - f - 1, 5*c + 2*f - 29 = f. Solve c*g + 4*l - 19 = -1, -2*g + 12 = 4*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f - 41*f + 226*f**2 + 181*f - 50*f + 187*f**2.\nAnswer: 413*f**2 + 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -59.233087 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 25 = 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28 and (-15)\/10 - 14\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1171*w + 6237*w + 7972*w + 1166*w to the form s + k*w and give k.\nAnswer: 14204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(48\/18) + 3. Let g(k) be the third derivative of 1\/20*k**5 + 0*k**6 + 0 + m*k**3 - 2*k**2 + 0*k**4 + 0*k - 1\/70*k**7. Factor g(t).\nAnswer: -3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 5*b. Let o be q(-6). Suppose s = o*s - 10. Sort 3, s, -4 in increasing order.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-12)*(-6)\/9.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 24 = i, -25 = -7*a + 2*a. Suppose -5*s = 3*f - 0*s + 50, 0 = -3*f - s - 34. What is the remainder when i is divided by (-576)\/(-40) - (-4)\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2460014272 to the nearest integer?\nAnswer: 49599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000706 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 10728399?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-52))\/(3\/5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42+-3606\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 17*p**2 - 15*p**2.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, c: 2, t: 6}. What is prob of sequence ctt?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -3\/2*v**2 + 0*v**5 + 158*v + 0 + 0*v**3 + 43\/10*v**6 - v**4. What is the third derivative of t(w) wrt w?\nAnswer: 3096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 108. Calculate the remainder when 52 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 0.5, -1.3, -4 in decreasing order.\nAnswer: 0.5, 0.3, -1.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3756028078076+0.2\nAnswer: -3756028078075.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(6\/2) + 3. Suppose -2*g - 5*w + 16 = 0, 2*w = 5*g - 3*w - 40. Suppose -9*k + 16*k**2 + k - g*k - 4*k**b = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = f + f - 4, 0 = f - 5*q - 9. Suppose -2*u = -10, 0 = -n - 3*u + f*u - 2. Suppose 5*g = n*g. Solve g = -x - 1 + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (0 + 1)*0. Suppose -10 = -0*z - 5*z. Suppose -73 = -k*q + z. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260 + 74 - 301)*(3*o**4 - 4*o**4 + 10*o**4).\nAnswer: -4383*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-10)\/(-6))*6. Suppose b*y - 53 = 59. Calculate the remainder when y is divided by (-6)\/21 - (-216)\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -155, -308, -523, -800, -1139?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412184309 to the nearest integer?\nAnswer: 20302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -135 (c) 6\/587 (d) -2 (e) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.67, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 40*v - 461. Determine m(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 60090336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11490?\nAnswer: 2, 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26904865?\nAnswer: 5, 13, 83, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 + 2*t - 1. Let k be b(1). Suppose 3*g - 16 = -4*a, 42*g - 37*g = 0. Solve -k - 4 = a*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 14*d + 37. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -368 in 10, 185, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -658, -4 in increasing order.\nAnswer: -658, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/4)\/(4\/8). Suppose -f = -o + 105, -l*o + o + 375 = 5*f. Suppose -4*s + 8 = -o. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58918.\nAnswer: 2, 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 23140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uho. Give prob of picking 1 o and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -28416914 > -28416915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 1308464.\nAnswer: -73\/1308464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.75 + 3.7. What is the biggest value in r, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = 3*y + 6, 2*y - 14 = -5*o. Suppose o*k = -2*k - 8. Suppose 3*p = a - 3, -p + 2*a = -3 + 9. Sort 1, p, k in descending order.\nAnswer: 1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*s**2\/3 + 205*s\/3 - 10.\nAnswer: -5*(s - 3)*(13*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/24 + a**5\/15 - 79*a**4\/24 - 2385*a**3\/2 - 6957*a**2. What is the derivative of d(h) wrt h?\nAnswer: -15*h**2 + 8*h - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 22. Suppose k = 3*b + 1 + 2, -4*z - 4*b = -3280. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 12 + 138*d**3 - 418*d**3 + 2*d**4 - 2*d**2 + 143*d**3 + 135*d**3 to the form k + u*d + j*d**3 + g*d**2 + w*d**4 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*d + 9 + 1 = 0, -1 = 3*s + 2*d. Suppose 2*h = z + 2*z - 7, 5*h - 8 = -z. What is the remainder when (-15)\/(-2) + s\/2 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 71 = -69. Factor 0*k + q*k**3 + 1\/2*k**2 + 0.\nAnswer: k**2*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, c: 4, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*n**2 + 0*n + 36*n**2 + 0*n.\nAnswer: -221*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 376.\nAnswer: 22.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 2 - 4*w**2 + w + 7*w**2 - w**2 - w**4 as h*w**2 + i*w**3 + x*w + m + d*w**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -900839.99923 - -900934. Let t = 94 - y. What is t rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -44892542\nAnswer: -2\/22446271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(5 + sqrt(832))*2*2)**2*3.\nAnswer: 132480*sqrt(13) + 1477371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3865 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: Simplify ((t\/((t*t**(-3))\/t))\/(t\/(t*t**(2\/7))*t*t))**(-2\/85) assuming t is positive.\nAnswer: t**(-32\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 14. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/271 + 15443\/542. Factor -9\/2*n**5 + 2 + 39\/2*n**4 - 67\/2*n**3 + f*n**2 - 12*n.\nAnswer: -(n - 1)**3*(3*n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129901165.\nAnswer: 5, 17, 89897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g + 53. Suppose 3*z + 27 = -3*q, 3*q + 9 = 5*z + 30. Let f be m(z). Put 2, -20, f in decreasing order.\nAnswer: f, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 36*k = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2430293 millilitres?\nAnswer: 0.0002430293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18131*r - 54200. What is a(3)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s + 1. Let g(i) = i**2 - 7*i + 8. Let k(h) = g(h) - 6*y(h). Let x be k(3). Let j = 130 - x. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-3 - (-2 + 0)). Let t = -5.1 + 5. Do n and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2561 and 2364?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. Let n be (2\/g)\/(2\/12). Let w be 2 - -10 - (1 - n). Solve -3*h + 0*q = q + w, 3*h + 15 = -5*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1229 divided by 32220\nAnswer: 1229\/32220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000142452 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(91)\/sqrt(7) - ((sqrt(13) - (sqrt(13) - (sqrt(1300) + -5 + sqrt(1300) + sqrt(1300)))) + -4))**2.\nAnswer: -180*sqrt(13) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p\/(p*p**0\/p*p)))**(1\/24)\/(p*p**(-2\/5)\/p*p)**(-39))\/((p\/p**1)\/p*p**6\/p*p**(-3\/8)\/p**(-3\/7)) assuming p is positive.\nAnswer: p**(1363\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(4\/3)\/o))\/((o**(1\/3)*o)\/o))\/(o\/(o**(2\/3)\/o))**(-2\/5))**(-22) assuming o is positive.\nAnswer: o**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 58861671\/(-550319) - (-321)\/3\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212100 (base 3) to base 12.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3\/7 + 43*b**2\/7 - 59*b\/7 + 12\/7 = 0.\nAnswer: -12, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3851 = 25*b - 34649. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 + 11*g + 6. Let r(s) = -19*s**3 + 23*s + 13. Let n(q) = 13*h(q) - 6*r(q). Let i(p) = -5*p**3 + 7*p. Calculate -5*i(k) + 7*n(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 1}. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/(-72)*-82)\/((-6)\/60).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*x + 4*s - 24 = 0, -x + 2*s - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(9\/(-6)*-1). Suppose 4*u + q*o = 4*o - 116, 6 = 3*o. Let p = -15 - u. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13768453 + -4?\nAnswer: 1376844a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23456?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 - 3011 - 7182 = -889*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2598*o + 507993. Give g(213).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 11*q = -4010. Suppose -10*s = -14008 - q. List the prime factors of s.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 + 87\/18. Suppose 2*k + g - o*g = 46, -k - 2*g = -7. Suppose z + 3 = 11. What is the remainder when k is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z + 7. Let c be o(-6). Suppose 168 + 28 = 2*i - 4*s, 0 = -3*i - 2*s + 270. Let t = i - c. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 2, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**4 + 3*z**3 + 13*z + 3. Let n(r) = 25*r**4 + 13*r**3 + 53*r + 13. Let o(v) = -6*n(v) + 26*y(v). What is the second derivative of o(a) wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*b = -301*b + 32. Sort b, -1, -26.\nAnswer: -26, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28\/3 (b) -1\/3 (c) -3\/4 (d) -1 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, j: 5, g: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/65, -2\/9, 0, 3 in decreasing order.\nAnswer: 3, 2\/65, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = -3*v + 5*l, -3*l - 7 = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 126\/36 + (6\/(-4) - 0). Let x = 1.6 - 1.5. What is the nearest to n in -3\/4, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2, 0*t + 5*n = 3*t + 17. Let w = -5 - t. Solve -u + w*u - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90002456*j**4 + 52189537.\nAnswer: 360009824*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:46 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 781031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 5*o - 184. Let w = 526 - 517. Suppose 14*m - o = w*m. What is the smallest common multiple of m and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 215.3746 and 0.323596502.\nAnswer: 215.698196502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79581 and 153?\nAnswer: 4058631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 156. Let w = p - -280. Suppose -2*l - 275 = -3*i, -i + l = i - w. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1672224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 8*q - 3. Let n(c) = 11*c**2 + 26*c - 9. Let l(d) = 7*m(d) - 2*n(d). Give l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-6*-5*(-1 + sqrt(117)) + -2)*2)**2.\nAnswer: -829440*sqrt(13) + 15310656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 34*v - 156. Let k be n(-28). Let h(w) be the second derivative of -1\/8*w**3 + 1\/12*w**4 + 0 + 0*w**2 - 1\/80*w**5 - k*w. Factor h(q).\nAnswer: -q*(q - 3)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 6*q - 4. Let t be l(4). Suppose 4*a = 5*a + 5*v + t, v = -2*a + 37. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014310131 - 214?\nAnswer: 3014304412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2943, 5883, 8823, 11763, 14703, 17643?\nAnswer: 20583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199309, -199340, -199391, -199462, -199553?\n\"Answer: -10*y**2 - y - 199298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 38 = 3*d - d, -3*h - 5*d = -48. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 272*l**3 + 6*l**2 + 42. Let y(b) = -22578*b**3 - 497*b**2 - 3479. What is -497*h(f) - 6*y(f)?\nAnswer: 284*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 4 - a + 15 + 0*a to p + z*a and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let c(t) = 1 + 4 - 3 + t. Let m(k) = -2*c(k) + 10*l(k). Differentiate m(g) with respect to g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rjrjjjjrrrjr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 2. Let c(s) = 2*s - 2. What is -6*c(m) + 7*n(m)?\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973\/6 + (-935)\/(-1122) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.2 + -24.18. Let v = i - 0.02. What is the nearest to 2\/3 in 0.1, 2, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncc when four letters picked without replacement from {c: 4, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431647 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12.30562 times -2\nAnswer: -24.61124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*q = -624*q + 2050. Let r be (-6)\/(-1*3) - -48. Let w be r\/((-1)\/(2\/(-1))). What is the greatest common divisor of w and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.39277 and 3.413881.\nAnswer: 28.806651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = 126*i - 3465. Let x(j) = 2*j**2 + 4*j - 1. Let u be x(-3). Calculate the greatest common factor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, -3, -0.08, 1\/6 in descending order.\nAnswer: 1\/6, -0.08, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 66491.\nAnswer: 1\/66491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) 1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1227885 by 81859.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40945*d**4 + 3*d**3 + 6*d**2 + 60580.\nAnswer: -982680*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - (2 + 4*sqrt(19))).\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 6) in base 8?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 55, 71, 107, 169?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22036 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 63 + h**2 - h**2 - 2*h + 42 - 651*h**3.\nAnswer: -651*h**3 - 2*h - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y - 3*y + 4*y**4 - 2*y**4 - 6*y**4 + (y - 4 + 4)*(-4*y**3 + 2*y**3 + y**3) - y**4 + 2*y**4 + 0*y**4.\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.004 in -533, 2, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auqquaoaqqqququaaopa. Give prob of sequence oa.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129195519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 0*d - 2\/11*d**3 + 0*d**2 - 1\/22*d**4 - 10. Solve l(i) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and ((-372)\/40 - -3)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2. Let x(b) be the second derivative of 0*b**3 + 2*b + 0*b**2 + 0 + 1\/12*b**4. What is x(s(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdkdd. What is prob of sequence kkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - g)*(12*g**3 + 9*g**3 - 11*g**3).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 20*p + 76. Let w = p + 192\/5. Let v be 0 - -2*4\/32. Which is the closest to v? (a) w (b) -4\/7 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-124)\/1550*((-30)\/(-9))\/(8\/(-114))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6832582, 13665164, 20497746?\n\"Answer: 6832582*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*h + 1 + 0 + 0.\nAnswer: -83*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-2*((-12)\/2)\/(-60)). Suppose -k + u = -22. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3918494878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -633\/4 + 159. What is the nearest to 0.2 in a, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139728 = 28*m + 13*m. Does 55 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67693360 divided by 124208\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121.8 - 120.937. Let z = h - 0.463. Let l be (-2)\/((-2 + 1)*7). Which is the second biggest value? (a) z (b) -3 (c) -0.1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 26. Let f be (-243)\/18 - (12\/(-8) - -1). What is r(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-42) + (48\/21)\/4. Let h = -26 - -29. What is the smallest value in 0.1, y, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 7935513.\nAnswer: -21\/2645171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t - 1346 + 3138 + 5676 = 1168 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:09 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 218986 and 20.\nAnswer: 2189860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 6. Let f = -57 - -86. Let o = f - 17. What is the remainder when q is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2266, -3964, 4 in ascending order.\nAnswer: -3964, -2266, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 33*m**2 - 6 - 11*m**2.\nAnswer: 22*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75855 - 12\nAnswer: 75843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4868 divided by 11194\nAnswer: 2434\/5597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87275 divided by -17455.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848976 is divided by 227.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5 - 2 + 1 + 7 - 3*x**2. Determine q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 - (-28 + (8 - -43))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x**3 - x**2 + 3*x + 1. Let g be w(-2). Suppose -5*j + 71 = 6. Calculate the greatest common factor of j and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v + 5. Let i(n) = 5*n**2 + n - 1. Let r be i(v). Suppose -4*p + 9 = -3*s, r*p + 5*s - 5 = -20. Solve -3*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 - 6*c + 2. Let n(x) = 8*x**2 - 7*x + 2. Let d be 8\/((-24)\/12*1). Determine d*g(k) + 3*n(k).\nAnswer: -8*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4126 + -4126. Which is the smallest value? (a) 0.5 (b) i (c) 2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107395 is divided by 2829?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -45. Suppose 5*w + s = -3*r, 3*w = 8*w - 15. Let a be 40 - 8\/(-12)*r. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2057547, -2057545, -2057543?\nAnswer: -2057541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 6*w - 11. Let i(r) = -2*r**3 - 2*r**2 - r - 2. Let n be i(-2). Let b be o(n). Solve -2*v - 3*v = -b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 36. Let a be r(-13). Suppose 9*t = a*t - 50. Calculate the remainder when t is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8244, 16482, 24720?\n\"Answer: 8238*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1140470, 1140478, 1140486, 1140494?\n\"Answer: 8*y + 1140462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is -0.1 plus -23803?\nAnswer: -23803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 9. Let k be q(-3). Solve -l + 3*h = -1, 3*l + 4*h - 3 = -k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210053?\nAnswer: 210053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46151?\nAnswer: 7, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505 minus -1133?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 + l**3\/6 + l**2. Give x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58386553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 908.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-365)\/110 + (-20)\/110)*104\/(-70). Factor 96\/5*n + 2\/5*n**3 - 72\/5 - y*n**2.\nAnswer: 2*(n - 6)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 3. Let b(t) = 5*t - 11. Calculate -6*b(a) + 22*z(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q + 4. Suppose -5*s - 2*h + 6 = 0, -2*s + 0*h = h - 3. Calculate p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**3\/3 + 5*o**2\/2 + 7*o + 5. What are the prime factors of x(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26143?\nAnswer: 13, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 879*d**3 - 53*d**2 + 165*d - 17. Is b(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 32\/(-7))\/(-5 - (-111)\/21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5113500 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 2*m**4)*(0 + 0 + 5) + (2*m**2 + m**3 - 2*m**2)*(3*m - 2*m - 3*m) - 3*m**4 + m**4 + 0*m**4.\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + 1 + -3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18420 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (3 - 2))*2. Let v(d) = -d**3 - 4*d**2 - d - 3. Let g be v(-4). Let n = g - h. Solve -w = -2 - n, -2*t + 12 = 2*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-554)\/13573)\/((-6)\/(-1)*(-12)\/(-17682)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20.2 * 3\nAnswer: 60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/15)\/(11\/((-550)\/30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + 18 = 5*k, 0 = -5*k - 2*f + 6. Suppose 2*i = k + 2. Solve -i*n - 16 = 3*v, -3*v - n = -v + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131344405 a multiple of 1745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/(o*o*o**(-5)))\/(o\/(o**(1\/3)*o))**24*o**(-5)*o*o**0\/o*(o\/o**(-1))**(-2) assuming o is positive.\nAnswer: o**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42907.\nAnswer: 107, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -429, -637?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10455 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27950*v**3 + 13750*v**3 + 3*v + 14256*v**3 - 3*v.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1064, -2127, -3190?\n\"Answer: -1063*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47396387 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14594380 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319520146 divided by 14523643.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(-2 + -5*(sqrt(1216) + 0) + (sqrt(1216) + sqrt(1216) + 1*sqrt(1216) + sqrt(1216))*1))**2.\nAnswer: 4608*sqrt(19) + 175680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23872217 to four decimal places.\nAnswer: -0.2387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7 - a**2 + 4*a + 14 + 15 - 54 + 6. Calculate d(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*v + 5. Suppose v*h - 707 = -3*h. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 774.6 + -774.65269. What is r rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzvzefzftzffezevfz. What is prob of picking 1 e and 1 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 - 22*h + 48 = 0. What is h?\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o - 12. Let p(k) = 58*k - 27. Let g(x) = 4*p(x) - 9*w(x). Let u(j) = -33*j**2. Determine u(g(y)).\nAnswer: -103488*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (-7479)\/(-270))*20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12002?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 14}. Give prob of sequence pq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + (-7 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)\/o)\/(o**1\/o))**(-28\/3) assuming o is positive.\nAnswer: o**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 3. Let y be t(-5). Suppose -l + 5 = -4*v, -3*l + 10 + 5 = 2*v. Let i = l - y. Let j(k) = k**2 - k - 4. Calculate j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*s. Suppose -444 = -s*v - 87. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -5, -3, -22 in descending order.\nAnswer: 2, -3, -5, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 8 - n + n. Let g(l) = l**2 - 3. Let p(k) = -3*d(k) - 8*g(k). Let u(o) = 103*o - 40*o - 62*o. Give u(p(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10 + 23 + 24*g - 42. What is the remainder when v(2) is divided by 12 + -2 + 0\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3\/2)\/((-2)\/(-8)). Suppose 188 = x*q + 70. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1) + 27\/3. Suppose -3*x + r = -7*x. Is ((-20)\/(-30))\/(x\/(-255)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - 2 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 6, 0.0553, -0.05?\nAnswer: 0.0553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8843 + 10064. What are the prime factors of u?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 7*j - 27. Let m(t) = -2*t**2 + 4*t + 4 - 1 + 3*t**2. Calculate the remainder when a(3) is divided by m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f**2*f)))**(2\/137)*(f*f**(-14)*f)\/f**0 assuming f is positive.\nAnswer: f**(-1636\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyycyc.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g = 43*g - 55. Solve -5*s + 5*h + 16 = 3*h, -2*s + g*h - 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240*h**4*j - 50*h**4 + 4496*j + 10 wrt h?\nAnswer: 960*h**3*j - 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from vxnxvvkbxbvbvvbg?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13728 and 1125050784.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - r**2 - 3*r**2 + 7*r**2 + 8*r to the form b*r**2 + f*r + c and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151865?\nAnswer: 5, 7, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 3420*i + 50175 = 0. Calculate i.\nAnswer: 15, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 3\/3 + 228. Let y = -2463 + 2470. Is (y - r*-15)\/(2\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 81, 82, 85?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-822)\/(-80))\/(594\/(-792)) - 9\/30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31747?\nAnswer: 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*a + 321876635 = -611923357, -5*a = -3*v + 560280010. Suppose 0*u - v = 23*u. Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1 (c) -6128899\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -632445667\/962 - -657428. What is the common denominator of 95\/182 and j?\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18222197 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*h**4*o**2 + 2*h**3*o**2 - h*o**2 - 53*h*o + 2*h wrt h.\nAnswer: 648*h**2*o**2 + 12*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2*s**3 + 2*r**2*s**2 - 2*r**2*s + 8*r*s**3 - 12*s**3 - 670*s**2 + 3 wrt s.\nAnswer: 12*r**2 + 48*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11544\/3108)\/((-2)\/(-7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11848464 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: Factor -2*q**2\/7 - 212676*q\/7 + 425360\/7.\nAnswer: -2*(q - 2)*(q + 106340)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2438\/(-159))\/46*(-11)\/(-1)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0 - 5*m - 2 + 3*m + m. Let t be w(-5). Suppose -261 = -t*i - 0*i. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2684 = -3*w, -7*w + 2684 = 2*x - 9*w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33017788?\nAnswer: 2, 23, 191, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 + 73*a**3\/3 - 58*a**2 + 9*a = 0.\nAnswer: 0, 1\/6, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, 5, 0, 1521 in decreasing order.\nAnswer: 1521, 5, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6896238.\nAnswer: 2, 3, 1149373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -1983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 2*m**2 - 2*m + 34*m**3 - m as f*m**3 + y*m + x*m**2 + c and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 965\/3, -4, 2\/5.\nAnswer: -4, -3, 2\/5, 965\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -854 - -325?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 6*k - 25. What is the remainder when -3 - -1 - (-9)\/6*74 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9409?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 276 = -0*l. Let b = l - -104. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000197059 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 150713?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 9, 13*m - 16*m + 3213 = -b. Suppose 9*n - 64 = m. What is the highest common divisor of 84 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 438 = -3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose 4*j = -0*v + q*v - 98, 3*v = -3*j + 138. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(2\/9)*t)**(-35)*t**(-3\/8)\/(t\/(t\/(t*(t*t\/(t**3\/t))\/t))))\/(((t\/(t\/(t**(-2)*t)*t))\/(t\/t**(1\/12)))\/((t**5*t)\/t**(1\/7))) assuming t is positive.\nAnswer: t**(-62407\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11514, 23257, 34998, 46737, 58474, 70209?\nAnswer: 81942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2\/5 + 656394*w\/5 - 656391\/5 = 0.\nAnswer: 1, 218797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18223 = -3*w + 63498, 60405 = 4*w - 5*d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (145 - (-4 - -3)) + 0. Let p = k + -711\/5. What is the common denominator of p and 62\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 5 + 5)*(1 - 9 - 3*v + 9) - v**2 + 3*v**2 - 3*v**2.\nAnswer: 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.7487 centuries in years?\nAnswer: 80074.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 11*m**2 - 6*m. Let f be c(10). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.663339mm?\nAnswer: 0.003663339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178\/3 + 59. Which is the nearest to f? (a) -1\/5 (b) -2\/11 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 373*p - 377*p + 2, 4*n - p + 11 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 3, q: 4, i: 1, z: 3, m: 1}. Give prob of picking 1 c, 1 m, 1 z, and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(17) + 1 + (sqrt(17) - sqrt(102)\/sqrt(6)))*5 + 2)**2.\nAnswer: 1680*sqrt(17) + 16088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -35, -30, -23, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -44. Calculate the highest common factor of 36 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -93. Suppose 0 = -50*m + 58*m + r. Let s = -272\/1143 + 2\/127. Are m and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.1257687 minutes in weeks?\nAnswer: 0.003583905625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 2*v**5 - 9*v**5 + (0 + 0 + 2*v**3)*(2*v**2 + 0*v**2 - 4*v**2) + v**2 - v**5 - v**2 + 2*v**5 - 2*v**5 + v**5 + 2*v**5 + v**5 - 2*v**5.\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 - (-14)\/4. Suppose -w*s = -5*s - 20. Let j = s + 17. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36.367, 1\/6, -0.0732 in decreasing order.\nAnswer: 1\/6, -0.0732, -36.367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c - 2\/9*c**3 + 73 - 2\/3*c**2. Find t, given that p(t) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1539, -2, 4, 25, 5, -5 in increasing order.\nAnswer: -1539, -5, -2, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/4)\/(-4)*(-4)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 28. What is g(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.84 and -1.3.\nAnswer: -1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 93*q + 18881. Give x(99).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 6*u - 7. Calculate t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -415589 and -0.05?\nAnswer: 415588.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4458244 is divided by 1114556?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from {s: 3, k: 2, f: 6, c: 8}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/452 and 67\/13076?\nAnswer: 1477588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 4*h + 5. Let n(c) = 9*c**2 - 7*c + 9. Let m(t) = 2*t - 7. Let j be m(7). Let l(u) = j*g(u) - 4*n(u). Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/16*2*(-6)\/2. Let s = -554 + 554. What is the nearest to s in -5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -0.175 (c) 3\/2 (d) 5\/4 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -3\/5, -0.5, 4\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*h**3 + 2*h**3 + 60*h**3 - 14*h**3.\nAnswer: -169*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105421*x - 103947*x + 206360 = 0 for x.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 0. Suppose -r = 3*y - 2, 0*y = 3*y + 6. Let o(n) = -2*n**3 + 15*n**2 + 3*n + 49. Calculate the least common multiple of o(r) and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + 9\/6. Suppose -4*n = -o*u - 6, 5*u - n = n + 9. Suppose 1270 = 2*s + u*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-5)\/((-15)\/6). Suppose v*t = t. Suppose 3*c - 6*i + 3*i = 66, t = -2*c + 5*i + 44. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15)**3 assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -65. Let t = 107 - 98. What is the highest common divisor of t and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q + 13*q + 7*q in the form h + c*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-45))\/((-66)\/15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*d + 31 = 0, 5*d + 64 = w + 3*w. Let q be 25\/(-5) - (7 - 13). Differentiate -w + q + 1 + 8*t wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770.339686 rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 26824878?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let p(z) = -6*z. Let q(t) = 3*p(t) + 16*x(t). Let h be 24\/11 + 2\/(-11). Let r(d) = -h*d + 2*d + 2*d. Calculate r(q(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, o: 2, p: 6, u: 3, m: 3, v: 1}. Give prob of sequence bov.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0, 4\/5, 2, -11096\/9 in descending order.\nAnswer: 2, 4\/5, 4\/7, 0, -11096\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 8 + (-2 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 11, j: 3, d: 3, y: 1}. What is prob of picking 1 u and 1 j?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 5105*b - 3432526. What is m(-1763)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0 + 0*l**3 + 0*l**7 - l**2 + 0*l - 17\/60*l**5 - 11\/168*l**8 + 0*l**4 + 0*l**6. Find the third derivative of q(p) wrt p.\nAnswer: -1320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 44*p**2 + 3*p + 12. What is w(44)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 7 + 4 - 11.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027148264 to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0444 + -0.021. What is d rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.58 + 2.82. Let a = -26.4 + d. Let k = -2 + 1.7. What is the second smallest value in k, 1\/3, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 352624, 352620, 352614, 352606, 352596, 352584?\n\"Answer: -j**2 - j + 352626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 2, q: 4, y: 1, a: 1}. Give prob of sequence qa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54504 = 4*v + 4*d, -2*v = 5*d - 3871 - 23378. What are the prime factors of v?\nAnswer: 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 619 - 605 - (0 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -2*q - 5*y, 31 = 3*q + 5*y - 313. Solve 15 = -98*d + q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 1, p: 3, g: 3, y: 8}. What is prob of picking 1 x and 2 y?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 171863, 343727, 515591, 687455?\n\"Answer: 171864*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 - baa8?\nAnswer: -ba40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 38*h - 43*h + 7 = 0, -3*h + 5 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (495\/(-100))\/(-11) - -2 and -26\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 + 53 = 3*z, -5*x = z - 19. Let l = z - 19. Let h = -14 - -15. Solve -3*a + l*a = -5*u + 5, -2*a = -u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -353.189 + 0.189. Let p = f + 516. Let d = 162.9799 - p. Round d to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(312 - 310). Let i = 23.02 + -0.02. Is x at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2532649324 - -6.312.\nAnswer: 6.0587350676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 732, 1276, 1832, 2406, 3004, 3632?\n\"Answer: a**3 + 537*a + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -17*f**5 - 14*f**4 + 217*f**3 - 766*f**2 + 1168*f - 648. Let i(x) = 4*x**5 - x**4 - x**3 - x. Let v(c) = -4*i(c) - q(c). Factor v(l).\nAnswer: (l - 3)*(l - 2)**3*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, -0.5, 2\/9 in increasing order.\nAnswer: -0.5, -0.3, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/7)*f*((f**(10\/9)\/f)\/f)\/f assuming f is positive.\nAnswer: f**(-29\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h**3 + 38 - 39 - h**3)*(1 - 5 + 3) + (-2 + 2 + 8)*(0*h**2 + h**3 + 0*h**2) + 2*h**3 + 0*h**2 + 0*h**2.\nAnswer: -13*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 1. Let f(k) = k**2 + 4*k + 1. Let r(q) = 2*f(q) + l(q). What is the first derivative of r(d) wrt d?\nAnswer: 6*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102157 and 136795.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-18)*-10)\/((-1)\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + 168\/8. Suppose -5*f + b = -23. Suppose -3 = -4*i + f. Does 3 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:45 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13350 and 1905846?\nAnswer: 47646150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6117 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*d - 50, 12*c = -5*d + 5492475 - 5492359 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488224 and 24992.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-1\/5)*b))\/b**(2\/5))\/((b*(b*b**(-3))\/b)\/b)**0 assuming b is positive.\nAnswer: b**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2572 - -445332?\nAnswer: 450124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 2*c**2 + 4*c. Let i be w(3). Let o(m) = -1 - 12*m - m - i + 3. Calculate the remainder when 33 is divided by o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooxokokkkukiookxo.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 0, 4 in descending order.\nAnswer: 4, 0, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - j. Let f(k) = k + 9. Let v be f(-4). Give s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001911865608 rounded to 7 dps?\nAnswer: 0.0019119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 57\/5 of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p - p**4 - 8*p + 1 - 3 as h*p**3 + b + n*p + w*p**2 + q*p**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1153440, -1153417, -1153394, -1153371, -1153348, -1153325?\n\"Answer: 23*j - 1153463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -5. Let v = -87381087.0000132 + 87381071. Let y = n - v. What is y rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 297596 = 100*g. List the prime factors of g.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 2, -3.\nAnswer: -3, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474674 (base 8) in base 4?\nAnswer: 1213212330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 4895*r. Let s(k) = -44*k. Give w(s(u)).\nAnswer: 13552*u**2 - 215380*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6123 = -3*o + 21390, 4*u + 45919 = 5*o. Are 9179 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 2*t**2 - 2*t - 6. Let o be 20\/5 + 1*-1. Let y(n) = -n**3 - n**2 - n - 7. Let x(r) = o*b(r) - 2*y(r). Give x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 612*s - 201 + 631*s - 1923 - 1241*s as q + a*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*t + 32*t**2 - 73*t**3 + 4*t - 1 + 22*t.\nAnswer: -73*t**3 + 32*t**2 + 176*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -408*c - 21. Let r be f(4). Let t = -1102 - r. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*1*4\/(-9)*57\/(-1368)*108.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3216 and 0.476.\nAnswer: 1530.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i - 24 = 5*v, -2*v + 4*i = -32. Let f(c) = 2*c**2 - 2*c - 12. Give f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536.9731 + -537. What is i rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1100) + 2) + 1)**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let x = -2.00001 + h. Round x to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biiisisssbbsibiis. Give prob of picking 1 s and 1 b.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 0.71. What is the closest to -0.1 in 18, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c)\/(c**(-1)*c)*(c\/(c*c\/c**1*c))**50*c\/c**3*c\/(c*c**(-1\/5))*(c**6*c)\/c**(4\/7) assuming c is positive.\nAnswer: c**(-6247\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -43. Let q = 12 + -2. Calculate the least common multiple of b and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1983918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -6 - (7 - -1). Let c be -5*2\/f*3. Solve -2*q + c*q + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 614, 919, 1356, 1931?\nAnswer: 2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 100. Suppose -128 = -b*k + 664. What is the lowest common multiple of 18 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((3 - 2) + -2)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from mgqmqqydyqddqdq.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 50*s**3 - 19*s**2 + 22*s**2 - 3*s**2.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100250*x**6 + 4959*x**2 wrt x.\nAnswer: 12030000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 - 786*j**2 + 16*j + 8. Let d(h) = 6*h**3 + 801*h**2 - 20*h - 10. Calculate 4*d(n) + 5*v(n).\nAnswer: -n**3 - 726*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1616, -3234, -4852?\nAnswer: -6470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112980 + 477580 = 7831*n - 98568 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511 >= 7512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 2*y**3 + 2*y**2 + (-2*y**3 - y + y)*(11 - 18 + 15).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 0.33. Let w(m) = m**3 - 8*m**2 + 8*m - 2. Let a be w(7). What is the second biggest value in a, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0.4, -2.\nAnswer: -2, 0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 + 33755*p**3 + 6126950*p**2 + 29993080*p + 35748480 = 0.\nAnswer: -172, -3, -2, 6928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -516221633 and -72.193?\nAnswer: 516221560.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2746\/291 + 10\/97. Calculate the common denominator of x and 1\/4 + 780\/(-112).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129343520 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/2*(-3 + 5). Let u = 47 - a. Let n be 0 - (-11)\/(u\/378). What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.068 in 0.3, -2\/15, -1, 38?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -3\/2, 73?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342151 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxj when three letters picked without replacement from {d: 1, v: 1, j: 1, q: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(-6))\/(3\/108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 681394918 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 1, g: 2, l: 10, y: 2, d: 3, m: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1810 and 895180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*z - 4144, 3*z + 4*v + v + 3108 = 0. Let g = z + 2031. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/6*(-4881)\/3254?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/1287*-11*210\/(-2800)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -35125?\nAnswer: -35134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/300 + 2*x**5\/75 - 4*x**4\/15 - 64*x**3\/15 + 121*x**2. Determine a so that q(a) = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2193288593229.94369933 + 2193288604658. Let l = 11424.9563 - h. Let z = l + 3.1. Round z to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-558)\/33)\/6 - -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5360 - 2643. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*(i\/i**0)\/i*i*i)\/i))\/i)\/(i\/(i\/(i**(-5)\/i)*i)))**(5\/17)*(i**(-2\/9))**(-27)*(i*i\/((i\/i**0)\/i))**(-24) assuming i is positive.\nAnswer: i**(-689\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 458 + -458. Which is smaller: -17\/28 or v?\nAnswer: -17\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 481 - 196249\/408. Do z and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + ((5 + (sqrt(1100) - 2*sqrt(1100)) - sqrt(1100)) + -4 + sqrt(1100)*1 - ((sqrt(1100) + -1)*4 - (sqrt(1100)*1 + 2)))**2).\nAnswer: -2240*sqrt(11) + 70576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 4*x)*(-1699 + 2230 - 1178).\nAnswer: 1941*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b + 1\/2*b**2 + 0*b**3 + 1\/4*b**4 + 6. Find the second derivative of f(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c + 12 = -83, 0 = 4*c + 20. Let f = r + -27. Suppose 5*p = 5*o - 1205, -3*o = -2*o - f*p - 245. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, f: 2, n: 2, w: 4}. What is prob of sequence wnn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1818, -3618, -5418, -7218?\n\"Answer: -1800*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k - 6. Let v be g(6). Is -2\/49 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 32. Let s(h) = -3*h - 7. Let w(d) = d + 1. Determine g*s(a) - 4*w(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*r - 133*r = -96*r + 2816 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24083.44 to the nearest 100.\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -1, -1743\/106, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/47))*s)\/s**(-25) assuming s is positive.\nAnswer: s**(1221\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 3*i**3 + 3*i**3 - 2 + 3*i**3.\nAnswer: -2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 > 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -693 and -691 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-27)*-3)\/(-1))\/((-8)\/(-156)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001052787 to 6 decimal places.\nAnswer: 0.001053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 23*h**2 + 23*h + 22. Let v be a(-22). Solve v = 3*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j - 19. Calculate b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 22. Let s be l(21). List the prime factors of (-11 + -10)\/((-6)\/(-16)*s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 + 1204. Suppose k + 3*r = 252, -4*k = 5*r - w - 137. Calculate the remainder when k is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1176, -4702, -10576, -18798, -29368, -42286?\nAnswer: -57552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 21. Let m be x(0). Let j be 21\/2 + m\/42. Let n = j - 2. Calculate the highest common factor of 99 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863433 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g, -3*z - 3*g = -25 - 11. Let l(x) = 7*x**3 + 3*x**2 + 9*x - 6. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, 2888, 3 in ascending order.\nAnswer: -5, -4, 2, 3, 2888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1594 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*f**2 + 65*f**2 - 3*f**2 + 40*f**2.\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-7 - (8 + -18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-17)\/(-255) - (-38)\/(-14))*147\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -3945*b + 3939*b - 5*g, 3*g = 3*b - 15 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*1)\/(2*sqrt(108) + sqrt(108))*-6.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -30. Let s = p + 13. Let q = 6.2 - 6. What is the nearest to q in 0.1, 0.06, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69728 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14*s**2 - 14*s + 861. Calculate h(0).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 105. Let x(p) = p**3 - 5*p**2 - 3*p - 1. Let b be x(3). Let s = k - b. Calculate the remainder when s is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -17. Let d(j) be the second derivative of -j**5\/20 + 7*j**4\/6 - 13*j**3\/6 + 2*j**2 + 6*j. What is the smallest common multiple of d(b) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 6. Let t(z) = z**3 + 10*z**2 + 10*z + 11. Let x be t(-9). Suppose d = -s + 2*c, x*s + 5*c = -4 - 2. Sort 4, s, -1 in descending order.\nAnswer: 4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 - -3101?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*r + 110*r + 73*r + 49*r - 330*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)**(-2\/3))**(4\/7)\/((b**1*b)**(1\/2)*((b**(2\/5)\/b)\/b)**(11\/6)) assuming b is positive.\nAnswer: b**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36.8 + 39\nAnswer: 75.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 27*u\/4 - 35.\nAnswer: -(u + 7)*(u + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 11*t**2 - t + 15. Let s be c(11). Suppose -5*a = -s*a - 5. Solve -a*n - 7 = k, -n + 1 = -k - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*y - 3*y - 2*y)*(3 - 1 - 1) + 2 - 3 - 4*y + 2)*(3*y - 5*y + 4*y) + (0 + 0 + 3)*(-9*y**2 + 5*y**2 - 7*y**2).\nAnswer: -37*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/4 + 99981*u**2\/4 + 99978*u + 99977 = 0.\nAnswer: -99977, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 6*m + 6. Let i be k(-5). Suppose i = -2*f + 101. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271233362395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -930*m - 51140. Determine s(-55).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23373025 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41680 and 235896296.\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 135?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v - 38. Let b be k(-7). Suppose 19*s - b*s - 5680 = 0. Let z = -366 + s. What is the least common multiple of z and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -19*s + 38. Let k be h(4). Is -77\/2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -1925929.\nAnswer: 34\/1925929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 + -71. Suppose -123 = 100*h - r*h. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 3*w. Suppose 3*o + 5 = p - 0, 2*p + 1 = -5*o. Let i be y(p). Suppose 5*d = 12*d. Which is the closest to -0.1? (a) i (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14*d = 22*d - 152460. Calculate the highest common factor of 168 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 585 and 120?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11519 - -3?\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -2\/21, 4, -18\/23, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.456522 rounded to 3 dps?\nAnswer: -5.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 48*i**4 - 20*i**3 + 240*i**2 + 16*i - 192 = 0 for i.\nAnswer: -2, -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:08 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*o**5\/2 - 5859*o**4\/4 + 3327*o**3\/2 + 747*o**2\/4 - 375*o + 63 = 0 for o.\nAnswer: -21, -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5938\/9 or 660?\nAnswer: 5938\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 1. Let q = -270 - -269. Determine x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36825 by -15.\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(156) + (-1*sqrt(156) - sqrt(156))) + (sqrt(156) + sqrt(156)*2*3 + sqrt(156) - sqrt(156)))\/(sqrt(108)\/(sqrt(45)\/sqrt(5)*-4)).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85503880 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 5. Let b be m(-7). Let r = -51 + 31. Let p = b - r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 + 2*t - 15. Let f be p(10). Suppose 3*a + 5*h + 1 = h, 4*h = f*a - 9. Suppose 3*j + a = 7. Let m(d) = d**3 - 3*d**2 + 2. Give m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674.19 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - 2. Let z = -257\/5 - j. Sort 0.3, 1\/6, z, 0.02.\nAnswer: z, 0.02, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j**2 - 13*j - 46. Calculate c(-6).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 15*z**2 + 39*z - 51. Let x be w(-11). Solve -n - 4*h = -5*h + 5, -x*h = -8*n - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and 0.866?\nAnswer: 1.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 + 240935*a - 210991?\nAnswer: 4*a + 240935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.8 and -0.4079?\nAnswer: 2.2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k**2 + 71*k**2 - 83*k**2 - k**3 - 5.\nAnswer: -k**3 + 51*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, w: 1, g: 1, b: 2}. Give prob of picking 1 p and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**5 + 12 + 0*w**3 - w + 23\/30*w**6 - 57\/2*w**2 + 0*w**4. Differentiate s(z) with respect to z.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 3. Let x be o(2). Let v = -16 + 18. Is x != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let q(s) be the third derivative of s**6\/360 - s**3\/2 - 4*s**2. Let a(p) be the first derivative of q(p). Give o(a(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z**(-3\/5)*z)))**(-5\/6))**(-31) assuming z is positive.\nAnswer: z**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1386624*z**4 + 32*z**2 + 21702?\nAnswer: 33278976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3. Let c be (-1 - 4) + (-53)\/(-1). Calculate the least common multiple of v(-3) and (-47)\/(-3) + 16\/c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/457 - -5983\/1371. Let q(a) be the first derivative of -9\/2*a**2 + 4 + 0*a + f*a**3. Find the second derivative of q(i) wrt i.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*n - 251*n + 757*n - 255*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 1:18 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:01 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8317 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 683 + -680. Solve 2*x + 6 = 4*a - n*a, -4 = 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 1276*p**2 - 3821*p - 2546.\nAnswer: -(p + 1)*(p + 2)*(p + 1273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23133623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 k, and 1 f when four letters picked without replacement from {f: 1, o: 2, e: 2, y: 4, b: 1, k: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7478639 and 0.9.\nAnswer: 6730775.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, 5*h = -3*w - 0*h + 166. Suppose w = f + 3*f. Suppose 0 = -f*j + 10*j. Solve -a - 4*a + m + 29 = j, m - 21 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(2) + -2*sqrt(2) + 2 - -2*sqrt(2)*4))**2 - (sqrt(32)\/sqrt(2)*1 + sqrt(16))\/(3*2*sqrt(8)).\nAnswer: 251*sqrt(2)\/3 + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, y: 6}. Give prob of picking 3 c and 1 y.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 171 = 5*j + 167, -2*z + 12 = 3*j. Suppose -6*h = -h - 10. Calculate the lowest common multiple of h and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -41?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 30 = 5*g - 6*g, -4*g = 4*b - 48. Let p be b - ((3 + 0 - 6) + 6). Let u(x) = x - 2*x**3 + x**3 - 8*x**2 + p*x - 7 + 2*x**3. Calculate u(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(6120\/(-90)))\/((-21)\/(-301)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*v + 582, k + 2*v = 7*v + 279. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:32 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2. Let f(r) = -9*r**2. Let s(m) = 9*m**2. Let u(l) = -3*f(l) - 2*s(l). Suppose 9604 + 1286 = 15*j. Let p = j - 729. What is p*u(y) + 7*w(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 29*g + 1720. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8915 or 8916?\nAnswer: 8916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q**2 + 2*q**2 + (q + 0*q + 2*q)*(-2*q + 0*q + q))*(51 + 85 - 41)*(4 - 4 + q).\nAnswer: -95*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 9864534.\nAnswer: 69051738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2 + 1484*z - 7470. Give n(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 105264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {h: 5, n: 2, y: 1, o: 10, z: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19.4. What is the third smallest value in 0.1, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 + (-10)\/4). Suppose 0 = -2*h - n*u, -h - 3*u - 2 = 1. Solve 7 - h = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g)\/(g\/(g*g**(-22))) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/((p*p\/p**11)\/p))\/p))\/(p*(p\/(p*(p\/(p\/p**(-1\/3)))\/p*p*p))\/p))\/(p\/((p\/(p**(-2\/13)*p)*p)\/p)*p**(-6\/5)) assuming p is positive.\nAnswer: p**(-1751\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*((((w*w**(2\/5)\/w*w*w)\/w)\/w)\/w)\/w)**20*w**3\/((w**5*w*w)\/w)*(w\/(w*w**(1\/2)*w))**(-33) assuming w is positive.\nAnswer: w**(269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22116330 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, -0.5, 2 in descending order.\nAnswer: 5.3, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1612 equal to -486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4091 - 4066. Which is smaller: 51\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-35)\/15) - (-2 - 1). Let r = -4.05 - -12. Let i = -8 + r. Which is the smallest value? (a) -3 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 0*p**3 - p + 1 + 0*p + 0*p**2 - 4*p**2. Calculate the least common multiple of c(-4) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 22. Let i be 1*(-2)\/(w\/10). Suppose 0 = j - i*c - 11, -3*j - 4*c = -5*j + 52. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25931 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189316*o**3 - 595001 wrt o?\nAnswer: -567948*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-268)\/(-7) - 6\/21. Suppose -3*j - k = -2*o - j, 5*o = -j + 77. Let p be (o\/48)\/(2\/8). What is the second smallest value in 3\/4, p, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97266.\nAnswer: 2, 3, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {p: 14, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 40*j**2 + 6*j**2.\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) + 34\/(-28). Let d = -82 + 81.7. Sort 0.1, d, f.\nAnswer: f, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803839.\nAnswer: 3, 934613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10155*g**2 - 13*g - 9. Let y be l(-10). Suppose 5*v + y = -244379. Round v to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*d - 6, 0 = 3*s - 1024*d + 1019*d - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u - 2*l, -2*l = 5*u - 0*u + 3. Which is the closest to u? (a) 3\/4 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150528631 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - 101?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1112*-0.2.\nAnswer: 222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 54*o - 3 - 39*o to a*o + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8653833 and 1018098?\nAnswer: 17307666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 19670*n**3 - 64471698*n**2 + 70381551186*n + 141021146556.\nAnswer: -2*(n - 3279)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - 3. Let z(w) be the first derivative of 3*w**2\/2 + 188. Determine z(v(k)).\nAnswer: -9*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9861027 to the power of 1\/2, to the nearest integer?\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 42, -6, 413, 0 in ascending order.\nAnswer: -6, 0, 4, 42, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 6*i**2 + 5. Let g be a(-6). Let m = 52001\/5 + -363997\/35. What is the nearest to m in g, -2, -4, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31394 - 68554 = -9*c - 26472. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -30. Suppose z*w - 5*d = -d + 42, -6 = -2*d. Let l be w\/12 + 1\/(-2). Which is greater: l or 0.34?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000331242 to 7 dps.\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010121147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -175)*517\/(-28952).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (424\/10)\/(8\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 10*z - 9 = 0. Which is greater: z or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4728 and 0.08.\nAnswer: 2.5528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576241087 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44471934.\nAnswer: 2, 3, 13, 190051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 2*r + 4 + 2*r. Suppose 0 = 21*p + 363 - 258. What is t(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 154840*v**2 - 50089428*v + 4055117904 = 0. Calculate v.\nAnswer: 162, 154516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-20)\/(-200)*15*89\/(-246) and 19\/36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 110 (b) 2\/7 (c) 7734.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*-10)\/(5\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -41841489 at least -41841487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-2 + (-35)\/(-18)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (-31 - -8)*(-15 + -8 + -9)?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -100, -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 652*j**7\/21 - 40*j**4 - 2*j + 244. Find the third derivative of u(h) wrt h.\nAnswer: 78240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = s. Suppose 2*c - 8 = -2*a, -c - 5*a = -5*c + s. Suppose 156 = c*b - 3*w, 5*w + 166 = 4*b + 2. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 33. Suppose 8 = -t - h*g, 2 = 2*t - g - 0. Solve t = -4*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 - 5366 = 20*w. Let n = w + 225. Calculate the greatest common factor of 128 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n - 3. Let a be j(-3). What is the tens digit of a\/6 + 42\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 41. Suppose 2*x - 2*l - 8 = 0, x + 2*l = -4 - 4. Let y(u) = 2*u - 2 - 2 + x + 2*u. Let v(k) = -3*k + 3. Determine f*y(a) + 5*v(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 - -226be?\nAnswer: 226e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + sqrt(2057)*-3 + 5)*2 + (sqrt(2057) - (-3*sqrt(2057)*-1 - sqrt(2057) - sqrt(2057))) + ((0 + sqrt(2057))*5 - sqrt(2057)))**2 + 1.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*3\/((-150)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 278 = -f - 3*f, -f + 43*b - 47*b = 61 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v - 5. Let f = v - -2. Suppose -f*y = 2*y. Solve y = -h - i - 2*i - 19, 0 = -4*h - 5*i - 41 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 19 - 9. Suppose 5*a = 9 + 6. Suppose p = -z + a*z. What is the remainder when 40 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -258.486 and 581.\nAnswer: 322.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12448 - 5905. What are the prime factors of h\/9 + (-7)\/1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -377*b + 6034. What is the remainder when 122 is divided by j(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -7*j + 10*j. Suppose 2*b = -3*m + j, 0 = 3*b - m - 4*m + 8. Solve 26 = 2*n - n - 5*i, b*i = 5*n - 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3769*c - 203960 - 10873 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2535094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05814436 * -0.1.\nAnswer: -0.005814436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjxnxjoojjjxnojxnn. What is prob of picking 1 x and 1 n?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47148 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0, -4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-56)\/(-20) - 2156\/(-20). Let l = c - 105. Solve -l - 5 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 150*v**4 - 845*v**3 + 1070*v**2 + 660*v - 1400.\nAnswer: 5*(v - 2)**3*(v + 1)*(v + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 78822?\nAnswer: 7881a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5480, 10989, 16498?\n\"Answer: 5509*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1423115\/36 - -39528. Find the common denominator of 75\/356 and j.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, d: 1, v: 6, u: 2, g: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4 + 2115*c**2 - 2*c - 1289588?\nAnswer: -4*c**3 + 4230*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, 5, -12 in decreasing order.\nAnswer: 35, 5, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86366 and 5174.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 1535 = -37. What are the prime factors of c?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342 - 346. Let w be t*38\/(-80) - (3 + -1). What is the smallest value in -4\/15, 2, w?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 6 - (-833)\/98?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2265)\/13288*(-66)\/15?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**2 + u**3 - 3*u**6 - u**3 + 0*u**3 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 422, 3, -1 in ascending order.\nAnswer: -7, -1, 3, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -248 (c) 2842 (d) 1\/6 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1738, -7059, -15960, -28441, -44502?\nAnswer: -64143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 11) to base 4.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 5) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = -5*c - 2, -4*c + i = 0. Let z = 3 + c. Factor -32\/9*g**3 - 4\/9*g**5 + 28\/9*g**2 + 2\/9 + 2*g**z - 4\/3*g.\nAnswer: -2*(g - 1)**4*(2*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -417 - -438. Suppose x*z - 20*z = 300. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -p - 3*d - 49, 2*d + 697 = -5*p. Let q = p - -142. Let b be (-84)\/24*(-4)\/7. Solve -b*m - v + 10 = q*v, -m + v - 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -135955, -136173, -136391, -136609, -136827?\n\"Answer: -218*q - 135737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:32 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 34*s + 72. What is the lowest common multiple of n(-2) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13956 is divided by 358.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11069 - -408. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3384 = 9*k. Suppose -6*p + k = -510. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Suppose j - 1 = -4. Let r(n) = 1. Let f(t) = -3*t + 3. Let v(s) = j*r(s) + f(s). Calculate v(y(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*((-2 + 2 + 1)*(0*g + 0*g - 2*g) - 3*g + 2 - 2 + 1 - 1 + 2*g + (-37 + 63 - 35)*(2*g - 5*g + 2*g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) 1\/6 (b) -0.1 (c) -3\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.416 to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 274*j**2 - 718*j - 421139.\nAnswer: 548*j - 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11*r = 2128. Does 38 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 38999*f**2\/5 + 376201584*f\/5 + 15753774564.\nAnswer: (f - 19602)**2*(f + 205)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8)\/(sqrt(36) - sqrt(4)) - (-4*sqrt(8) + sqrt(2) + sqrt(2))).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1890995*10.\nAnswer: -18909950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 25160*g - 50323. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxyp when four letters picked without replacement from {p: 1, v: 5, x: 2, y: 7, u: 3, l: 2}.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:27 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1028b (base 15) to base 4\nAnswer: -30200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 3, i: 5, a: 1, e: 1}. What is prob of sequence ia?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95*v + 26*v + v**3 + 9*v)*(-5 + 3 + 4) to x*v**2 + i*v + j + s*v**3 and give i.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -47 in increasing order.\nAnswer: -47, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 22*x + 46*x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/7 + -2 - -3444 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 56*w**2\/5 - 162*w + 1872\/5.\nAnswer: 2*(w - 8)*(w - 3)*(w + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:00 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -395, -769, -1121, -1445, -1735?\n\"Answer: b**3 + 5*b**2 - 396*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -12, -10, -12, -24, -52, -102, -180?\n\"Answer: -j**3 + 7*j**2 - 14*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.7889984 and -3.\nAnswer: -38.3669952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 - 18*a**2 + 56*a**2 + 80*a**2.\nAnswer: 105*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -9 + -4 + 11. Suppose h = 5*c - 11, -2*c + 3*c - 19 = -g*h. Let r be (2 - 1) + 2 + 2. Solve 4*o = 3*j + 3, h*o = 2*j + r + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6420 and -2.4?\nAnswer: 15408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1605 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143535*x - 3167 + 424 = 143763*x + 677 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - 824*t - 3222. Give j(-26).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1198 + 1198 - 49*k)*(27*k - 14*k - 12*k) in the form c*k**2 + a*k + v and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, 3303, 10325, 20155, 32793?\nAnswer: 48239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n + 5*y, 2*n + n - 9 = 2*y. What is the first derivative of -8*r**3 + 11*r**3 - 1 + 23 - 4*r**n wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v**2)*(40 + 199*v**2 - 99*v**2 - 99*v**2).\nAnswer: -2*v**4 - 80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 - 345366?\nAnswer: -345419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 12518 = -4705. Let c = l - 361. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let t(b) = -b**2 - 4*b. Calculate t(y(r)).\nAnswer: -r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 201*h**2 + 200*h + 22. Calculate z(-200).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 104, 48, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (486\/135)\/(4\/10). Solve 4*t - 8*m + 1 = -g*m, 3 = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**7\/273 - 8*z**6\/195 + 12*z**5\/65 - 16*z**4\/39 + 16*z**3\/39 - 6*z. Find h such that j(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15\/(-2)*28\/(-35) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let g be (-1)\/q - (-2)\/4. Suppose g = 3*o - 4*p - 15899992, -o = -3*o + 2*p + 10599996. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(0 + 6 + -5). Suppose -s*n - 161 = 23. Are n and -47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267077 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(77)*3 + sqrt(77)) - sqrt(77))\/sqrt(7) + -5)**2 - ((sqrt(352)*-1 - sqrt(352) - sqrt(352))\/sqrt(8))\/((sqrt(44)*-1)\/sqrt(11)).\nAnswer: -113*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - f - 17 + 8 + 31.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose 50 = q*w - 5*b, 0 = w + 3*b - 7*b + 2. Suppose -3 = -3*n + 12. Calculate the remainder when w is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 45044171 = -3*r, 75073609 = -3*r - 2*r - 2*c. Let p = r + 28314721. Round p to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 a factor of 5082266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 22826215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f75f (base 16) to base 8.\nAnswer: -173537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 573, 567, 557, 543, 525, 503, 477?\n\"Answer: -2*j**2 + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 18 = -2*f. Suppose -5*b - 5*o = -30, 7*b - f = 2*b - 2*o. What is the second derivative of 2*l + 2*l**2 + l**b + l**4 - 3*l**2 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.027? (a) -0.1 (b) 5 (c) 62 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1613385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 1. Let d(q) = -q**3. Give -5*d(s) - v(s).\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5995, 11983, 17965, 23941?\n\"Answer: -3*j**2 + 5997*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.065 + -0.265. Let d = -0.19 - -11.19. Which is bigger: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/64 and -4 + 2 + -5 + (-558)\/(-56).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ianqna. Give prob of picking 1 n and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-3)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*735\/180*30\/35?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 6*u**2 - u. Let j be p(-3). Suppose -5*h + 161597 = -j*k + 21541, 3 = k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596672 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16164 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuttutultgukjt. What is prob of sequence tgk?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16354 + 16373. Put h, 5, 35, -0.4 in descending order.\nAnswer: 35, h, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 17. Let r be a(7). Let x(j) be the second derivative of -8*j**3\/3 - 21*j**2\/2 - 4*j. What is the remainder when x(r) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 95\/14?\nAnswer: 95\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 10*z - 612 = -18*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057691 is divided by 1028822?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127799, -128048, -128299, -128552?\nAnswer: -128807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (17 + -10)) + 2 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, x: 2, z: 2, n: 1, c: 1}. Give prob of picking 1 z, 1 c, and 2 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 971.4785 micrometers?\nAnswer: 0.0009714785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*l + 635*l + 13*l**3 - 841*l.\nAnswer: 13*l**3 + 158*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/8, 4, 2 in increasing order.\nAnswer: 0.1, 1\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (487 - 487 - 34*m)*(3 + m - 3).\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.72 + -7.5. Let n = v + 2.22. What is n rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101001001100011101001000 (base 2) to base 14\nAnswer: 1611676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(242)*2 + sqrt(242) + 1.\nAnswer: -2 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 14. Let p(j) = -23*j**2. Calculate p(y(n)).\nAnswer: -92*n**2 + 1288*n - 4508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = 3*c, -2*f + 48 = -4*c + c. Calculate the common denominator of -51\/22 and f\/20 - (-47)\/(-15).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -9.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8152 and 4?\nAnswer: 8152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/40*128\/(-48)*-87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108302233?\nAnswer: 13, 251, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104000 divided by -400.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3898?\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 2, w: 1, l: 4, m: 2}. What is prob of sequence vhv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1.8412667909?\nAnswer: -6.8412667909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v**2 + 0*v - 1\/3*v**3 + 5. Let o(g) = -g**2. Determine o(p(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 96230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*l = 561*l + 54. Solve 5 = 79*j - 74*j + 5*t, l*t - 10 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 211310, 845245, 1901798, 3380963, 5282734, 7607105, 10354070, 13523623?\n\"Answer: -u**3 + 211315*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 + -203.3. Put -1\/2, 0.09, c in decreasing order.\nAnswer: 0.09, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q**2 - 2*q + 2. Calculate the least common multiple of d(2) and 21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1\/2 (c) 0.3 (d) 0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 15*x - 24. Give l(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 15. Let l(p) be the first derivative of -8*p + 3 - 1\/2*p**2. Let v(u) = 4*c(u) + 7*l(u). Give v(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -771 + 2?\nAnswer: -76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**3 + 120*q**2 - 59*q**2 + q**3 - 61*q**2.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 11. Let x be d(8). Let h be 22 + 1 + x + 3. Let p = -7 + h. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 99.5. What is the fourth smallest value in 14, 0.5, g, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, 0, 7, 3, 0.3 in increasing order.\nAnswer: -341, 0, 0.3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 11*u - u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -71*t + 64*t. Suppose -14 = -4*o - f, 2*o = o + 4*f - 5. Solve o*k + t = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4028)\/931)\/((-2)\/7) + 1\/(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 + 376*g**2 + 19610*g + 312132 = 0?\nAnswer: -114, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -68*j + 7. Let f(n) = 11*n - 1. Determine 39*f(o) + 6*v(o).\nAnswer: 21*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxx when three letters picked without replacement from {n: 1, k: 4, v: 1, x: 2, z: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2.7 (c) 2\/5 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + 10)*48\/144*(1 + -328). Which is smaller: -3057\/14 or x?\nAnswer: -3057\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i - 55. Suppose 0 = -2*g - 4*o + 6, -4*g - 2*o = 2*o - 12. Let l = g - i. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1615525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30560857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22558.6 nanograms in milligrams?\nAnswer: 0.0225586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + -10 + 22 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 + 8*w - 7. Let m be h(7). Suppose -7*v + 4*v = m. Suppose 0*y + 5*y - 35 = v. Solve 5*s + y + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -125.49. What is d rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 96. Let b be r\/15*(-40)\/(-126). Let d = b - 2\/7. What is the second smallest value in 4, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -327, -438, -549, -660, -771?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 163374 + 407105 = 3*u, 0 = 2*u - 5*g - 162500. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0*z - 5*z + z)*(2*z + 3 - 3).\nAnswer: -8*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.2 (c) 2665\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1968*t - 530. What is the ten thousands digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 48, 105, 180, 273, 384, 513?\n\"Answer: 9*l**2 + 12*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 49 + 44*o - 162 - 130*o + 51.\nAnswer: -86*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose -a*k + 0 = -4. Suppose 0 = 5*w - w - 16. Put k, 0, w in increasing order.\nAnswer: 0, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 1284, 4308, 10196, 19902, 34380, 54584, 81468?\nAnswer: 115986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57.23 + 60.13. Suppose c = -2*c + 15. What is the closest to 0 in -3, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6162860 or 6162857?\nAnswer: 6162860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 24*f**2 - 153*f - 270 = 0 for f.\nAnswer: -15, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -285629.\nAnswer: -8\/285629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*x**5 + 38*x**3 - 258*x wrt x?\nAnswer: 160*x**3 + 228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032867 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (16 + -6) - -16 - 14?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1321*i**3 - 1300*i + 1300*i + (-3 + 3 - i**3)*(2 - 1 + 0) + 4*i**3 - i**3 - 4*i**3)*(2 - 3 - 6).\nAnswer: 9261*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1917?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Let h(i) = -8. Let d(w) = 2*h(w) - 14*p(w). What is the tens digit of d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 + -11 + 1). Suppose -l - 4*l = u. Calculate the common denominator of -113\/20 and 2\/8 - 25\/l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let j be i(2). Let y be ((-1)\/(-1))\/(2 + j). Is 1\/10 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 23 = 2*l - 3*u, l - 2*u = 10. Suppose -2 - l = -3*k. Solve -k = -4*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 12*s**3 - 13*s**3 + 14*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3441183402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -14 (c) 3 (d) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*t + 2)*(-38*t - 34*t + 21*t).\nAnswer: -102*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 21. Give u(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let s(u) = -20*u. Let q = 114 + -70. What is q*y(b) - 2*s(b)?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 x when three letters picked without replacement from ssnxsnnsnms?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*m)**(-1\/14))**(-9\/11) assuming m is positive.\nAnswer: m**(27\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -1222?\nAnswer: -22\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24644*k + 8030 = 24648*k - 49402*k for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/12 - 5*t**3\/3 - 6*t**2 - t - 491. Calculate o(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 28\/42 - (-109)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k + 490 = 84*k. Suppose -v + 2*n + 62 = 3*v, -65 = -4*v + 3*n. What is the greatest common factor of k and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in 0.9, -5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/6, -2\/5, 4, 2 in ascending order.\nAnswer: -2\/5, 11\/6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*d - 3, -6*d - t - 13 = -3*d. Suppose 23 = 5*l - 3*m, -2*l + 13 = -2*m - 3*m. Suppose 0 = 5*j + l + 1. Put d, j, 0 in descending order.\nAnswer: 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 12370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170445, 340991, 511537, 682083, 852629?\nAnswer: 1023175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 13*b**2 - 22*b. Let z be a(-11). Suppose -6 - 24 = -6*s. Solve n + 2 - s = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/140)\/(((-928)\/(-2436))\/((-4)\/(-30)))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -21*d**5\/5 + 113*d**4\/4 - 2197*d**2 - 2129. Find the second derivative of j(i) wrt i.\nAnswer: -252*i**2 + 678*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 545535848*z**4 - 735088192.\nAnswer: 2182143392*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928366 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*f + 3 + 4 - 1 = y, 0 = 10*f - 15*f - 3*y + 39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4 = -3*s - 1, -5*m + 2 = 2*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41249549753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*f + 9 = 0, 4*d - 12 = -2*f - 0*f. Suppose 0 = -d*k + 4*n - 2194, 6*k = k + 5*n - 3655. What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 13) to base 8\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1346804791 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/945552?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013503 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226952527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 2*w + 6, 3 = w. Suppose 0 = -h - y*h - 8. Is 11 a factor of (-1)\/(-2)*h + 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 662 - 663 - 5*r + 2*r. Suppose 2*q - 8 = 6*q. Let f be h(q). Solve -18 = -2*z - 2*p, f + 3 = p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -6423063?\nAnswer: -12846126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k. Let i(v) = 80*v. Let m(r) = 6*i(r) - 35*x(r). Let g(u) = 19*u**2. Determine m(g(j)).\nAnswer: -190*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 - -5494.\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 5. Suppose 1 = -n + 8. Let a be h(n). What is the second derivative of 7*m - 18 + 4*m + 18 + 16*m**a wrt m?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = m + 2. Suppose 2*s - z - m = -2, -5*z = 0. Let l be 5\/10 + s\/2. Solve -3*h - 6 = 3*n, n + 0*h = -2*h - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1175*n - 26262 wrt n.\nAnswer: 1175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 781 - 780.7. Which is the nearest to 171? (a) 0.5 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 6 = 0. Suppose -t*c - 3 = c. Let r(z) be the first derivative of -6*z**2 + z + 9. Give r(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 2*d**5 - 5*d**5 + (-3 + 5 - 1)*(d**5 - 2*d**5 + 2*d**5) - d**2 - d**5 + d**2 + (d**5 - 2*d**5 - d**5)*(-4 + 3 + 2) - 2*d**5 - d**2 + d**2.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 287*o + 8905. Determine k(-98).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 not equal to 152\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -24. Let t = -12 + h. Which is the third smallest value? (a) t (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 0, 8, 1, 7, -9 in increasing order.\nAnswer: -9, -1, 0, 1, 6, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54*(-25)\/78975)\/((-1)\/9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 - 8*s + 1. Calculate t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 6\/4)*-1042. Let y be (4*6\/(-15))\/(12\/2370). Let p = j + y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -64*o**2 - 91*o + 13. Let m(r) = -20*r**2 - 30*r + 4. Determine 13*m(i) - 4*z(i).\nAnswer: -4*i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-384))\/(4\/(-1376)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-171) + (-2)\/90. Factor k*u**3 - 1\/5*u**2 + 0 + 0*u.\nAnswer: u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/19)*i**7\/i*i)\/(i*i\/i**(-30)*i\/(i*i**13)) assuming i is positive.\nAnswer: i**(-222\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:50 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 23977 + 79607 = 10*z. What are the prime factors of z?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1770897351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*z = -62, 5*z - z - 20 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + x**2 - x. Let c be r(1). Suppose -70 = -4*l + v - 12, 22 = c*l - 4*v. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = 2*k - 9*z, -2*k + 15 = -3*z. Calculate the highest common divisor of k and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 + 353*q**2\/2 + 85517*q. Let w(s) be the second derivative of s**3\/3 + s. What is w(v(y))?\nAnswer: 2*y**2 + 706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 444*w - 5438 - 6592 + 4482 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**3 - 6*g**2 - 13*g + 16. Let x be w(-12). Round x to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92685 and 23865?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 15\/5 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let u be (-30)\/(-3) - (l - 0). Let y be (-2)\/(-5)*(-1 + 16). Is u > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/6)\/(-5) + 2. Suppose -4*q - 4*h - 788 + 792 = 0, 3*h - 7 = -4*q. Which is the biggest value? (a) 0.03 (b) r (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - -12.36?\nAnswer: -21.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuu when three letters picked without replacement from hchuhheu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let l(w) = 5*w - 21. Let n be l(4). Is c less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 30 = 5*m. Solve 3*v = -2*s - m, 4*v - 2*v = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaiamziy. What is prob of picking 1 a and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*s = 25, 0*s + 5*s = 5*q + 35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 1, c: 1, j: 3, b: 4, m: 1}. Give prob of sequence cj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157054.2 and 0.5?\nAnswer: 78527.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 + 530. Which is the second biggest value? (a) -2 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m*m\/((m*m\/(m**(4\/3)*m))\/m)))*(m*m**(-2\/35))\/m)**(-27\/2) assuming m is positive.\nAnswer: m**(-2151\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*o**3 + 32 + 226\/7*o**2 - 449\/7*o.\nAnswer: -(o - 224)*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3\/38 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 5*b + y, 103*b + 4*y - 76 = 102*b. Solve 0 = -36*t + b*t + 64 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) + (-6)\/(-20). Which is the nearest to m? (a) -1 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247336, -989333, -2225988, -3957295, -6183248?\nAnswer: -8903841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -101451?\nAnswer: -101453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 24. Let x(u) be the second derivative of 2*u**3\/3 + 25*u**2\/2 - 33*u. Let r be x(h). Which is smaller: r or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/44)\/(3\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 7241028210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 - 51 = 9*a. Let r be ((-210)\/(-2) - 0) + 0. Suppose b + a = r. Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -103?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 20*r + 18. What is the remainder when 26567 is divided by k(20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*c - 18, -16*j + 3*c = -13*j - 27. Find the common denominator of (35\/20)\/((-1)\/j) and -24\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 5 + 29 + (0 - -6 - -10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1666)\/(-196)*102\/51.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214.59 - 215. Let z = 92.59 - o. Which is the closest to 0.1? (a) -4 (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 19, l: 1}. Give prob of sequence kl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 3*v + 2. What is q(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 22 = -15*t + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -70, -116, -176, -250?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 37 - 43. List the prime factors of (-1424)\/(-20) + 4\/t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.003 - -7.1. Let k = 49.6 - 49.7027. Let x = k + p. Round x to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12581455 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 633 + -633.2. Let s = 11 - 8. Sort -0.1, a, -1\/3, s in decreasing order.\nAnswer: s, -0.1, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/6)\/((-3)\/(-20)). Let w be -2 + (3 + 0 - -3). Suppose -w*c - c + u = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 20*n + 7 = -k, -1 = -k + n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 3, d: 13}. Give prob of sequence rddd.\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -555940 divided by 418?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157 and 388889.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459633269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -2*c**5\/5 - 2587*c**4 - 5020720*c**3 - 7527200*c**2 - 3*c - 191. Factor t(i).\nAnswer: -4*(i + 1940)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10643430 (base 7) in base 11?\nAnswer: -589724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(44)*2 - (sqrt(55)\/(sqrt(10)\/sqrt(2)) + -2)))**2.\nAnswer: 56*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 16 - s**3 + 16*s**2 - 13*s - s**3. Let c be o(15). Suppose 3*g - 68 = -f, -3*g + c = -g + f. What is the greatest common factor of 33 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than 88999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 14 = 9, -3*z = -4*p + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 4, 5.\nAnswer: -4, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/2 + 146135*t\/2 + 16831975 = 0. What is t?\nAnswer: -230, 146365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*q + 60*q - 340*q + (-3 + 4 + 4)*(-2*q + 2*q + q))*(-2 - 1 + 4).\nAnswer: -522*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233395 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 62. Let s be (-75)\/k + 39\/(-9) + 4. Solve -4*q - 8 - s = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 8*3\/(-3). What is the first derivative of o*c**3 + 1 - 5 + c**2 - c**2 wrt c?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/8 + 1433*l**4\/8 - 405329*l**3\/8 - 823577*l**2\/8 + 1016205*l\/4 + 306153 = 0.\nAnswer: -3, -1, 2, 391, 1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -849725*j - 16144771. Determine u(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -9*s**4\/2 - 10*s**3 - 13*s**2\/2 - s = 0?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.844 to the nearest integer.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**2. Let i(g) = 65*g**2. Calculate v(i(o)).\nAnswer: 71825*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3))**(3\/8) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53298)\/(-4935))\/((-126)\/(-28))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and -0.69.\nAnswer: -23.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*x - 31694*x**4 + 216*x + 10 + 4*x**2 - x**3 - 10 + 31693*x**4 as w*x**2 + k + a*x**3 + g*x + n*x**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87058 is divided by 1161?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*l + 52 = 3*s, 5*l = 2*s - 92. Calculate the common denominator of (15\/(-200))\/((-3)\/s) and (0 - -1)*38 - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 33411?\nAnswer: -33255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Suppose -y*b + 3*b + 1 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -10, -2.8, -62, -1\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6747*c**3*v - 110*c**3 - 2*c**2*v + c*v + 1033*c + v wrt v?\nAnswer: -6747*c**3 - 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 107711 - -4136490.01\nAnswer: 4244201.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*q**3 - 2*n*q**2 + 158218*n - q**3 + q**2 + 35078*q - 1 wrt n?\nAnswer: -q**3 - 2*q**2 + 158218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539305775 to the power of 1\/2, to the nearest integer?\nAnswer: 59492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960 = -13*s - 26*s + 258 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.78\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2302, -4602, -6902, -9202, -11502, -13802?\n\"Answer: -2300*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -824*v + 16412. Calculate h(20).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iti when three letters picked without replacement from {i: 8, t: 3, p: 6}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1970 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) -0.33 (d) -19664\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -370.\nAnswer: -1\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 7, u: 2}. Give prob of sequence xu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c - 209*c = -275 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140616 and 12600.\nAnswer: 3515400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 + 45 = 0. Solve -2*v + p = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 + 2*r - 11. Let q be f(10). Let w(c) = c**3 + 7*c**2 - 8*c + 1. Let n be w(-7). Suppose -n + q = -3*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 174*f + 744.\nAnswer: -3*(f - 62)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 266243329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - ((sqrt(162) - (sqrt(162) + -2*sqrt(162) + sqrt(162))) + sqrt(162) + -4))*1 - -6*6*(1 + sqrt(162)).\nAnswer: 40 + 315*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 24068982.536?\nAnswer: 24068980.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/24381?\nAnswer: -4\/24381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61798?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -978994435343 and -2.\nAnswer: -978994435345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - t = 10, 2*t - 5*t = 12*b - 51 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/84 + 4\/14)\/1. Is (1406\/76)\/(v*1\/2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*f - 2*h = -1322*f + 7, -5*f - 3 = 4*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -1547.\nAnswer: -1547, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert abb (base 14) to base 9.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -274755775.48 - -6.7?\nAnswer: -274755768.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 2*x. Let t = x + -2. Let k(y) = -2 + 2 + 7*y. Determine k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -39*u**3 + u**2 - u + 12. Let t(q) = -38*q**3 + 2*q**2 - 2*q + 13. Let n(b) = 4*a(b) - 3*t(b). What is the second derivative of n(w) wrt w?\nAnswer: -252*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10))**(-4\/9)\/(j**5)**(-1\/41) assuming j is positive.\nAnswer: j**(1685\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.45 and -0.08.\nAnswer: 2.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30683 divided by -6632?\nAnswer: -30683\/6632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g - 1\/3*g**3 - 19\/105*g**7 + 0*g**6 + 0 - 13\/12*g**4 + 77*g**2 - 1\/30*g**5. What is the second derivative of h(w) wrt w?\nAnswer: -456*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132682\/5 >= 26537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*31*492\/1271.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 + 3106*p - 47711. Calculate k(329).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275 + 504 - 3*x + x + 28.\nAnswer: -2*x + 807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let c(l) = 3*l**p - l**2 + 2*l**2 - 5*l**2. Let j(z) = -7*z. Let u(r) = -15*r. Let o(n) = 13*j(n) - 6*u(n). What is c(o(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t - 6. Suppose 4 + 8 = 3*g. Calculate h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 577 = 2*w - w, -5*p + 4*w + 735 = 0. Suppose 103 + p = -3*n. Let g = n + 180. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62776)\/(-119700) - (-52)\/(-117).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94.8 + -93.8. Which is the biggest value? (a) -15 (b) -2\/31 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 0*n)*(-6 + 2 - 17 - 101).\nAnswer: 122*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555 < 12485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixpvj. What is prob of picking 1 j and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.073231 and 65.\nAnswer: 4.760015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f + 9. Let c be u(6). Let l be 5\/(15\/c) + -5. Suppose 6210005 = t + d, -2*t + l*d = -d - 12419985. What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 36 = -4*x, r = x + x + 2. Let g(l) = -l**2 + 7*l + 11. Let u be g(r). Factor -q - 2*q**u + q**3 + 2*q**2 - 4*q**2.\nAnswer: -q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 826780.1827 to the nearest 1000.\nAnswer: 827000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2826287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**5\/30 + y**4\/3 + 37*y**3\/6 + 9*y**2 - y. What is the remainder when g(-6) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/5))**(-21)\/((q\/((q*q**32*q*q)\/q))\/q**37) assuming q is positive.\nAnswer: q**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 37984?\nAnswer: 11395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159\/799 + 2083\/5593. Let 25\/7*x**2 + 8\/7 + 38\/7*x + j*x**3 = 0. What is x?\nAnswer: -4, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-10) - 3) + (-10)\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, 5, 9, 264 in descending order.\nAnswer: 264, 9, 5, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - (-3 - 1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8175 times -4\nAnswer: -32700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1100122200010202?\nAnswer: 1100122200010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 359390*q - 213050040.\nAnswer: 5*(q - 72466)*(q + 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.5. Let i = m - 0.8. Which is the third biggest value? (a) 1\/6 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - -1 - (-3 - -2). Let u be (-6)\/4*(-1 - 1). Suppose 0*p + u = 3*p - 3*i, -2*i - o = -3*p. Solve -p*r - 4 = -7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207 + (3 - (-5 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 465 = 0. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 0, -1, 7, 0.2 in increasing order.\nAnswer: -1, -0.09, 0, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/8 (c) 46 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 - 16044224*f**2 - 94619884*f.\nAnswer: 12*f**2 - 32088448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, -216, -581, -1088, -1737?\n\"Answer: -71*u**2 - 10*u + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404238 and 1167858?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6*-3)\/((-30)\/100). Suppose 5*q - t = q. List the prime factors of (12\/q)\/(4\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-6 + (2 - -1)). Let j be (50\/1)\/(p\/(-230)). What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = -370*j + 4041 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + j**2 - 2*j - 12. Let y be l(-4). Let q be 3 + 0 + y\/(-44) + 2. What is the second biggest value in -1, 4\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110707627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4480 and 45?\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.047 - 49.953. Let b = n + 50.00000176. What is b rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 19 = -4*s, 2*s = -p - 0*s - 5. Suppose -4 = p*g - 4*z + 3, -3*z = 5*g - 27. Let k(n) = 2*n**2 + 3. Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 59. What is the tens digit of (-1)\/(-3) + n\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/60 - 11*q**5\/60 + 7*q**4\/24 + 7*q**3\/6 - 4*q**2. Let l be j(-6). Let o be (1 - 1)\/(2\/(-1)). Are o and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-4) - ((-9)\/3)\/(-6). Suppose z*b + 12*b = 62. Solve 3*d - 6*f = -b*f + 6, 4*f = d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.09 - -5.59. Sort -1, -17, j in ascending order.\nAnswer: -17, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 665*d - 12972. Determine f(20).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 - (2\/((-2080)\/332) + 8) and -21\/572.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 42, 38, 32, 24, 14, 2?\n\"Answer: -w**2 + w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -4.1. Let y = -0.095 - 0.005. What is the third smallest value in y, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362*k - 1959*k - 14328 = 0 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 21. Suppose k*j = -b + 2215, -3*j + 731 = -2*j + 4*b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3372377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3469981.95 - 2.1322.\nAnswer: -3469984.0822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -61, 1\/5, -2\/3, -0.2, 10\/69?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d*d**(2\/11)*d assuming d is positive.\nAnswer: d**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1772*o**2 + 12600*o.\nAnswer: -4*o*(o - 7)*(o + 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -19.8. What is o rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -11051.\nAnswer: 3\/11051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24556790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/6 + 0)*(-231)\/14. Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*l + 16. Let d(q) = 11 + 99755*q - l + 213576*q. Let k be d(3). What is k rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1804, 1809, 1812, 1813, 1812, 1809, 1804?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.022 and 890.\nAnswer: 19.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-384)\/(-2592).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 111*j + 3152. Let s be c(-26). What is the greatest common divisor of 154 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1166 + 2076. Suppose -4*f - 174 = 1526. Let g = f + v. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8623.5 rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5244*b - 1888*b - 1956*b - 1327*b.\nAnswer: 73*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 12. Let f be 56\/(-6) - 2\/3. Let b be t(f). Let a = 1 - 2. Is b < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3621.\nAnswer: 1\/3621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9*d**2 - 1 - d**2 - 33*d**2 as l*d**2 + x*d + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*z + 16. Suppose z - 26 = -4*b. What is the units digit of (-74)\/(-9) + b\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24381271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3 - 320*i**2 + 421*i - 94.\nAnswer: -(i - 1)*(i + 47)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401 (base 5) in base 15?\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*a**5 + a**3 + 1904*a wrt a.\nAnswer: -740*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:56 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 312, 2113, 6924, 16251, 31600, 54477, 86388, 128839?\n\"Answer: 251*s**3 - s**2 + 47*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1046859 and -4\/19319307?\nAnswer: 212512377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125 - -11) + 80 + -57?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9259729.\nAnswer: 29, 83, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/7))**(2\/3)*x**(-6)\/(x**(1\/2)*x))**(1\/14))**(-47) assuming x is positive.\nAnswer: x**(14429\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2. Let u(b) = b**2 + 5*b + 6. Let v be u(-4). Calculate f(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18700 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Let h be p*(0 - 1\/(-3)). Which is bigger: 4\/3 or h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.5854 months to years.\nAnswer: 18.71545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 900\/14 - 66196\/988\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/7 - 6*n**4\/7 + 25*n**3\/7 + 10*n**2 - 24*n\/7 - 64\/7 = 0. What is n?\nAnswer: -8, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g**2 + 4*g**2 + g**2)*(1 - 1 + 2) + 25*g**2 + 96*g**2 - 36*g**2 to q*g**2 + s + a*g and give q.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 975464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9393885 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 + -10 + 166 + -157?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2084, 3\/34, -1\/8?\nAnswer: 2084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 11158235.\nAnswer: 3\/11158235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5) - 1\/3. Let x be -1 - ((-102)\/45 - -1). Let w = x + d. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*o**3 - 23*o**3 - 2*o**4 - 42*o + 2*o - 81 wrt o?\nAnswer: -8*o**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 27 = -s. Let v = s - -29. Suppose -v*g + 256 + 94 = 0. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Which is the nearest to 2\/43? (a) -332\/23 (b) 3 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160315 = -3*i + 5*o, -4*i - 27*o + 31*o - 213748 = 0. Is ((-4 - -6)*1)\/((-10)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, -4*k + 6*j = 2*j - 4004. What are the prime factors of k?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 10*z = -70, 0 = 5*d + 12*z + 644 - 559 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w + (-3 + w + 3)*(5 - 1 - 3))*(-3*w - 4*w + 3*w) - 2*w - 3*w**2 + 2*w.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*m - 49. Suppose 2*q + m = b, -3*b + 2*q = -b - 12. Suppose 0 = 2*j + b*g - 361, -j + 113 = g - 66. 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: What is the value of (13 - -2) + 0 + (27 - 25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -250276?\nAnswer: -7\/250276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36042, 36044, 36048, 36054?\nAnswer: 36062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -19. Let i = 15 + -9. Is c at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 4*c - 2. Suppose 3*a - 5*n - 48 = 0, 7*n - 2*n = -a + 16. Let q be (-1 - 14 - -3)\/(-1). Let i = a - q. What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -76*m + 5. Let p(o) = 100*o - 5. Let t(l) = 5*f(l) + 4*p(l). Let q(u) = 41*u + 9. What is -6*q(j) + 11*t(j)?\nAnswer: -26*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**3 - 3*z**2 - 2*z. Let o be t(-1). Differentiate 28*x**o + 2*x - 19*x**4 + 20 - 2*x with respect to x.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 151512720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1853, 7134, 15841, 27980, 43557, 62578, 85049, 110976?\n\"Answer: a**3 + 1707*a**2 + 153*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -28.29.\nAnswer: -8.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1089, 2205, 3247, 4179, 4965?\n\"Answer: -6*y**3 - y**2 + 1161*y - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248990 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 458.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/((-1)\/(-5)). Let l be b\/7 + (-1578)\/14. Round l to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 + -3.79. What is the third biggest value in -2\/5, k, -4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333 * -0.058.\nAnswer: -19.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10 = -12*k, -4*k + 4*c = -25 + 33 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280070 - 280070 - 69*v**2.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*y = -954*y + 293*y - 82280 for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -421 and -4.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(2\/7)*j*j))\/((j\/j**8)\/j)*(j*j**(1\/3))**(-5))**(11\/2) assuming j is positive.\nAnswer: j**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 46 - 76 - 34 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -26*h**2. Let m(k) = -2. Let t(o) = -o - 5. Let v(a) = -5*m(a) + 2*t(a). Determine v(b(y)).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327506.\nAnswer: 2, 3, 221251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/12 - 7*t**3\/6 + 4*t**2 - 2*t. Let r be q(6). Suppose -7*d = -r*d - 45. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 204*f - 204*f - 3*f**4 - 8*f**2 - 4*f**4 + 8*f**2 - 3*f**4 - 2*f**4 + 4*f**4 + (-7*f**3 + 7*f**3 + 3*f**4)*(1 - 3 - 1).\nAnswer: -17*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2530*h - 242. What is the tens digit of v(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.43 - 1.43. Which is bigger: 0.035 or q?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 308*g - 302. Let n(i) = -72*i + 24*i - 54*i + 108 - 7. Let p(s) = -3*h(s) - 10*n(s). Differentiate p(m) with respect to m.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by -2?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 472149 divided by -52461\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 - 2461 = -13*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(336\/(-108)) + (3 - 5)*1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1287 - 771. Let h = -1056 + 1068. What is the least common multiple of c and h?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8 - 9 + 26*s + 14*s**2.\nAnswer: 14*s**2 + 26*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 8. Let i be u(-7). Let p = 2 + i. Solve -4*q - k + 4*k + 19 = 0, -3*q - p*k = -9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/(g**(-1\/9)\/g*g))\/(g*g**0)**(18\/11))**(-2\/47) assuming g is positive.\nAnswer: g**(896\/4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -11*o**4\/12 - 56*o. Let d(q) = -19*q. Calculate d(s(j)).\nAnswer: 209*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-333 - n + 2*n + 270)*(156*n**2 - 28*n**3 - 156*n**2) in the form m*n + c*n**3 + b + y*n**4 + l*n**2 and give c.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0215 > 0.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i + 2. Let t(z) = -22*z + 5. Let j(y) = 5*o(y) - 2*t(y). Let u(r) be the second derivative of -1\/3*r**3 + 0*r**2 + 12*r + 0. Calculate j(u(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjrjxddrrdr. What is prob of sequence crd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - x, 0 = 2*p + 3*x - 18 - 1. Let c(t) = 2*t**3 - 14*t**2 + 3*t - 19. Let m be c(7). What is i in m*i + 14 - 4 - 4 - 4*i**p = 0?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15382164 divided by 366242?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y**5\/7 + 1020*y**4\/7 + 4198*y**3\/7 + 3000*y**2\/7 - 248*y + 192\/7 = 0. Calculate y.\nAnswer: -2, 1\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - (-76)\/8) + 12\/8. Let s(f) = 88*f - 32. Is 29 a factor of s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/9)\/r**(-16) assuming r is positive.\nAnswer: r**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 3088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 30*v**2 - 210*v**3 + 14*v**3.\nAnswer: -196*v**3 - 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 2*f + 2. Suppose -x = -2*p + 8, 4*p + 2*x - 3*x - 20 = 0. Let q(v) = 6*v**2 + p*v**2 + 6 - 6*v - 7*v**2. Give 8*g(y) - 3*q(y).\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -24\nAnswer: 59\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -1, 25, -2\/13, 0, 4, 54 in ascending order.\nAnswer: -1, -2\/13, 0, 2\/19, 4, 25, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:39 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*i = 4, -4*i = -9*i + 10. Let v(l) be the first derivative of 11*l**2 + l + 6. Does 15 divide v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 1392*y - 121104 = 0.\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 235, 358, 481?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 2 + (7 - (-1 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:17 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x - 2*x + (2*x + 2*x - 5*x)*(-7 - 357 - 243))*(4 - 3 - 4) in the form z + w*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 5*u - 3. Let h(s) = -7*s + 0 - 1 + 2*s - s. Let f be h(-1). Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkhh when four letters picked without replacement from hkhk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 9808*q**2 - 5992640*q + 24127744.\nAnswer: -4*(q - 4)*(q + 1228)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*l - 7083. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-183\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - 1) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1636.8375 months?\nAnswer: 13.6403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 11. Let a(o) = 79 - o + 82 + 70 - 221. Give a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34930 by -1000.\nAnswer: 3493\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -9 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -0.8. Let j = 0.8 + r. Let x = -0.2346 + -0.1654. Which is the nearest to -1\/4? (a) 1 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 - 116*k - 6 - 116*k + 231*k - k**3. Let w be y(-6). Suppose w = 3*f - 5*i - 407, f - 2*i = -2*f + 404. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10976494 is divided by 1721?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**5 + 0*d**4 + 0*d + 4\/3*d**6 - 2 + d**3 + 0*d**2. What is the third derivative of g(f) wrt f?\nAnswer: 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.048 + 13.048. Suppose 6*b - 3 = -15. What is the closest to 0.1 in t, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**3 + 3*g**2 + 5*g - 7. Let j(l) = 15*l**3 - 7*l**2 - 11*l + 15. Give 3*j(d) + 7*q(d).\nAnswer: -4*d**3 + 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + 4*j - 9. Suppose -2*c - 3*g + 3 = 0, c = 4*c - 2*g - 37. Let h be k(c). Let z = h - 110. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 5*q + 4. Let u be a(-5). Let d = 3 + -1. Let x(n) = -4 + n - d*n - n**2 + 2*n**2. Determine x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -307, 0.153, 6\/5?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 9. Let y be p(-4). Suppose y*g - 23 = v - 4*v, 3*v - 2 = -2*g. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 364 + 516. What is the remainder when u is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1729)\/14)\/((-1)\/4). Let m = 498 - h. What is the greatest common divisor of m and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22200163 is divided by 476.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-3*(-39)\/9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 27*r - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2\/5, -5\/6, -0.98, 231, -0.1, 1.1?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 2, f: 4, b: 8}. What is prob of picking 1 h and 1 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most as big as -448.809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/20 - b**2 + 370*b. Let l(o) = -208*o**2. Calculate l(i(n)).\nAnswer: -1872*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/6 - 2*v. Let m = 14 + -8. Let h = m - 6. Calculate x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -7\/6 (c) 194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:24 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*h**3 + 5213*h**2 + 58*h**3 + 42*h**3 - 5213*h**2 + 47*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 224.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2*v + 16*p**2 + 9*p*v + 2*p - 2100*v wrt p.\nAnswer: 2*p*v + 32*p + 9*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -1388?\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1079640188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.42536 - 18.42536. Let g = -49\/129 + 2\/43. What is the second biggest value in g, h, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 62. Let f = -52096783\/55 + 947189. Let k = f - -123\/5. Find the common denominator of k and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3 = -7, -25 = -3*d + 4*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 21 + -32 - (-2 + 3 - 22).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-33)\/12 + 3). Let b = g - 1. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhlhhlgqsssh. Give prob of picking 1 g and 1 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/7*(-69 - (-9432)\/144)*1\/(-34).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2.167\nAnswer: 4.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 79*w - 1103. What is the lowest common multiple of h(14) and 10 + (-1 - -1)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -47*f + 57*f - 69 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -12. Let q(a) be the first derivative of 0*a**2 - 2*a + 3 + 0*a**4 + 2\/5*a**5 + 0*a**c. What is the derivative of q(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a907 (base 12) to base 10.\nAnswer: -80791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k. Let b(f) be the second derivative of -f**4\/3 + f**3\/2 - f**2\/2 + 5*f. Give -b(g) + 3*l(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ban when three letters picked without replacement from buabbunuuuoa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 1:07 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5\/9 - 50*m**4\/9 - 124*m**3\/3 - 434*m**2\/9 + 28*m\/9 + 16 = 0.\nAnswer: -4, -1, 1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -342*c**3 + 56*c**2.\nAnswer: -2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*v + 57*v + 14*v**2)*(-3*v + 0*v + 4*v) - 2*v**3 + v**3 + 2*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x**3 - 204*x**2 - 20016*x + 15120 = 0. What is x?\nAnswer: -30, 3\/4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 28 = 5*y, 3*u = 5*y - 3*y - 6. Let v(n) = 49*n**2 - 15*n - 17. Let o(z) = 25*z**2 - 7*z - 8. Let i(w) = 13*o(w) - 6*v(w). Is 20 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3969.9 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 170415 = 2*u, -5*u + 426030 = 41*a - 36*a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*n - n = -119, 5*d + 117 = -4*n. Let y be 980\/d - (-1)\/5. Calculate the remainder when 3\/(-3)*y - -4 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b - 3. Suppose -8 = w - 9. Let s(u) = u - 1. Determine w*o(r) - 3*s(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006101 rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2 + 4*c + 5. Let v = -6 + 3. Let w be 3*(1 + 4\/v). Let a(q) = -q**2 + q + 1. Determine w*z(n) + 5*a(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 4. What is the first derivative of s*z**3 + 3*z**3 - 2 - 4*z**3 + z**3 wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 84 = 22*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 75*x**2 - 46*x + 54. Suppose 0 = 5*o - 4*o + 2. Let c(y) = -15*y**2 + 9*y - 11. Let s(b) = o*a(b) - 11*c(b). Is s(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10395922 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1872*u**2*z**2 - 3*u**2*z + 49*u**2 - 425790*u*z**2 + 3*u wrt u?\nAnswer: -3744*z**2 - 6*z + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*x - 364*x = 125*x + 33864 for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - j + 71, 2*s + 371 = -3*s + j. Let u = s - -120. Let h = u - 24. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 579 = s, 0 = -12*b + 17*b + 5*s - 955. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1800 + -1712 - (2 - -133)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 757307113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 45*s**3 + 2600*s**2 - 14125*s = 0?\nAnswer: -565\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sufj when four letters picked without replacement from jjnuuuujnsjuuufuunuj?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 115 and -5\/15733 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y + 489. Let d be m(0). Suppose 5*c + 5*x = 566 + d, -4*c + 844 = 5*x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x + 110 + x - 115)*(-3*x + 0*x + x).\nAnswer: -20*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*f - 1 = -79, -5*w = 5*f + 165. Let p be (w\/(-4))\/((-9)\/(-12)). Suppose -2*k - 4*j = -7*k + 10, 0 = -5*j. Solve k*d + p = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let p = j + -1. Let d be 18\/4*(20\/15 - 2). Put p, -2, d in descending order.\nAnswer: -2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - -10 - (-10 + 23) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 (base 10) in base 3?\nAnswer: 2100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {f: 1, l: 5, d: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*a + 2*a - 7 = 0, 0 = -5*n + 2*a + 55. Suppose 200 = n*w - 5*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.10608398 rounded to 4 decimal places?\nAnswer: 6.1061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -17310 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -124 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510998841 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2. Let f be m(0). Let r(s) = -4*s - 2. Let x be r(f). What is the units digit of x\/36 - (-263)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 3. Suppose -275*l - 101*l = 3562 + 574. Sort 0, s, l, -5 in ascending order.\nAnswer: l, -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 10 = -4*o. List the prime factors of (-464)\/(-12) + o\/(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -1991, 10, 5, 3, -2 in decreasing order.\nAnswer: 10, 5, 3, -2, -130, -1991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -133, -184, -271, -400, -577, -808?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 21 = 5*w, 2*w + 2*w + g = 8. Let h be (20 + -23)\/(w\/(-1)). Suppose h*z - 33567064 = 49232936. Round z to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/9 (c) 1\/2 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 + 18524*t + 55590 = 0.\nAnswer: -3, 9265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = z - 4*z + 6, -3*t = 3*z - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -491\/5 in 100, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 19*h**2 + 32*h - 34. Let k be p(-17). Sort -0.25, k, -5 in descending order.\nAnswer: k, -0.25, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/28)\/(0 + 1). Let k = -7 - -4. Which is the third biggest value? (a) k (b) 4\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*g - 1856, 100*q - 103*q = -g - 2756. Calculate the highest common divisor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9. Suppose c = s - 11. Let m = s + -7. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 740929 = 3*g, -5*w - 263596 = g - 16613. Let d = 93973 + g. Round d to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-12) - (-4 + 26\/6). Suppose 0 = 5*f - 7*f - 4*p + 820, -5*f = -t*p - 2102. Calculate the remainder when f is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(11*25\/550*6\/(-11))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-425)\/(-275) - (-2 - -2) and 2\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 202. Let o = x - -139. What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**8\/6720 - 13*b**7\/2520 - b**4 - 4*b. Let l(m) be the third derivative of q(m). Let t be l(-13). Solve t*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.4 (c) -4 (d) -333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -175.5 from 65.5.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2248556.5 to the nearest ten thousand.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268965418.\nAnswer: 2, 134482709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9450)\/43875*50\/7\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**2 - l**2 + 5*l**2)*(-14*l + 14*l - 143*l**3 - 37*l**3).\nAnswer: -3240*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*n - 5*n + 5*i, -2*n + 12 = -2*i. Suppose m = -n*m. Solve a - 7 + 3 = m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 take away -1.1?\nAnswer: 152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12143699, -24287391, -36431079, -48574763?\nAnswer: -60718443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d\/d**(1\/2))\/d*d*d)\/d)*d**3 assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*l + 8, 0*y = -3*l + 2*y. Suppose -l*k + 3 = -13. Find the first derivative of -3*z**2 + 7*z**2 - 2*z**2 - k wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 26. Let l(m) be the third derivative of m**4\/3 - 161*m**2 + 3. Determine i(l(k)).\nAnswer: 64*k**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 20. Let n be (s*4\/(-8))\/2. Suppose -2 - 2 = -n*r. Calculate the highest common divisor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4*z - 189. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-30))\/((-3)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78)\/sqrt(6) - sqrt(13))*-6 + -6*sqrt(13)*-4)*1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*x - 54*x + 1109400 = -1781*x - 7488*x for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c - 349 - 71 = 0. Solve 0 = k - 3 + 6, -k + c = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44106, -44107, -44108?\nAnswer: -44109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c - 12. Let h be q(3). What is the first derivative of 2*y**2 + 11*y**3 - 3*y**h - 2*y**2 + 30 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let b = k + -4.2. Put -5, b, 4 in descending order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 11*b**2 - 63*b + 165. Let j be s(17). Solve -9*t + 882 - j = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 4:32 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n - k, -n = -2*n + 3*k + 2. Let z = n - -9\/2. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/13)*2. Let c(h) = -14*h**2 + h - 6. Let b(k) = -29*k**2 + 3*k - 13. Let r(u) = z*c(u) + 6*b(u). Find the second derivative of r(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.220715784 rounded to 3 decimal places?\nAnswer: -2.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u - 216. Let v be t(-20). Solve -v*f + 5 = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -1\/4 (b) 5 (c) -1\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -48*s - 12. Let d be r(-11). Suppose -7*w = -4*w - d. What are the prime factors of w?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/8)\/7 + 130\/180?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -50*n**2 - 4 + 49*n**2 - 2 + 10*n. Let l be b(10). Calculate the remainder when 55 is divided by ((-3)\/l - 0)*28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5112*i + 10220*i - 5114*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 11*f + 5 - 9 + 3 + 10. Determine z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 20, -5*a - 4*u = -21025. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - -9) + (1 - -13)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 83.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24362 + 1?\nAnswer: 24363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*i + 73*i - 3*i)*(2*i - 5*i + 4*i).\nAnswer: 134*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142457728019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*w - 53, -w - 4*b + 28 + 15 = 0. Suppose 22*t = w*t - 13*t. Solve 4*q = q - 3*h + 9, t = -4*h - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -552054541?\nAnswer: -552055015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4013350 (base 6) to base 5\nAnswer: 22014311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0366 + 11.7166. Let l = c - 12. Round l to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -596, -1132, -1844, -2732, -3796?\nAnswer: -5036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 520, 524, 528, 532, 536?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20111012101 (base 3) to base 5\nAnswer: -13041340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by 1743864.\nAnswer: 43\/871932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14589343 and 258833.\nAnswer: 6313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5. Let x(t) = 1890*t**2. Give x(o(q)).\nAnswer: 1890*q**4 + 18900*q**2 + 47250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 134664085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4536 - -249449\/55. Find the common denominator of 58\/5 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, -2*o - 3*o = 3*l - 5. Let z = 0.08 - -0.22. Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33\/7 + (-6)\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*d**2 - 39911*d**3 - 38*d**4 + 39911*d**3 wrt d.\nAnswer: -912*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:24 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y + 1. Let f(o) = 29*o**2 + 12*o + 9. Let m(i) = 6*c(i) - f(i). Let v(d) = -8*d**2 - 2*d - 1. Let q(z) = 6*m(z) - 17*v(z). Give q(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -182, -574, -1318, -2528, -4318?\nAnswer: -6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5 - 2*a**4 + 11*a**3 + 4*a**2 - 28*a + 16 = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3077, -3076, -3075?\nAnswer: -3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**23*s*s**25)**46 assuming s is positive.\nAnswer: s**2254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023.756413 to two decimal places.\nAnswer: 1023.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 34 = -4*t. Let f = t + -13. Suppose -f*i + w + 143 = -3*w, -2*i + 56 = -2*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 4. Let w be g(-11). Find the first derivative of -28*l + 32 + w*l - 2 - 25*l wrt l.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154000504 (base 6) to base 13.\nAnswer: 8a480a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:53 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 1. Let b be t(-1). Solve 0 = 4*z - 3*s - 10 + 1, -2*z + b = -4*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3108925*r**2 - 2*r + 2*r + 3108924*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*f + 45*f**2 + 253*f - 59*f.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vct when three letters picked without replacement from lcvvgmmtccttv?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i + 380. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(12\/(-126))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*d - 938 = 13*d - 162 + 858 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/5, 10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Let g be 8\/(-3) + 2\/3. Let v = g - -15. Calculate the remainder when v is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5263 divided by 31008.\nAnswer: -277\/1632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -182045 (base 10) to base 13\nAnswer: -64b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78332 in -2, -3032, 0, -1\/3?\nAnswer: -3032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -215, -427, -641, -857?\n\"Answer: -p**2 - 209*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8057, -15269, -21631, -27143?\nAnswer: -31805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -372505 divided by -1835?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 3\/10*z**5 + 3*z**2 + 0*z**4 + 8*z + 0 + 0*z**3. Differentiate u(k) wrt k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 23256.\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 402, 604, 806?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155.723 and 0.14?\nAnswer: 21.80122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6926, -13852, -20778, -27704, -34630?\nAnswer: -41556","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: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3399*c*j**6 + 3440*c*j**2 + c - j**6 - 2*j**2 wrt j?\nAnswer: 407880*c*j**3 - 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/70 - (-5376)\/27048\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 329840756.\nAnswer: 329840759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j = 200*j - 6*j + 988 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.411 + 199.171. Let v = -187 + n. Let m = 8.9 - v. Round m to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2. Suppose -2*r + 2 = -22. Let c be 23204\/r - (-1)\/3. Let h(f) = -1935*f**3 - 5*f**2 - 5*f + c*f**3 + 4*f. Calculate h(s) - 5*w(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28163887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/3 - 88*c**4\/3 + 350*c**3 - 588*c**2 = 0.\nAnswer: 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 5*r + 4*r)*(-251*r + 31*r - 775*r) to t + j*r + c*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -10 + -1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 325*a + 1315. Determine q(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*h - n - 4, 3*n = 6. Suppose -4*g - g = h. Let u be (-2)\/8*(2 + g). Which is the third smallest value? (a) 0.2 (b) -3\/8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1404210 - -2?\nAnswer: 1404212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41681 is divided by 372?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3427*v**3 + 7*v**2 + 3 wrt v?\nAnswer: 20562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let u be 1\/(14\/6 - k). Suppose 35 = 4*b + u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13481.622ms in minutes?\nAnswer: 0.2246937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 6*u + 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152680?\nAnswer: 2, 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 5)*(-85*g**4 + 32*g**4 - 29*g**4) as p*g**3 + l*g**2 + s*g**4 + a*g + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 119, 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r + 1. Is 7 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596008, -1192030, -1788074, -2384152, -2980276, -3576458, -4172710, -4769044?\nAnswer: -5365472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 44 - (-7 + 1 + 8 + -2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/5 + -1 - 3\/5. Suppose -o - 3*l - 5 = 0, -o = -6*o - 5*l + y. Solve -5*m = 2*b + 1 - 2, -5*m + o*b = -13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 152*b - 973. Determine s(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44739 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 u = -2 + 7. Suppose -5*l + 5*i = -u, 0*l - 2*l - 7 = -5*i. Suppose l*y + 3*k - 17 = 3, 4*k + 48 = 4*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: Simplify (((b**10\/b)\/(b*b**3))**(4\/39))**(-1\/61) assuming b is positive.\nAnswer: b**(-20\/2379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/600 - 7*i**5\/50 + 4*i**4 - 80*i**3\/3 + 116*i**2 + i. Factor k(j).\nAnswer: (j - 20)**2*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*q**3 + 2178 - 20*q**3 - 2179 + 26*q**3.\nAnswer: 56*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-306) + (-245)\/(-4998)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least -7909920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 158.5570735?\nAnswer: 158.7570735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-16)*-2 + (289 - 293).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -370*l**2 + 403*l**2 - l**6 - 4*l**6 wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2. Let d(u) = u**2 - u**2 - 3*u**2 + 5*u**2. Give d(s(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqu when four letters picked without replacement from {q: 15, u: 5}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91637650?\nAnswer: 2, 5, 13, 17, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + p + 18, -3*p - 3 = q + q. Let r be 1 + 0\/(-3) + q. Solve 4*o - 2*o = -r*n + 8, -3*o - 24 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 0.41. Which is the nearest to -2\/3? (a) m (b) 1\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7248*v - 7247*v - 71 = -3*n, -10*n = 5*v - 245 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 1. Let d(u) = 11*u**3 + u**2 + u - 5. What is 9*b(i) + 2*d(i)?\nAnswer: -5*i**3 + 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c - 5. Let d be x(4). Let i = d - -11. Let k(y) = -8*y + 57. Let m be k(7). What is the third biggest value in -2\/7, i, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65437350683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 91, 207, 369, 577?\n\"Answer: 23*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -346886 (base 10) to base 9\nAnswer: -577748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*w - 218*w - 9*j = -38, -w - 6*j = -3*w - w + 81 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2) + -2 + 0. Suppose 3*g - 5*i + 16 = 0, -4*g - 2 = 30*i - 27*i. Sort g, 4, l in increasing order.\nAnswer: g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (5 + sqrt(36)\/sqrt(48) + sqrt(3) + (sqrt(3) - (sqrt(24)\/sqrt(2) + sqrt(3))))**2).\nAnswer: -25*sqrt(3) + 475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -277526 - -20?\nAnswer: -277506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (62 - 64).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s + 12. Calculate d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 3507, 8464, 15561, 24804?\nAnswer: 36199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 178 = 4*i, -i + 22 = 5*h - h. Suppose -8*m + 7*m = 2. Let q(y) = 2*y**2 + y - 1. Let a be q(m). Solve 17 = -a*x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 42. Suppose -o = 3*f - 4*f - 4*h, -h = -5. Differentiate -4*l + f*l - 14*l + 23 + 6*l wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*n - 35 = -2*d, 0 = -5*d + 5*n - 15. Let i = 9 - -64. Suppose 4*h = -9 + i. Calculate the lowest common multiple of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 + 0 + 0)*(-5 + 5 - 4*d)*(-4*d - d + 4*d + (-5*d + 2*d + 4*d)*(-2 + 4 + 0)) in the form y + i*d**4 + v*d**2 + a*d**3 + n*d and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akk when three letters picked without replacement from {a: 5, k: 15}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2 + 382614*r + 12199456083 = 0.\nAnswer: -63769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 564*n + 460. What is r(-2)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1313.4 or 25150?\nAnswer: -1313.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -51, -9 in decreasing order.\nAnswer: 16, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(126) - (-1*sqrt(126) + sqrt(126))*-6) + sqrt(126) - sqrt(126)) + sqrt(126))\/sqrt(3))\/(((sqrt(42) + sqrt(5082))*6)\/sqrt(7)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x - 9. Let o be p(7). Let j be (o\/(-6))\/(3\/(-9)). Is 1 - (j*8)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367.5 times -18.1\nAnswer: -6651.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/10 and (-24)\/(-3) + 5551\/3406*-5.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.04 (b) 10 (c) 0.2 (d) 11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 2354466*l + 461959178763 = 0. Calculate l.\nAnswer: 392411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2633754\nAnswer: 5267508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9 and (-6 - (-75)\/12)*354\/243?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -196040755 + 196040754 + c**2 - c - 2*c**2. Let j(y) = -12*y**2 - 12*y - 12. Give -22*d(s) + 2*j(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47\/559 + -3\/43. Let d = 24 - 29. What is the closest to 2\/5 in d, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 141*l**2 + 3*l - 141 = 0.\nAnswer: -1, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - i - 14 = 0, 0 = 5*s - 2*i + 80 - 53 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9))**(-45)*h**(2\/5)*h\/((h\/h**(-3\/7))\/h) assuming h is positive.\nAnswer: h**(-316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19580\/13 + -1506. Let n = 13065\/29 + -423\/145. Let d = n - 449. Which is the third smallest value? (a) -1\/7 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6804, 6768, 6708, 6624, 6516?\nAnswer: 6384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 139099306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 16*d**2 + 3*d + 20. What is the tens digit of b(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/6 + 12\/18. Let z(m) = 3*m**2 - m - 2. Let c be z(w). Suppose -2*l = -l - c. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 4. Suppose -63*f + 60*f + 24 = 0. Let k be t(f). Is 1\/((-1)\/(-3)) + -1 + k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 532, 1996, 4414, 7786?\n\"Answer: 477*g**2 + 33*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185044.6*-0.3.\nAnswer: -355513.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17))**32 assuming a is positive.\nAnswer: a**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/5 + 307808*d**3\/5 - 307812*d**2\/5.\nAnswer: 4*d**2*(d - 1)*(d + 76953)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44756, -89606, -134452, -179294?\nAnswer: -224132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 2, 1, 740, -4 in ascending order.\nAnswer: -6, -4, -2, 1, 2, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -3, -1\/4, 3, 0, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/52732738 + -70239972183\/612279820918. Let r = -2\/683 + c. What is the smallest value in -0.1, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**5 + 52051*c**4 - c**3 - 92*c**2 - 973607?\nAnswer: 240*c**2 + 1249224*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 293?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s. Let h(u) = 24*u**4 - 3*u**3 - 3*u - 9. Let a(z) = -h(z) - 3*q(z). What is the derivative of a(i) wrt i?\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 262*z + 58*z = 4396 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 287197850 divided by -50?\nAnswer: -5743957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.71981 - -0.02019. Is -0.1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - (-74)\/14. Let i = -981 - -984. Solve -d - 2 - 3 = 0, i*g = -j*d - 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s. Let d(v) = 0*v**2 + 0*v**2 + 2*v - 3 - v**3 + v**2. Let m be d(2). Put 5, m, s in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 4*y**3 - 4*y - 5*y**3 + 6*y**2 - 8. What is the remainder when n(8) is divided by 78\/9*3\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -41*h + 1. Let f = -23 - -26. Suppose 4*s + w = -4, -2*w + 0*w = f*s - 2. Is x(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50262 greater than or equal to 2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 22. What is the remainder when b is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3354761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 1545447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 11 + (-1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**2*s**2 + 1608*j**2*s + 378*s**2 - 2*s - 19 wrt j?\nAnswer: 10*j*s**2 + 3216*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8632?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 9*u + 8. Let q be i(-8). Calculate the highest common divisor of 144 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86.17 + 87. Let i = -2.83 + y. Let h = 1\/17 - 20\/51. What is the nearest to h in 1\/6, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19555808.\nAnswer: 2, 389, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/21 - 6448*u\/7 - 77408\/21 = 0 for u.\nAnswer: -4, 9676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4620 and 240?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11417707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1496656 rounded to two dps?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -926?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**2*x**4 + 32*p**2*x - 4*p*x**5 + p*x**2 wrt x?\nAnswer: -384*p**2*x - 240*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from pbpzzpzp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:18 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**4 + 118099*m**2 + 1025642 wrt m?\nAnswer: -16*m**3 + 236198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0*c**2 - 4*c**2 + 2*c**2. Let v = 8 + -6. Let f(o) = o**2 - o**2 - 2*o**v. Give f(s(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 12 = 4*d, 28 - 20 = -3*q + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -8924.\nAnswer: -8923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 9*o**3 - 2*o**3 - 3 + 2 - 8 + 3 to the form j + t*o**2 + x*o + g*o**3 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 23*m**6\/720 - 13*m**5\/40 + 19*m**4\/12 - 3*m. Let v(h) be the third derivative of t(h). Differentiate v(b) wrt b.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83797 + 3103. List the prime factors of u.\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l\/(l*l*l**6)))\/l*l))\/(l*l*l**7)*l**7*l*l\/(l\/(l*l*l\/l**(-7))) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v**(1\/7)\/v)*(v*v**(-1\/6)\/v)\/v**(1\/11))**(5\/13) assuming v is positive.\nAnswer: v**(995\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2081\/11 + -189. Which is the third smallest value? (a) -6 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z**2 - 107*z**2 + 56*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 - 20*x - 64. Let i(a) = -10*a**2 + 17*a + 63. Give 6*h(m) + 7*i(m).\nAnswer: -10*m**2 - m + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3813035 by 12.\nAnswer: -3813035\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + 48. Let v(q) = -3*q**2. What is v(u(b))?\nAnswer: -75*b**4 - 1440*b**2 - 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 41*k**2 - 41*k + 131. What is the tens digit of c(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2, -2800 in ascending order.\nAnswer: -2800, -40, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*g = 2*g + 18, 1 = 3*a - 5*g. Let b be 8\/(-6) + (-78)\/9. Let p = -9 - b. Calculate the greatest common divisor of a and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 29. Let c = g - -16. Suppose -2*t + c*t = 4*i + 38, -2*i - 144 = -3*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 60. Let b = z + -14. Factor -18*w**3 - 9*w**2 + 9 + b*w**5 - 349*w - 3*w**4 + 3*w**2 + 364*w.\nAnswer: 3*(w - 3)*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*k**2*t - k*t + 41*k wrt k.\nAnswer: -200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-8) + 4\/16. Which is the third biggest value? (a) -0.5 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 535 - 455. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 7. Let w be h(3). Let p be ((-2)\/w)\/((-1)\/(-5)). Solve p*x + 5*t + 2 = 2*t, -x - t - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**2 - 22. Let n(g) = 5*g**2 - 8. Let w(p) = 3*i(p) - 8*n(p). Let r = 141 - 139. Let h(v) = 17*v**2 - 5. Give r*h(k) - 5*w(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4732\/11855 + 2\/2371. Which is the biggest value? (a) i (b) -5 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-520)\/(-78))\/(8\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*z**5 + 16\/7*z**4 + 20\/7*z - 8\/7 - 8\/7*z**2 - 16\/7*z**3 = 0 for z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 2618616*x**2 - 5237226*x - 2618612 = 0. What is x?\nAnswer: -1309306, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 w when three letters picked without replacement from nowenwyyeeyeeyewzz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1008 and 1995.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2627 - -2630. Solve 2 + 7 = k + 4*r, -4*r = -b*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4165*l + 20824. Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 452556?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21414890 and 2835?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 + sqrt(76) - sqrt(76))*-5)\/(1*sqrt(324)).\nAnswer: -5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22568 rounded to the nearest 100?\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 58 = 0. Suppose 6 = -2*u - 2*k, -u + 2*k + 3 = 5*k. Let m(t) = -t**3 - 7*t**2 - 10*t - 8. What is the remainder when l is divided by m(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31995.37 milligrams?\nAnswer: 0.00003199537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 280299035 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 (-22)\/55 - 12\/70?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)**(-2\/97))**(-8\/11) assuming u is positive.\nAnswer: u**(16\/1067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 11 = -8886*r + 8887*r, -2*s = 2*r - 22 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1868137, -1868149, -1868161?\n\"Answer: -12*v - 1868125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:12 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b474 + 186?\nAnswer: 1b61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 12*o**4 - 328*o**3 + 1776*o**2 - 1440*o = 0. Calculate o.\nAnswer: -10, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab1 (base 14) in base 10?\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.186, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -0.186, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -65. Let x = 159\/4 + f. Let m be 110\/(-84)*-7 - (1 + 9). Which is the biggest value? (a) x (b) m (c) -3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 20. Let w(u) = 2*u**2 + 5*u - 7. Suppose 0*b + 24 = -4*b. Let k be w(b). Calculate the greatest common factor of k and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411572, -2823966, -4236360, -5648754, -7061148?\nAnswer: -8473542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d + 109. Let p be a(-13). Let t be (-1332)\/p + 16\/28. What is the highest common divisor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -7*u + 502. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.058663 milligrams to tonnes.\nAnswer: 0.000000009058663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 67, 32 in descending order.\nAnswer: 67, 32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let b be -6 - 5\/(13 - 18). Let r be ((-4)\/10)\/((-2)\/20). Let n(a) = -r*a + 4*a - a**2. Calculate b*v(q) - 7*n(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*s**6 + 146*m*s**4 + m*s**3 + 2*m*s**2 - m*s + 7*m wrt s?\nAnswer: -120*m*s**3 + 3504*m*s + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4\/3, 2\/11, 0.5, 5.311, 4 in ascending order.\nAnswer: -4\/3, 0.1, 2\/11, 0.5, 4, 5.311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 19*f**2 - 47*f + 8. Let b be v(-16). Let s be (56\/b + -58)*-1. Are 65 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9967, 19935, 29903, 39871, 49839, 59807?\n\"Answer: 9968*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 87 - 13*w + 46 + 20.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 127*b - 1294. Determine g(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 15*g**2 + 7*g + 24. Let x be o(-16). Suppose 5*m - x = m. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18*(-18)\/(-6). Let p = 0.15952 + -0.05952. Which is the closest to p? (a) -0.1 (b) 3\/2 (c) -12 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4935 = 6091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 4*x**2 - x. Let b(t) = 4*t**3 - 4*t**2 + t + 3. Let f(q) = -8*q**3 + 9*q**2 - q - 5. Let u(h) = -5*b(h) - 3*f(h). Give -11*k(s) + 6*u(s).\nAnswer: 2*s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooouopoupopppupuo. Give prob of sequence popp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7032 is divided by 340.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -121, -150, -179, -208, -237?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 30*l + 23. Is m(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 33*k + 2028 = -3*k - 5*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(-3 + sqrt(192)*-2) - (((sqrt(192) + 1 + sqrt(192))*-2)**2 + -3)) + -2)*6.\nAnswer: -18504 - 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 7*d = -885. Suppose 50*f + 2088 = d*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuawiuhpiuwpwu. What is prob of sequence hiu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97213033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n, 0 = 4*z + 2*n - n - 97. Suppose 2*x = -4*b + 4, 2*b - z + 5 = -4*x. Solve f + x = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/13 - 20562*r**2\/13 + 52859760*r\/13 - 52839200\/13 = 0. Calculate r.\nAnswer: 1, 5140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/2 + 16\/3. Let s(t) = -284 + 2*t**2 + 294 + 0*t - 14*t. Let z be s(6). Which is the second biggest value? (a) z (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 10*a**2 - 29. List the prime factors of k(6).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(144)\/(sqrt(128) - sqrt(8)))\/(-3*sqrt(96)*2 - sqrt(96) - sqrt(96)))**2.\nAnswer: 2305\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 374*y**2 + 166 - 320 + 154 + 433*y**2 in the form j*y**2 + l*y + m and give j.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + 2.16. Let w = -0.6 - o. Let t = 0.2 + 2.8. What is the third smallest value in t, w, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 11 - (13 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3552, -6753, -9954?\nAnswer: -13155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 11. Let s(l) = 73*l. Determine s(k(w)).\nAnswer: 584*w + 803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5))**(-10\/3))**(-21)\/(p**(-13)\/p**0)**(1\/25) assuming p is positive.\nAnswer: p**(363\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 309*o + 2189. Calculate l(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(28)\/sqrt(4)*3).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -2e0?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 35, 44, 55, 68, 83, 100?\n\"Answer: n**2 + 4*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -1, 2, 19, 15, 1 in descending order.\nAnswer: 210, 19, 15, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 422b2 (base 12) to base 10\nAnswer: 86822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*p, 4*j - 2*p + 4*p = -24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/22083530 and -81\/27230.\nAnswer: 22083530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 488 * 2.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 312 = 3*f, f = s + 3*s + 111. What are the prime factors of (4\/6)\/(3\/f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13148, 13166, 13220, 13310?\n\"Answer: 18*a**2 - 36*a + 13166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5\/3 + 842*v**4 - 15062*v**3\/3 - 9234*v**2 + 60280*v\/3 + 23464 = 0.\nAnswer: -2, -1, 2, 7, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 5*t + 14, 2*t = -4*u + 38. Suppose -4*k + u + 7 = 0. Solve k*y - 9 = 2*z + 5, -2*z + y = -1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Let h = 10915 - 185561\/17. Sort -0.3, h, -0.4, c.\nAnswer: -0.4, h, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110100100 - 0?\nAnswer: -11100110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*w**4 + 395625*w**3 + 82052847*w**2 + 4219540539*w - 1212290430 = 0. Calculate w.\nAnswer: -103, 2\/7, 19045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44602152 = -89*i - 109*i - 3584274. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -56. Suppose -4*q - 178 = -2*c - 0*c, 4*q + 5*c = -143. Let s = q - r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33765197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*x = 4*y - 27, 5*y + 15 = -5*x. Let n be ((-6)\/(-21))\/(y\/14). Solve 0 = 7*v - 4*v + n*b + 10, v = 5*b + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*f + 3*o - 52, 3*o + 14 = 11*f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-12) - ((-47)\/6 - -8). Suppose 5*a + 7 - 14 = -i, 1 = 2*i - b*a. Solve -3*w = -t - 6, -t + 2*w - 2 - i = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3832760 divided by -5.\nAnswer: 766552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*r**3 - 289*g**2*r**3 + 15*g**2*r**2 + 163*g*r**3 + 62*g*r + r wrt g.\nAnswer: -6*g*r**3 - 578*r**3 + 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*t - 32. What is the units digit of t\/((10\/6)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 3*j**3 - 3*j + 26876 - 26872 + 31*j**3 - 8*j**3 + (1 - 2*j - 1)*(-28 + 28 - 7*j**2).\nAnswer: 40*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 5:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 + 1076*p**2 - 822*p**2 - 4 + 2*p**4 + 4 + 2 - p**3 to f*p + d + w*p**4 + q*p**2 + s*p**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7982445 is divided by 8104.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 1. Let t be s(-3). Suppose 21 + 95 = t*k. Let l = -91 + k. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 37, -998, -3 in increasing order.\nAnswer: -998, -3, -2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 17. Let d be v(15). Solve d*l + 5*b = 18, b = -0*l - 3*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -2*a + 5*v, 2*a - 12 = -v. Suppose 51*s = 44*s + 21. Solve 4*y + 5*f = 0, -s*y + 0*f = -a*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20716 is divided by 59.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 + 6353512*f**3 + 150872*f**2 - 34 wrt f.\nAnswer: 60*f**2 + 38121072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.98. Let t = 2.67 + -2.57. What is the smallest value in t, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8177696, -16355339, -24532982, -32710625?\n\"Answer: -8177643*d - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1)*(-1 - 74\/(-6)). Let a be (-1 - f)*(1 - -2 - 0). Suppose -a*h + 6 = -97*h. Solve -4*w - l - 14 = 0, w - 4 = 5*l + h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (11 + (3 - 1) - 14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40111002 + 120?\nAnswer: -40110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -61290 >= -306446\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98544 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -5\/629 (b) 13 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21798 and 48.\nAnswer: 174384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = 2*k - 0, -4*k + 4 = -4*i. Let p(u) = 8*u - 1 - k - 7*u - 2. What is p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 4419*t - 91479. Calculate q(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20000012030 - 23?\nAnswer: 20000012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 70*r**2 + 55*r - 1. Let g be s(-1). Put 55, 4, g in increasing order.\nAnswer: 4, g, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 15 + 9)*(r - 2*r - r)*(6 - 3 - 2).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202908 to the power of 1\/2, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 11. What is the least common multiple of j and 1\/4 - 473\/(-44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -2 - (-6 - -4). Let y(w) = -2*w + w + o*w. Let n(t) be the second derivative of 5*t**3\/6 - 3*t - 3. Give y(n(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445662957 is divided by 1356.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 106 + 586. Let s be (72\/g)\/((-18)\/(-150)). Solve 4*r + 1 = -2*v + 5, s = 4*r + 5*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:43 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lic when three letters picked without replacement from kkkcckinlbnccki.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3002 and 43\/419648.\nAnswer: 7973312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, 0, 198, 474?\n\"Answer: 39*p**2 + 3*p - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/10)\/(-11)*(2 - (-7)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -52, -77, -102?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -4 (c) -1\/3 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.069 in 4, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 1, a: 2, m: 3, i: 1, y: 3}. Give prob of sequence yamz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(684\/(-19))*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9808 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2)**(-7\/2)\/((j**(-1\/5)*j)\/(j**(-3\/8)\/j))*j**(-2\/5)*j\/((j*j**7)\/j)*(j**(1\/2))**44 assuming j is positive.\nAnswer: j**(117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6212, 0.06, 0, -2\/5.\nAnswer: -6212, -2\/5, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d - 303. Suppose 5*q + a + 216 = 0, 0*a + 4*a = 5*q + 236. Let x be n(q). Solve 4*r + 0*r + x = 5*k, k = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 6213111?\nAnswer: 6213115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t + 300*t - 2492 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*f**3 - 58*f**3 - 33*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - sqrt(114)*-1*4)\/(sqrt(384)*-2).\nAnswer: -5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 7*h**2 - h - 7. Let l(c) = -c**3 - 4*c**2 + 8*c + 8. Let t be l(-5). Let j be a(t). Solve 3*b + j*b - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 8. Suppose 40 = -5*a + 5*u, 0 = -2*a - a - 5*u - 24. Give w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/90 and (-26)\/156*668\/(-10) - 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3238 + -3238.1. Let k = 0.9 + -1.2. Which is the nearest to -2? (a) k (b) -3 (c) -2\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. What is the first derivative of -6 - 4 + 4 + f*z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1334?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 12. Factor -12*y - 125*y**2 - 95*y**3 - 68*y - 11*y**h - 20 - 24*y**4 - 5*y**5.\nAnswer: -5*(y + 1)**3*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*p + 36, -55*y - 84 = -60*y - p. What is the closest to y in 4, -0.5, -0.06, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.19292 decades?\nAnswer: 241.9292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112022112 (base 3) in base 7?\nAnswer: -42266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - g**2 - 4*g**4 + 3 + 110803*g + 12*g**3 - 110801*g to m*g**2 + j + n*g + t*g**4 + a*g**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 4*j = 22, -55*l + 5*j = -60*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365197244 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*a + 216*a + 215*a + 203*a + 215*a - 1067*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + 8\/6. Suppose 0*p = -p + k, -3*z = 3*p - 54. What is the remainder when 30 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 0 - (-6 - -1). Let l be -11882*7\/(-56) - 1\/4. Suppose -l = -x*c - 6*c. What are the prime factors of c?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*h + 18 = 0, -6*h = -5*o - h - 30. Is (-62974)\/(-30) - o\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -3*q. Suppose -5*l = -9*l + 40. What is the lowest common multiple of l and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/20 in -2\/3, 0.4, 0.1, 1410?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238067 - 238077.9999936. Let t = k + 11. Round t to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*p = 360*p + 11*g + 33, 5*g + 54 = 4*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygyg when four letters picked without replacement from {y: 11, v: 4, g: 3}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m - s - 1, 2*m + 3 = -3*s. Let h(u) = 7*u + 10. Let g(l) = 11*l + 15. Let d(r) = -5*g(r) + 8*h(r). What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/15)*j\/j**16)\/(j**6*j*j*j*j\/(j*j\/(j\/(j\/((j*j\/j**(-2\/23))\/j*j)))*j*j)))**(2\/73) assuming j is positive.\nAnswer: j**(-15746\/25185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -17, -8, 13 in ascending order.\nAnswer: -17, -8, 1, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*w - 37, 3*c - 10 = -5*w - 2*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dc19b9 - 1e?\nAnswer: -dc19d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -146913 divided by 2\nAnswer: -146913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5549170 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**7\/7560 + f**6\/2160 - 11*f**4\/12 + 37*f**2. Let z(l) be the second derivative of o(l). Suppose z(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*(d**(35\/4)\/d)\/d)\/d*d*d)\/d*d*d)\/d**(-27) assuming d is positive.\nAnswer: d**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 5*n**2 - 5*n + 6. Determine j(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 - (3576\/2)\/(-6).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10\/3, 0.1, -2\/29 in increasing order.\nAnswer: -2\/29, 0.1, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5112.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 1 - 3)*(i**2 - 4*i**2 + 0*i**2) to the form w*i**2 + r*i + v and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 463.2244 and -396.496.\nAnswer: 66.7284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 5001*p + 201148. Calculate n(-39).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 65 = 3*h + h, 2*h + 2*q = 34. Suppose -u - 6 = -3*u, 0 = 2*i + 4*u - h. Suppose b - n = -5*n + 19, b - i*n = 31. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*g - 3*a - 38, 2*g - 3*a = -6. Let f be -1 - (3 - g\/9*-6). Suppose f = 2*h - 63 - 133. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 9 = 0. Let u(x) = 8*x. Let r(p) = 2*p - 13. Let f be r(7). Let v be u(f). What is the highest common divisor of h and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 + b + 26. What is d(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34786 - 19171. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 12) to base 7.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-5) - 1\/(-5). Suppose x*o = 5*c - 130, 2*c - c = -3*o + 22. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**5\/10 - m**4\/3 - 5*m**3\/6 + 3*m**2. Let l(a) = 2*a**2 + 3*a + 2. Determine -4*b(t) - 11*l(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136105.56 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*a + 6 = -2*n + 303*a, -2 = -2*n - 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:52 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(3) - 6*sqrt(27)) + sqrt(3))*3)**2 + -1 + -4 + sqrt(75) + 1).\nAnswer: -20724 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3129669*h - 25037356. Determine m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4437136, 4437152, 4437158, 4437148, 4437116, 4437056, 4436962, 4436828?\n\"Answer: -w**3 + w**2 + 20*w + 4437116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1323401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -492379\/63 - -7816. What is the common denominator of -50\/791 and r?\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5476646, 5 in descending order.\nAnswer: 5, 4, -5476646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(8\/7)*w)**(-31\/2)\/(w**(-1\/10)\/w*w\/w**(-20\/9)) assuming w is positive.\nAnswer: w**(-9707\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1963.7 - 1963.700021396. Round x to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.781973*-5\nAnswer: 3.909865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 128162*d - 640837. Give y(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008304688007 plus -0.31?\nAnswer: -0.301695311993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6872*k**2 + 3367*k**2 + 3443*k**2.\nAnswer: -62*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -10\/9, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k, y - 2*k - 93 = 1. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102144?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.8 - 41. Let k = z - 7. Let u = 893 - 894. What is the nearest to -1 in k, u, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 1. Let p be 13\/(-15) - 388\/2910. What is the closest to -1 in u, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**7\/210 + 11*b**5\/60 - 13*b**3\/3 - 27. Let x(k) be the third derivative of j(k). Find the second derivative of x(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/72*(-153)\/(-34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 - 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 - 0.5. Let x = o + 59.28. Let i = x - 54. Which is the third smallest value? (a) 7 (b) 5\/3 (c) -2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*s - 28, s - 4*m + 0*m - 19 = 0. Is s*(2 - -87)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 22*v + 1 - 103 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2772 + 2717 + 2745 = -179*a for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -57\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24691 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6539\/8676 - 8\/2169. Let 18*d**2 - 6*d**3 + 12 - 24*d + r*d**4 = 0. Calculate d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 42 - -26) + 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.852262 tonnes?\nAnswer: 852.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s + 6. Let h be k(-2). What is the nearest to h in 0, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132750 = -451*x - 1381*x + 62*x for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 41376.23 millimeters?\nAnswer: 0.04137623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12543 and 991785.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.091.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 73050*a**2 + 4*a - 5. Let v be h(3). Suppose -v = -2*l + 682543. Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41 (b) 0 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230028881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9397, 9422, 9455, 9496, 9545?\n\"Answer: 4*n**2 + 13*n + 9380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/205 and (-2173)\/164*2\/82?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69291*q + 1586 = -69265*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g + 4*g**2 + 3*g**2 - 8*g + 2*g**2 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.7933ms in seconds?\nAnswer: 0.0597933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9261.022983 + -9261. Let g = i + -0.023. What is g rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 - -1125.704632139.\nAnswer: 1257.704632139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26838137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, u: 2, x: 6}. Give prob of sequence qqqx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) 59 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/2 - (-5)\/10. Suppose -8*g + s = -g. Solve g*x - 20 = 0, 0 = 4*y - x + 3*x - 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4)\/((-2)\/((-12)\/(-12)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19292375651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -38, -44, -50?\n\"Answer: -6*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*o + 329, 3*o = -5*u - 399 + 58. Let v be u + (1 - 9\/(-3)). Let r = v - -63. Solve -4*z = -r - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**4)\/(j**(-5\/2)*j*j))**(-14) assuming j is positive.\nAnswer: j**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/8 + n**4\/2 + n**3\/8 - 3*n**2\/4 = 0. Calculate n.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 4*j**2 + 68*j - 72*j + 1 - j**3 + 3*j**2 to the form v*j**3 + f*j**2 + q + g*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.1 - -21. Sort o, -0.9, 4 in decreasing order.\nAnswer: 4, o, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*i + 3*q - 0*q, 0 = i + q - 10. Solve -2*s - i*k - 26 = 0, -18 = 2*s + 4*k - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247\/53 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1 - 7 + 2750*s - 2883*s + 1. What are the prime factors of h(-2)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 + 115. Solve -p = -r, -4*r - 6 = -5*r + f*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z**4 - z**2)*(-2*z + 2*z - z) - z**5 - 2*z**5 + 5*z**5 + (3*z - 3*z - z**2)*(-71*z + 71*z + 12*z**3).\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - 191391.\nAnswer: -191410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 4 - 16*2. Let y be (-3 + k\/(-15))*-5. Suppose 5*v = -5*c + 55, -5*c - 1 = -5*v + y. Calculate the lowest common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.92. Let w = -53.92 - s. Let d = 54.00000063 + w. What is d rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(12*v - 7 + 7) + 0*v - 2*v + 4*v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2163 + 4706. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-32)\/(-2)))\/((-4)\/(-24)*114\/(-3116)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (4 + (14 - (-12 - -23)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**4 + 6*g - g**2 - 4*g + 4*g - 2*g + g**3 to the form v*g**4 + z*g + y*g**2 + r*g**3 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 3, s: 10, p: 3}. What is prob of picking 1 p and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsuuxxssuxxuzskssuz. Give prob of picking 1 u, 1 x, and 1 s.\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) - ((-68)\/144)\/(-1). What is the nearest to p in -3, -1.2, 3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1 - 60*x**2 + 59*x**2 + 7*x - 8*x. Let u(i) = -3*i**3 + 4*i**2 + 4*i + 3. Determine 4*g(s) + u(s).\nAnswer: -3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - (-9 - (-11 + 11 + -8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3247 - 525?\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-98))\/3)\/(((-120336)\/9660)\/(-218)).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q + 244. Let d = q - -307\/5. Let i = -17\/6 - -25\/6. Which is the nearest to 0? (a) 0.1 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -26031\/27202?\nAnswer: -26031\/27202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 436436 and 528?\nAnswer: 5237232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-11)*2\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + j = -360, -576 + 201 = -5*z + 4*j. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64311 divided by -291.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 134.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -63, -19, 59, 177, 341, 557?\n\"Answer: o**3 + 8*o**2 - 15*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 689 + -569. Calculate the highest common factor of 540 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68713 is divided by 84?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from kyyyyyyyyykkky.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.64 - -0.64. Suppose 10*s - 738 = 172. Let n = 89 - s. Which is the smallest value? (a) x (b) -1 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 6. Let g(r) = 14*r + 5. Let o(i) = -5*g(i) + 4*s(i). Let y(u) = u**2 + 7*u - 1. Let c be y(-7). Is 8 a factor of o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:00 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 20. Let i be x(5). Solve 5*j - 26 = v, -5*j - i*v + 13 = -7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/30)\/((-8)\/161988). Let b = -445421\/33 + c. Find the common denominator of -5\/8 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 57.7. Let u = -3.5 + 1.6. Which is the nearest to 0? (a) d (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4358.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1219967848 divided by -374683.\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2123619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423 and 268.\nAnswer: 113364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.764 + -657.464. Let y = 724 + o. Let l = 71 - y. Which is the fourth smallest value? (a) 0.4 (b) l (c) 1\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g)*(3*g**3 - 7790*g + 7790*g) - 3*g**4 + g**4 + 0*g**4 + (2*g**2 - 4*g**2 + 0*g**2)*(-6*g**2 + 5*g**2 + 3*g**2).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + 1 - (sqrt(720) + -1 - sqrt(720))*-4)**2*-3.\nAnswer: -2172 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80631267 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:23 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*s**2 + 0*s + 349*s**2 - 172*s**2 + 0*s + 12 + 2*s**3 to l*s**3 + x*s + z*s**2 + j and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054919288 times 0.1?\nAnswer: 105491928.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*f + 6. Does 6 divide 14 - f - (-4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57104.817 days in weeks?\nAnswer: 8157.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/42 - r**6\/2 + 5*r**5\/2 - 35*r**4\/6 + 15*r**3\/2 + 26*r**2 - 3*r - 1. Factor j(p).\nAnswer: 5*(p - 9)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 - -442. Suppose 227*t = 18476 - 3006 + 4279. What is the greatest common divisor of w and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3138*a + 3101*a + 2257 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 434.24 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 2*v + 12. Let d be t(4). Suppose 0 = 3*o + 4*q - 29, q = -3*o + 7 + 7. Let u be (o - -1)\/8*d. Sort -5, u, -3 in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - 20?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21914 = 123*b - 448662 + 48932. Is 98 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*h - 31*h - 25*h)*(-24 + 2 - 2)*(3 + 0 - 1).\nAnswer: -1680*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 17, l: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*f - 32 = 0, -p + 0*f + f = -9. Calculate the remainder when 0 - (-12 + (2 - -1)) is divided by (-1 + 2)*1 + p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 84 = -6*m + 42, 5*m + 28 = h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 444825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 40 = v, -4*t + 155 = -7*v + 4*v. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -319.703 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 56 = -4*w. Let f be (-3)\/(w\/(-4) - -2). Suppose 0 = 3*r + 15, 20 = -n + 6*n + f*r. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -31. Suppose -4*p = -6*p + h. Suppose -2*n - 55 = -3*a - 358, -p*a = n - 119. Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((63\/(-6))\/(-7))\/(33\/6182). Let r = -282 + w. Let d be 3\/(-8) + (-1 - -1). Is r >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88762*a + 107600*a + 79244*a + 232227*a.\nAnswer: 330309*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 13 = -5*o - 3, v + 7 = 4*o. Let b be o*1 - 0 - (25 + -25). Let c be (1 - (-1)\/(-2)) + 0. Put -0.3, c, b in decreasing order.\nAnswer: b, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + i)*(-i + 5*i - 3*i)*(-i - i - i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 + 275. Suppose 36 = 8*d - m. Calculate the remainder when 89 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 29. Let m be 1 + h*2\/(-4). Solve 2*f + 2*f + m = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764918 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*a, 4*a + 18 = -g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:29 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 262, 297, 362, 463, 606, 797, 1042?\n\"Answer: r**3 + 9*r**2 + r + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2 + i + 266*i**3 - 268*i**3 - i**2 - 2 + 3. Let s be b(1). Let z(y) be the second derivative of y**4\/12 + 5*y**3\/6 - y**2\/2 + y. Give z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*i - 1 - 2, -2*j = -4. Suppose 0 = -2*v - 4*w - 8, -3*v - w = -0*w + 2. Solve -4*h - i*x - 23 = v, -3*x + x = 5*h + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1988, -1960, -1914, -1850, -1768?\n\"Answer: 9*l**2 + l - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1610 and 385?\nAnswer: 17710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -1 + sqrt(147)))*-5*-5 - (5 + (sqrt(18)\/(sqrt(6)*-2) - sqrt(3))*-6))**2*-3.\nAnswer: -305904 + 22080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**5 + 4365*t**4 - 28915*t**3 - 53165*t**2 - 2175*t + 17720 = 0.\nAnswer: -443, -1, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 8*n + 9. Give o(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - (5 - 1))\/((-2)\/(-3)). Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -92?\nAnswer: -15\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-1575)*9 - 9\/(-210))\/((-48)\/45)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349 (base 14) to base 9.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 2278*x**2 + 435480*x + 437761. Let u(s) = s**3 - 759*s**2 + 145160*s + 145920. Let z(l) = 11*u(l) - 4*y(l). Factor z(i).\nAnswer: -(i - 382)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*-2*sqrt(112)*-5 + 0)*-2.\nAnswer: -400*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 27*n**3 + 18*n**2 - 7*n + 12. Let m(b) = -13*b**3 - 8*b**2 + 4*b - 5. What is -7*m(h) - 3*q(h)?\nAnswer: 10*h**3 + 2*h**2 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 4*z**2 - 4*z**2)*(-2*z + 3*z + z) + (0*z**3 + 3*z**3 + 6*z**3)*(15*z**2 + 12*z**2 + 2*z**2).\nAnswer: 259*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let a be 126\/33 + 4\/22. Let p(z) = 3*z + 0*z - 2*z - a*z. Determine l(p(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/5 + 13*t**2\/2 - 1. Find the second derivative of o(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1070*t**2 + 2670*t**2 - 915*t**2)*(-3 + 3 - 1 + 1 - 1 + 2 + (-1 - 1 + 0)*(-2 + 4 + 0)).\nAnswer: -2055*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-k - 15*k + k) - 2 + 2 - 2*k - 7*k - 15 + 1 + 13.\nAnswer: -54*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1384400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 21436.\nAnswer: -1093236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 3*f**2 - 2*f**2 + (2 + 0 - 1)*(-1 + 1 - f**2) + 2*f**2 - 6*f**2 - f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 18*a**2 + 4. Suppose 3*l = 13*t - 8*t + 14, 0 = 2*l + 4. Let h(w) = -19*w**2 - 5. What is t*h(i) - 5*m(i)?\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -17583.\nAnswer: 3\/5861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 623 - -6.71435.\nAnswer: 629.71435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3 + 0) - -1. Suppose -w*y - y + 15 = 0, -5*y + 11 = -2*a. Suppose -a*f + 2 = -n, 3*n - 5*f + 11 = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -31485, 3, 4, -6 in decreasing order.\nAnswer: 4, 3, -4, -5, -6, -31485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58631 is divided by 9659.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -84\/193, -6?\nAnswer: -84\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*i + l, -5*i = -0*i + 4*l - 47. Solve -23 = -3*h - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = 5. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*x - 2092, 4*x - 2*d - 2084 = 2*d. Let s be x\/14*(-6)\/(-9). What is the greatest common factor of 200 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**2 + 37*f + 68. Let c be i(6). Put -2, 1, 19, c, -4 in decreasing order.\nAnswer: 19, c, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + (sqrt(3200) + -1 - sqrt(3200)) + sqrt(3200))**2 + (sqrt(3200) - (sqrt(3200) - (sqrt(3200) + -2 + 5)**2)))*-3 + 3.\nAnswer: 7200*sqrt(2) + 96273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836342 is divided by 1030.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 11. Suppose -2*l - 5 = 11. Let t be d(l). What is the third derivative of 0*j**2 + j**2 + 3*j**5 - 4*j**t wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = n, 9*n - f - 30 = 14*n. Let m(k) = -22*k - 4*k**2 + 6*k**2 - 2 + 14*k - 3*k**2. Give m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1630 and 20427430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 328243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 - 76*l**2 - 145*l - 68. Let x(f) = 245*f**3 + 2050*f**2 + 3915*f + 1835. Let n(d) = -55*o(d) - 2*x(d). Let n(c) = 0. Calculate c.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 3*h**3 + 3*h**2 + 3*h.\nAnswer: -3*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61805, 61802, 61793, 61772, 61733?\nAnswer: 61670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 5*g**4\/6 - 13*g**2\/2 - 14*g. Find the first derivative of j(k) wrt k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**3 - 36*o**2 + 36*o**2)*(5*o - 3*o + 0*o) + (o**2 + 3*o**2 - 2*o**2)*(2*o**2 + 3*o**2 - 3*o**2).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39242572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -23, 5, 6, -1\/10346?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 20*k + 361. Calculate x(-27).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/334591588 and 149\/12.\nAnswer: 1003774764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/1295*((-453)\/(-84) - (-5)\/(-35))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 99065, -5, 0 in increasing order.\nAnswer: -5, 0, 5, 99065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46900 and 60207.76?\nAnswer: 107107.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*j**2 - 24282 + 24282)*(j**3 + 3*j**3 - 3*j**3).\nAnswer: 144*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7625, 7628, 7631?\nAnswer: 7634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 4}. Give prob of sequence gaga.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 337, -424, -1199, -1994, -2815?\n\"Answer: -o**3 - o**2 - 751*o + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2674141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 8*n**5\/5 - 102*n**4\/5 - 34*n**3\/5 + 102*n**2\/5 + 26*n\/5 = 0.\nAnswer: -1, -1\/4, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhgghqfgfgfgghggqqg. Give prob of picking 1 q and 1 g.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 207943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.9122 and 69?\nAnswer: 94.9122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + sqrt(891) + sqrt(891))*6)**2.\nAnswer: -3888*sqrt(11) + 128627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.15 - 16.49. Let f = 24 - t. Let s = -0.457 + f. Round s to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - 4?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4188*c**4 - 193*c**3*f + 3*c**2*f - 2*c**2 - 14*c*f + 7*f + 224 wrt c?\nAnswer: 100512*c - 1158*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 6*o**2 + 4*o**2 + 3 + 4*o**3 + 49*o - 18*o**2 - 48*o in the form g*o + u*o**3 + m*o**2 + l and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 27*i + i - 7*i = -1056 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 598.56407205042.\nAnswer: 596.56407205042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15\/48*(-8)\/30*(-36)\/40.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-3)\/(12 + -3)) + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*x = 29251 - 40771 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2184484*z**5 + 4404440*z**4 - 2255572*z**3 + 35760*z**2 - 144*z = 0. Calculate z.\nAnswer: 0, 6\/739, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -2*z, 3*z = 4 - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3 + -2)*39. Is f\/(-2) + (-2 - -7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 601600 and 2048.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 10506 (b) -2\/19 (c) -3 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, t: 1, c: 2, m: 2}. What is prob of picking 1 a and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 959 + 363 = 0. Suppose -3*b - 2*j = -0*j - 467, 2*b - 2*j = i. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by -6?\nAnswer: 350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*o + 1044 - 1047 = 0, 4*p - 12 = 5*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*c + 14, -15 = 4*l - 5*c - 4. Let r(x) = 42*x + 21*x + 40*x - 39*x. Calculate the remainder when r(l) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 345*g - 9169. Calculate w(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = 29*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60.85519 and 2.\nAnswer: -121.71038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 166*h**3 + h**2 - h. Suppose -3*y = -7*y + 4. Let g be x(y). Is g\/10 + (-6)\/(-15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1791 and 514557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(-2\/17)*h**(3\/5))\/((h\/(h*(h*h**(-9)*h*h)\/h))\/h*h**(-2\/23)) assuming h is positive.\nAnswer: h**(-4752\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:41 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/36 + -1 - 2\/(-9). Suppose u - 146 + 143 = y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-12))\/((-2)\/16). Suppose -a + j = -0*a. Suppose -15 = -a*f - f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = -h + 195, -22*z + 13*z + 55 = -4*z - 3*h for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*s = 5 + 4, -3*g + 5*s + 9 = 0. Suppose 6*a = 9 + g. Find the second derivative of w**5 + 15*w**5 - 3*w - 39*w - a*w**5 wrt w.\nAnswer: 280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n + 1. Let j(u) = -8*u**2 + 3*u + 2. Determine -j(a) + 2*v(a).\nAnswer: 10*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 6289 = -2454. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**8*z)\/z)\/(z\/(z\/(z*(z\/z**(-5))\/z))*z)*z**(1\/2)\/(z\/(z\/(z**(2\/9)*z))))**(1\/4) assuming z is positive.\nAnswer: z**(-265\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 x when three letters picked without replacement from gxeegxxxxxxgxexxxg.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*p - 1\/4*p**2 - 10000.\nAnswer: -(p - 200)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*r + 3*r**2 + 41*r + 22*r + 32*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31384*f**2 - 5262*f**2 - 5220*f**2 - 5223*f**2 - 5221*f**2 - 5227*f**2 - 5226*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.2713 to one dp.\nAnswer: 64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:21 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 2*s - 2*s + (0*s + 0*s - s)*(-3 + 2 + 0) + 307275*s + 300409*s - 614382*s to the form o*s + r and give o.\nAnswer: -6699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 21*w**2 + 21*w + 17. Let t be p(20). Suppose 0 = 11*q - t - 29. What is the tens digit of (84\/10)\/(q\/30 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(76)*-5)**2 - (-1*sqrt(76) + 3 - (2 + sqrt(76) + 1)).\nAnswer: 4*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7.5. Which is the closest to 2\/13? (a) -2\/19 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 + 8*d - 2. Give y(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15136 + -37901.67603\nAnswer: -22765.67603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17852 + -1428141\/80. Calculate the common denominator of d and 101\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798 is divided by 219?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Suppose -u*h + 19 = -1. Solve 0 = -2*f + 1 - 3, -h*f + 2 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 4, l: 2, y: 2, k: 1, t: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -5.32. Let w = -8.46 + z. Let u = w + -0.54. Round u to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -6 - (0 + 1). Suppose -v - 4 = -y - i*y, -5*v - 20 = 4*y. Solve -2 = 4*t + 4*n + 34, -n - 4 = y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z + 4*u - 43 = 0, -5*z + 2*u + 61 = 0. Let i = 143 + z. Let n = -100 + i. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56588*a - 113351*a - 2042 = -56673*a + 2368 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36 (b) -0.1 (c) -6\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 71\/3. Sort -0.4, z, -0.1 in decreasing order.\nAnswer: -0.1, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -110 - 4\/7*g**2 + 2\/21*g**3 - 24\/7*g. Factor r(l).\nAnswer: 2*(l - 6)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 49*r**5\/30 + r**4\/12 - r**3\/3 - 10*r**2. Does 7 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16378 - -32095. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*j = 36, 5*j - 6*j - 79 = 5*m. Let c be (-1)\/(-2 - 24\/m). Factor 0*k**c - 6\/7*k + 2\/7*k**3 - 4\/7.\nAnswer: 2*(k - 2)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*(-2 + (-1*(0 + sqrt(243)) - ((sqrt(243) - sqrt(243)*-1) + 1 - sqrt(243))) + -3))**2)*3.\nAnswer: 2592*sqrt(3) + 12084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 + 3041853*m**2\/7 - 54754083*m\/7 + 246394467\/7.\nAnswer: 3*(m - 9)**2*(m + 1013969)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -90. Let l(i) = 7*i**2 + 2*i + 3 - 5*i**2 + 3*i - j*i**2. Give l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-39*(-3)\/91)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = -3*k, 3*k - 5*o - 1 = -20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -55, 0, -7, -32 in descending order.\nAnswer: 0, -6, -7, -32, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 72*m + 90*m + 1089 = 34*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93e2bd (base 15) in base 14?\nAnswer: d1165a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547667155.1 rounded to the nearest 10000?\nAnswer: 547670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f + 4*f**2 + 2\/21*f**3 + 1\/28*f**4 - 1\/105*f**5 + 0. Determine g, given that v(g) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/3 + 32*y**3\/3 + 460*y**2\/3 - 1592*y\/3 - 672 = 0. What is y?\nAnswer: -9, -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 27025.\nAnswer: 24322.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:26 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 z when three letters picked without replacement from nzznzz.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5245, -21051, -47427, -84373, -131889, -189975?\n\"Answer: -5285*r**2 + 49*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - q + 205, 3*b + 2*b - 3*q = 205. What is the tens digit of (20\/(-4) - -2) + b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:53 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76870067 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 59 + (0 - (-7 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129141439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 4*p**3\/3 + 2*p**2 - 5*p. Does 12 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 81. Let f = b + -30.81. Let l = f + -0.1899944. Round l to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amz when three letters picked without replacement from {m: 1, a: 7, z: 4, v: 1}?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 8*j**2 + 7*j - 15. What is r(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 + -8)) + -6 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (74 - 74)\/(-1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 168 - 7*i)*(i - 3 + 2 + 2).\nAnswer: -7*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60642*t**5 + 249*t**3 + 2*t**2 + 854437*t?\nAnswer: 3638520*t**2 + 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93340 divided by -18668?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -133*g**6\/120 + 204*g**2. Let p(u) = 7*u**3. Determine -4*i(a) - 77*p(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/16840 and -35\/3534.\nAnswer: 29756280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = -u + 1, -2*x = 4*u + 8. Let l = -38 + 41. Let z = u + l. Solve -z*t = -7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 - 112*x**3 + 232*x**2 = 0.\nAnswer: -58, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/577239 and -23\/111397?\nAnswer: 6349629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 + 1656*k**2 - 228528*k + 10512288 = 0. Calculate k.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 14*m**2 + 81*m - 231. What is j(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 2*p + 0*p + (1 - 1 - p)*(-1 - 4 + 6) - 4*p + 0*p + 2*p + (4 + 3 - 6)*(0*p + 3*p - 4*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 534065, 1068090, 1602115, 2136140, 2670165, 3204190?\n\"Answer: 534025*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150757 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*m = -20, -4*m + 23 - 7 = 0. Does 13 divide 2*(585\/10 - u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = p + 3. Suppose 3*r - 7*r = -5*b + p, -r - 4 = -5*b. Suppose 4*t - 7 - 5 = 0. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:28 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7156 and -1.46.\nAnswer: -3.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1080077037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/15 and 74\/3489?\nAnswer: 17445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 7. Let l(z) = z**2 - 9*z. Let x be l(o). Suppose x = 5*u - 20, -4*w - u + 140 = 3*u. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*s**2 - 37*s**2 - 176*s**5 - 60 - 1961*s**5 wrt s.\nAnswer: -128220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = -w + 787. Let m be 122542\/(-72) - 16\/(-72). Let g = w + m. What is the common denominator of g and 33\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 44. Let r = t + 15. Suppose 2*a + r = 5. Solve 5*b - 10 = 5*y, 0 = a*b - 7*b + y + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 600334673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*a + 407*a + 30*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -21*b - 1. Let j be (-212)\/20 - 6\/15. Let w = -10 - j. What is the highest common factor of b and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyykyky?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 55 - 809*t - 31 + 807*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + a - 532 = 0, 0 = -4*s + 2*a + 2382 - 278. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {q: 4, k: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 - 300*m + 7. Let g(p) = -49*p**2 - 1506*p + 35. What is -2*g(v) + 11*z(v)?\nAnswer: -v**2 - 288*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95.199999828 + -95.2. Round q to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 668, 994, 1314, 1628?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-9)*(-71)\/(16685\/(-1128))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0333 + 12.0333. Let l = -2 + 1. Sort c, l, 0.3 in descending order.\nAnswer: c, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**17*z**(-4\/7)\/z**(-1) assuming z is positive.\nAnswer: z**(241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-2) - 2 - 19. Let h = m + 18. Let f be 2\/h + (-21600009)\/9. What is f rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:10 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 31 - 151 = h, -4*k + 345 = -3*h. Let c = -111 - h. Solve -3*t = -2*t + x - 9, -3*t + 2*x + 2 = c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449003, -897906, -1346809?\nAnswer: -1795712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -305, -0.12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 10625*k**2 + 5617875*k - 28355625 = 0. Calculate k.\nAnswer: -1065, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1239*q**2*u**2 - 54*q**2 - 5*u**2 - u - 2378 wrt q.\nAnswer: 2478*q*u**2 - 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 2*l**2 + 27. Let v be c(0). What is the second derivative of v*z**2 + 33*z + 0*z - 3*z**2 - 6*z wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.2 * 0.3\nAnswer: -5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*f - 2 = 0, -10*f = 5*s - 7*f - 12. Suppose -2*c = -2*w + 104, s*w = -0*c - 3*c + 132. Calculate the remainder when 186 is divided by w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4 + 128608*t**3 - 2*t - 2814859 wrt t.\nAnswer: -36*t**2 + 771648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ije when three letters picked without replacement from {p: 5, i: 1, e: 1, s: 2, b: 2, j: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1094*b**6 + 2*b**2 + 193.\nAnswer: 131280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 smaller than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from outuumumuuo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -409*f**3*i**2*z - f**3*i**2 + 2*f**3 + f**2*i**2*z + 22*f**2 - 7*f*i**2 wrt f.\nAnswer: -2454*i**2*z - 6*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 + 46*y**3 + 2*y**2\/5 - 46*y = 0. What is y?\nAnswer: -1, 0, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/6 (b) -15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 91*x - 81*x + 173*x + (3*x - 4*x - x)*(-2 - 1 + 5).\nAnswer: -3*x + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 999 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87\/2 + 42*a**2 + 345\/4*a - 3\/4*a**3.\nAnswer: -3*(a - 58)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 0, -16, -50, -108, -196?\n\"Answer: -m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*q + 10*c + 11, -2*q + 4 = 2*c. Suppose 20 = -y + 5*n, 5*n - 20 = q*y - 4*y. Solve y = 8*h - h - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/28)\/((-1)\/((768\/(-12))\/16))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6396 + 22207. Suppose 0 = -2*t + b + 6327, -t - 4*t - 4*b = -o. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 49. Let x(g) = -g**3 - 12*g**2 - g - 13. Let u be x(t). Let p(w) = w**2 + 7*w - 1. Let q be p(-6). Put u, q, -2 in descending order.\nAnswer: u, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4812 = -6*u + u, 0 = v - 4. Let f = -574 + u. List the prime factors of f.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 20 = -12*u. Let h = 42 - u. Suppose 2*a = 20 - 4. What is the remainder when h is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205718788 by 100892.\nAnswer: -2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177670 rounded to the nearest ten thousand?\nAnswer: 2180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ids when three letters picked without replacement from dzdqdqisszmm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.69644cm in meters?\nAnswer: 0.5169644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78483817?\nAnswer: 78483817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let i be d + 1\/((-2)\/(-2)). Suppose 5*y = 2*w - 5*w + 46, w - 2 = 5*y. Solve w = -i*r - 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + z)*(2*z - 6*z - 3*z) in the form t*z**2 + s*z + p and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-26) - 14964\/(-1508)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-z - 3*z + 2*z) - z - 5*z + 3*z)*(5*z + 553 - 553).\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdt when three letters picked without replacement from ttttttdttkttt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 78808.\nAnswer: 7880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 12. What is z(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 76. Let v = z - 34. Sort -4, 1, v.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcac when four letters picked without replacement from vbbbcbabbcbbb?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o**3 - 64*o**2 + 35*o + 34. Let d(b) = -55*b**3 - 322*b**2 + 172*b + 172. Let y(l) = -22*c(l) + 4*d(l). Factor y(k).\nAnswer: 2*(k - 1)*(k + 6)*(11*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418719 + 418794.0078. Let a = v - 75. What is a rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221176 - -11?\nAnswer: 221207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 24 = 3*t + 30, -7*t = -9*t + 3*r - 227 + 191 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 27266\/7947 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 328*u**2 + 63306*u + 390. Calculate a(-193).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -23*o**2 - 7*o - 72. Let f be j(-9). Does 32 divide (f\/(-364))\/(6\/224)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28 and -41\/202959?\nAnswer: 202959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlgg when four letters picked without replacement from {l: 9, q: 2, g: 7, k: 1}.\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010101011001111101 (base 2) to base 16.\nAnswer: 11567d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509709432?\nAnswer: 2, 7, 11, 2450827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2)*k)\/(k**(-2\/5)\/k))\/((k*k**(1\/4)\/k)\/k)**35 assuming k is positive.\nAnswer: k**(553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*f + 732*f + 2198*f.\nAnswer: 2257*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12*10395\/462\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1288, -2588, -3888, -5188, -6488?\n\"Answer: -1300*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 18*u**2 - 56*u + 9. Calculate r(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.085638 tonnes in grams?\nAnswer: 1085638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*3)*-6)\/(-2*sqrt(405)) - (5 + sqrt(17) + -3*sqrt(68) + -5*sqrt(68)\/sqrt(4) + 3).\nAnswer: -8 + 28*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*l + 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - 12*w - 12. Let l be g(7). Let o = -229 - l. List the prime factors of o.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0337182531 to five dps.\nAnswer: -0.03372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 10. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 25, 194 in decreasing order.\nAnswer: 194, 25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13302 + -6134. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -3994271, 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1*-6)\/sqrt(9)*-1.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -786*g**5*q**3 + g**2*q**3 + 2*g**2*q**2 - 42*g*q**3 wrt g?\nAnswer: -47160*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23593535*u**2 + 36908774*u wrt u.\nAnswer: -47187070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -985*g + 987. Determine u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687 by 229.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/18)\/((-24)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007832 to 5 dps.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.0427995 from -1.3.\nAnswer: 0.7427995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) - (-12)\/8. Suppose 11*m - d*m - 1755 = 0. List the prime factors of m.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1153*w - 5815*w + 1536*w + 3 + 1007*w to d + a*w and give a.\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-11 + 48) - (-1 - (-1 - -1)) - -2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 25*o = 53*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -544, -1980, -4366, -7702, -11988, -17224, -23410?\n\"Answer: -475*j**2 - 11*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -51106 divided by -46\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 146 = -50. Let c = b - 2. Let m(d) = 4*d + 10. Is m(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*d = -3703, -8*j - 4*d + 3699 = -3*j. List the prime factors of j.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:36 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i - 5. Let x be u(-3). Let z = 64 - 63. Let l(o) = 12*o**2 - 5*o + 1 + z - 4 - 11*o**2. Calculate l(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4825 = -169*c + 174*c. Let x = c + -722. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + f**3 + 2*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20.7. Let k = 7.3 + -6.29. Let z = 0.01 - k. Which is the closest to z? (a) -4 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 2 - 6*x - 16*x - 3.\nAnswer: -30*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhmmhxggiixxxxxxxggm. What is prob of sequence ix?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -10, -2, 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 + 273 - 13*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 54\/5 of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 21*d + 10 = 23*d, 0 = 3*t + 4*d - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -167187373.3 minus -16889?\nAnswer: -167170484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2 - 11*s + 13. Let f(p) = -6*p**2 + 64*p - 24. Let n(m) = -2*m**2 + 17*m - 6. Let v(r) = -3*f(r) + 11*n(r). Calculate -6*d(c) + 13*v(c).\nAnswer: -4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 688 + -667. Calculate the remainder when 627 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 5*n**4\/13 - 862*n**3\/39 + 863*n**2\/13 - 164*n\/13 - 5525. Determine o, given that k(o) = 0.\nAnswer: 1\/10, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4\/5 - 176*t**3 + 63936*t**2\/5 - 1489472*t\/5 - 3241792\/5.\nAnswer: 4*(t - 74)**3*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -80*p**3 + 270*p**2 + 35*p + 35. Let u(q) = 9*q**3 - 30*q**2 - 4*q - 4. Let i(v) = 35*u(v) + 4*y(v). Determine t so that i(t) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12628)\/(-42))\/22*-9. Sort -3, p, 0 in descending order.\nAnswer: 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270714 (base 10) to base 5\nAnswer: -32130324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*-38.256851\nAnswer: -267.797957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1659+-17832.46\nAnswer: -19491.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, j: 3, x: 2, h: 4}. Give prob of sequence xtx.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1676, -1691, -1706, -1721, -1736, -1751?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2125 - -125. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*w. Suppose -w*y + 80 = -y. Suppose -2*i + 8 = -y. What is the remainder when i is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, f: 2, c: 2, l: 2, h: 3}. Give prob of sequence lcc.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(((-430)\/(-30) + -12)\/((-28)\/(-12))) - 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 1 + 0*g - 1\/6*g**3 - 1\/60*g**5 + 5\/24*g**4 - g**2. Let v(r) be the second derivative of w(r). What is v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let m(y) = 2*y**2 - 3*y - 110. Determine j(m(g)).\nAnswer: 4*g**2 - 6*g - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 672367*w + 1024. Is v(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -9*q**4 + 4071*q**3 - 59865*q**2 - 192879*q + 70794 = 0.\nAnswer: -3, 1\/3, 18, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - n**5 - 3*n**5 + (-4*n**3 - 2*n**4 + 4*n**3)*(-2*n + 0*n + 3*n) - 759*n**5 + 7589*n**2 - 7589*n**2.\nAnswer: -762*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305246 greater than 305248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 58. Let u(o) = 448*o. Give j(u(n)).\nAnswer: -448*n - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 12. Let k(u) = -3*u + 35. Suppose 5*n - 25 = -5*r, -3*r = 6*n - 2*n - 24. Let v be k(n). Put x, -1, v in descending order.\nAnswer: v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2*b**2 - 2*b**2)*(-49*b**2 - 32 + 1795231*b - 1795231*b + 146*b**2).\nAnswer: 97*b**4 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 511 and 1468103.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 8*h**2 + 6*h - 45. Let q be p(5). Let u be 4\/(-10) - 502\/(-5). What is the greatest common factor of u and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177 - -179.22. Let l = f - 0.22. Let g = -1 - -1. Put l, -2\/3, g in ascending order.\nAnswer: -2\/3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:50 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 4 (b) 0.04182 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) -1865 (c) -35 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80567.21 years in centuries?\nAnswer: 805.6721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 0.064, 1\/3, -388, 5\/9, 3\/4?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otbfqbu. What is prob of picking 1 o, 1 u, 1 q, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 955*o + 966*o - 5 + 956*o + 946*o - 3826*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:47 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003949 rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22498583501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(6\/5) + 31\/(403\/(-182))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxgogoin. Give prob of picking 1 x, 1 z, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 42063.\nAnswer: 5089623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 412253.8 to the nearest one hundred.\nAnswer: 412300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2327 - 1062754*c**3 + 1060636*c**3 - 678 wrt c.\nAnswer: -6354*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 2*o + 0*o)*(0 + 3 - 1) + (o - o - 22*o)*(-5 + 2 + 5) in the form m*o + n and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 3*v - 1. Let j be (5\/1 + -4)*-11. Let l(f) = -8*f**2 + 9*f - 3. What is j*n(i) + 4*l(i)?\nAnswer: i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 16*m**2 + 81*m - 19. Calculate d(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168 - -23 - -136) + -45.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02196 times 386?\nAnswer: 8.47656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 45*s + 1. Let d be i(-1). Let y be (-4)\/(-12) + d\/(-3). Suppose 2*b = -b + y. Solve 0 = -b*k - 3*t + 7*t - 40, 3*k = 5*t - 37 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751426 is divided by 11741.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/6 (b) 23\/5 (c) -5 (d) -0.3 (e) 116.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72988211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 163.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, k: 2, r: 3}. What is prob of sequence ro?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z + 2. Let r(l) = 6*l + 3. Let f(p) = 3*q(p) - 2*r(p). Let d(c) be the second derivative of -1\/6*c**3 + 0 - 10*c + 0*c**2. What is f(d(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 25. Let k be h(-14). Suppose -2*n - k*n - p - 44 = 0, p = -3*n - 26. Let t = 19 + n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553894437, -1107788880, -1661683325, -2215577772, -2769472221, -3323366672?\nAnswer: -3877261125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -47\/1923 (c) -0.5 (d) 2\/131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -24*q**2 + 96*q + 5. Give k(2).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 589998 + 40?\nAnswer: 589a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309992631?\nAnswer: 317, 7287043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3695*o - 521*o - 700*o.\nAnswer: -4916*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -1\/40*n**4 + 1\/5*n**2 + 0*n + 3 - 1\/10*n**3. Let u(p) = 0. Calculate p.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421460544 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: Let a(x) = -3*x**2. Let j(h) be the third derivative of -1379*h**5\/60 + 2264*h**2. What is a(j(u))?\nAnswer: -5704923*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164759331 to the power of 1\/2, to the nearest integer?\nAnswer: 71866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/13, -418, 29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -10100101100?\nAnswer: 10100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4023776.\nAnswer: 2, 125743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 178. Is 195056\/7 - (r - 15\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(315)\/sqrt(7))\/sqrt(9) + 4).\nAnswer: 3*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -1\/5, 58, 2\/7, -0.41?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4, -5*d + 4 = -4*w - 2*d. What is the units digit of w\/(-7) - 88\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 276\/48 - 2528\/128.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 60802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40627972 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 123 + 1 + -54\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*s - 8*s**3 - 47*s + (-2 - 3 + 2)*(4*s**3 - 2*s**3 - 3*s**3) + s**3 - s**3 + 2*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose -m - 27 = -2*c, o*c + 2*m = -c + 21. Let d = c + -9. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222.9585 + -0.0415. Which is the smallest value? (a) p (b) -0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.6051 rounded to one dp?\nAnswer: 480.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*q, -k + 0*k - 5*q = -20. Solve -2*b = 4*x - 14, b - k*b - 27 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254683\/301 or 845?\nAnswer: 845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3 = o, -x + 5*x + 3*o - 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -149234*x**3 - 3*x**2 - 2*x + 1. Suppose -4*k + 10 = -6. Let g be q(k). Let v = g + 14951031. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m**2 + 3 - 4*m**2 - 3 to q + y*m**2 + h*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(10\/7))**(7\/4))**(-2\/11) assuming i is positive.\nAnswer: i**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 17*z + 10. Let c be (-19 + 16)*z\/(-6). Solve 3 = 4*o - m, 3*o + c - 3 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 + 6*a + 8. Let o be b(7). Let q = 39 - 33. Calculate the remainder when (o*-22)\/(-1 - 0) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 = 3*y - 2*s, y + 5*s + 5 = 0. Solve y = -3*n - 4*l - l, 4*n + 5*l - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 94. Let x(o) = -6*o + 90. Let l(f) = 5*x(f) - 4*y(f). Determine l(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017508 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10023331 (base 6) to base 16\nAnswer: -452a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 + 69*x\/7 + 590\/7.\nAnswer: (x + 10)*(x + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 3:46 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.7 - -488.7. Let c = r - 484. Let d = 11 + -16. What is the smallest value in -2, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -671.9947 - -672. Round q to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-13\/3))\/(r\/(r**1*r)))**(-18) assuming r is positive.\nAnswer: r**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/271 - 7850\/813. Let o = h - -10. Suppose 0*g + 4*g = 4. Which is greater: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054237.\nAnswer: 11, 67, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 175*b - 2. Suppose 2*o - 28*z + 28 = -24*z, 4*z = -3*o + 28. Determine m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2141*j**2 + 26*j + 54. Is k(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-18) + 8\/16. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 16*f**2 + 3. Let v be 3\/(3 - 90\/32). Let a be c(v). Solve -4*b + 13 = -a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-26 - -31) + -10 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 125 = -100 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419 - 335. Suppose l - 5 = 0, -2*o - 3*l = -o - x. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11372.8 and -6.\nAnswer: 11366.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231980.71 - -231992.7099986. Let h = 12 - g. Round h to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -2. Let j be 0\/s + -3 - -6. Solve -2*r + j = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 + c - 11. Let l(z) = -z**3 + 9*z**2 + 10*z + 9. Suppose -23*n - 30 = -26*n. Let a be l(n). Is d(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 14. Let i = d - 69. Let w = i + 70. Calculate the highest common factor of 90 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4228.\nAnswer: 8456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*p - 15, -12518*i - 5*p = -12514*i - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/(0 - 1\/2). Suppose r = -a*n + 22 - 98, 2*n + r + 28 = 0. Is n equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.2 (c) -11\/5 (d) 7 (e) 4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(153) - sqrt(153)*-1)*-3 - (sqrt(272) + (-1*sqrt(272))**2 + 2 - (sqrt(272) + 6*(sqrt(272) + -1))**2).\nAnswer: -286*sqrt(17) + 13090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414052 (base 8) in base 4?\nAnswer: 1201200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13193572 and 35?\nAnswer: 65967860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -63. Let c(t) be the first derivative of 23*t**3\/3 + t**2\/2 + t - 1. Does 9 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + -3 + sqrt(425)*-4 + -5 + 5*sqrt(425)*-3))**2.\nAnswer: 36480*sqrt(17) + 2457104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*j + 3*j = 23, -4*j + 32 = 5*n. Suppose 0 = -3*a + n*p - p + 195, 4*a - 265 = 3*p. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11268130 to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) + (-838)\/9. Let z = 94 + p. Suppose -3 + 6 = 3*i. Which is the nearest to i? (a) z (b) 6\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2 = -3*g + p, 3*g - p = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/30 + 4\/6)*-8. Let g(q) = 1718*q**3 - 7*q**2 - 10*q - 16. Let j be g(z). Round j to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1931302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4, 3 in descending order.\nAnswer: 6, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let f = 6 + -5.7. Which is the third biggest value? (a) j (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let h(x) = -x + 9. Let f be h(7). Let r(q) = -3*q + 1 - 2 - f + 2. What is r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-6))\/(24\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9016.3ml to litres.\nAnswer: 9.0163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}